{"id":789285,"date":"2024-06-19T11:35:51","date_gmt":"2024-06-19T06:05:51","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=789285"},"modified":"2024-06-19T11:35:51","modified_gmt":"2024-06-19T06:05:51","slug":"cbse-class-6-ncert-maths-chapter-4-basic-geometrical-ideas","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-4-basic-geometrical-ideas\/","title":{"rendered":"NCERT Class 6 Maths Chapter 4 &#8216;Basic Geometrical Ideas&#8217;: Notes and Solutions (Free PDF)"},"content":{"rendered":"\n<p>In this chapter, students will understand the concept of geometrical shapes and their properties. The students will get to know about the points, line segments, lines, intersecting lines, parallel lines, rays, polygons and many more shapes. Read through for CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes, Exercise and Important Questions.<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-pale-ocean-gradient-background has-text-color has-background has-link-color has-medium-font-size wp-elements-5723353a8844c7c65acb3a9acc4f9e7c\"><a href=\"https:\/\/drive.google.com\/file\/d\/1Xj9D5LNcEejmoN08nHbG4yh9JEk2M98B\/view?usp=sharing\"><strong>CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes Free PDF Download<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-c67cc788e177c8c3b3737e9c02b15f13\"><strong>Explore all the Chapters of Class 6 Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-1-knowing-our-numbers\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-2-whole-numbers\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-3-playing-with-numbers\/\"><strong>Chapter 3<\/strong><\/a><\/td><td>Chapter 4<\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-5-understanding-elementary-shapes\/\"><strong>Chapter 5<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-6-integers\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-7-fractions\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-maths-class-6-chapter-8-decimals\/\"><strong>Chapter 8<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-6-chapter-9-notes\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-10\/\"><strong>Chapter 10<\/strong><\/a><\/td><td><strong>Chapter 11<\/strong><\/td><td><strong>Chapter 12<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-cbse-class-6-ncert-maths-chapter-4-basic-geometrical-ideas-notes-free-pdf-download\">CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes &#8211; Free PDF Download<\/h2>\n\n\n\n<p>Below we have given topic-wise notes for the CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas. We have also provided a downloadable free PDF at the end of these notes so you can download and take a printout to study later when you need quick revision before going to the exam hall.&nbsp;<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f9bbbb\"><strong>Also Read: Different Branches of Mathematics<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-1-points\">Topic 1: Points<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Point:<\/strong> A point determines a location. If you mark three points on a paper, you will be required to distinguish them. For this, they are denoted by a single capital letter like A, B, and C.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-2-line-segment\">Topic 2: Line Segment<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Line Segment:<\/strong> A line with a definite length, i.e. it has two endpoints on either end is called a line segment. The two endpoints, say A and B (including A and B) denote the line segment by AB or BA with a (&#8211;) on top.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-3-line\">Topic 3: Line<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Line: <\/strong>A line has no endpoints and has an infinite number of points. A line through points A and B can be represented as AB with a (\u2194) on top.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-4-intersecting-lines\">Topic 4: Intersecting Lines<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Intersecting Lines:<\/strong> Two lines having a common point are called intersecting lines.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>For eg, let us consider two lines l<sub>1 <\/sub>and l<sub>2<\/sub> intersecting at a point P will be represented as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh6.googleusercontent.com\/EllKE8B6iR-5Pg3l-mFaPdZGZfuHa7j27P3-BmAmV-0BLmCQQYkluxcK2liTjJl0abZb5345x2BjgunE_sWn601oA9XYaLjUwBjYE7VX1aZIsWSB7nZ1PCOIH22TorQV0a_PrRdjLjBJSS_nDixXTXM\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-5-parallel-lines\">Topic 5: Parallel Lines<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parallel Lines:<\/strong> Lines that do not have a common point or the lines that do not meet are called parallel lines.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>For eg, the lines A, B and C given below are parallel lines.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh3.googleusercontent.com\/WkQe2R4BjzRBv5rB4Pfxt1Q392YXQbwZOGLLUlgiUccD-UWlJFAd0l0qX4w2hMRK6M-VeMGns1sUPsFskRyrXu1F3qCzW9_rAIzpqonxguGU4SH3heegEhw5vo8f34XcSJ2Ldf0hyU6OI6VNQezk5Uo\" ><\/figure>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f9bbbb\"><strong>Also Read: Trigonometry Formulas for Quantitative Section in Competitive Exams<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-6-ray\">Topic 6: Ray<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Ray: <\/strong>A ray is a portion of a line, it starts at one point (called a starting point) and goes endlessly in a direction.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-7-curves\">Topic 7: Curves<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Curves:<\/strong> Curve\u2019 in everyday usage means \u201cnot straight\u201d. If a curve does not cross itself, then it is called a simple curve.<\/li>\n\n\n\n<li><strong>Open Curve:<\/strong> When a curve does not make a closed shape.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh6.googleusercontent.com\/eZy2erQhcBp2Z7rDTWMTQ3E2LLXgS2ZCb4NwGcg2-j5Jyii4xQuStgqnD7OSg0dcpsKt1tEHzANtpMqH7sCB0syeWoy1qWR9Xs30sR1kvUqtG6gF6qm00C1CSLi3iHV9DXEXX5LWpOlZtBCPnsKGhEc\" ><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Closed Curve:<\/strong> When a curve makes a closed shape\/figure.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh3.googleusercontent.com\/JYLg9rzfxAtquZL0PmTWPk7EyPOto_1WKcAlhJgA0T4Iyp7mIZoYDYGz5TUX8ZCsm-a9Gs-Wz3LE-6pw0WsYQcjCjwK22y6KyHSiUC85hW2hjFBBKkH_oFOYq22ycYe_r-SnQLN8hU4D3YkPF-4b19c\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-8-polygons\">Topic 8: Polygons<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Polygons: <\/strong>Any closed shape formed solely by line segments is called Polygons.<\/li>\n<\/ul>\n\n\n\n<p>For eg,&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh6.googleusercontent.com\/BBrHPJcjfzbypxQPxb0_ClBa129JuUWDERgbBLKn6Te86j16hyfRgS3zbEpeWOJIoxkpjPbce3psQEqGC4Xqug31gkZFzhKiBzCD5p33z9UCMGeAp76eIMXX3oU-zBBJraQz1X-f4WmtMUQR73m3OCM\" ><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Sides: <\/strong>The line segments forming a polygon are called its sides.<\/li>\n\n\n\n<li><strong>Vertices: <\/strong>The meeting point of a pair of sides is called its vertex.&nbsp;<\/li>\n\n\n\n<li><strong>Diagonal: <\/strong>Consider the pairs of vertices which are not adjacent. The joins of these vertices are called the diagonals of the polygon.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-9-angles-nbsp\">Topic 9: Angles&nbsp;<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Angles: <\/strong>Angles are made when corners are formed. Note that in specifying the angle, the vertex is always written as the middle letter.<\/li>\n<\/ul>\n\n\n\n<p>For eg, the angle formed by rays OP and OQ is \u2220POQ.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh5.googleusercontent.com\/QIPsiNnvkDh2LpHlTACto-TTXLsoFCubymlf3i5a-BCct3itab2zrxuE437WxHJaMCCvrUiysxRjLRYG6iieMBXaslJECushajTetO7eJeq-7jC_IizNg7NQuTLuzYEmnSODXCJrbQtsPRowQJmFIdg\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-10-triangles\">Topic 10: Triangles<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Triangles: <\/strong>&nbsp;A triangle is a three-sided polygon.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Introduction - Basic Geometrical Ideas - Chapter 4 - Class 6th Maths\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/dQxczxQmV_k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Source: Mathematics Class VI<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-11-quadrilaterals\">Topic 11: Quadrilaterals<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Quadrilaterals: <\/strong>A four-sided polygon is a quadrilateral. It has 4 sides and 4 angles.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-12-circles\">Topic 12: Circles<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Circles: <\/strong>A circle is a simple closed curve which is not a polygon. It has some very special properties.<\/li>\n\n\n\n<li><strong>Radius:<\/strong> The radius is a line segment that connects the centre to a point on the circle. It is represented by \u201cr\u201d.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh3.googleusercontent.com\/zELaNbXmXN8MVyQScSq89oh0jTqMKVm9sjem7vTVkAy7uPM6QaTjlJGsyS-UU4ermOaPA7jjpVaPU2x7ymCxlfY8h2Bio8nt8gYpVTz7qOXXKXMD_9ioxUngp3347eKaRrrPYwEbvQkjgei0pLTgtKw\" ><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Diameter:<\/strong> A line segment passing through the centre of a circle and connecting to either side is called the diameter. For a given circle, the diameter is double the length of the radius of the circle, i.e. d = 2r.&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh3.googleusercontent.com\/MVElf6IbZhq_IMG6FZCnJJBnWrCfIpWAe0NEtvp0k7fC9KQ-3MQVOqubCMDJ2dLMI3bOuk-mY4eWp1dA8tcO3maHnEPbCG5-Rh3jMDOEa83GTcvhKISiOad7WotVU9Lk0zhOoAigD24ndAil3QMIey8\" ><\/figure>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-pale-ocean-gradient-background has-text-color has-background has-link-color has-medium-font-size wp-elements-5723353a8844c7c65acb3a9acc4f9e7c\"><a href=\"https:\/\/drive.google.com\/file\/d\/1Xj9D5LNcEejmoN08nHbG4yh9JEk2M98B\/view?usp=sharing\"><strong>CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes Free PDF Download<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-c67cc788e177c8c3b3737e9c02b15f13\"><strong>Explore all the Chapters of Class 6 Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-1-knowing-our-numbers\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-2-whole-numbers\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-3-playing-with-numbers\/\"><strong>Chapter 3<\/strong><\/a><\/td><td>Chapter 4<\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-5-understanding-elementary-shapes\/\"><strong>Chapter 5<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-6-integers\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-7-fractions\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-maths-class-6-chapter-8-decimals\/\"><strong>Chapter 8<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-6-chapter-9-notes\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-10\/\"><strong>Chapter 10<\/strong><\/a><\/td><td><strong>Chapter 11<\/strong><\/td><td><strong>Chapter 12<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-important-questions-in-ncert-class-6-maths-chapter-4-free-pdf-download\">Important Questions in NCERT Class 6 Maths Chapter 4: Free PDF Download<\/h2>\n\n\n\n<p>Below we have provided some important exercise questions and their solutions from Chapter 4 of CBSE NCERT Maths for Class 6.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-1\">Exercise 4.1<\/h3>\n\n\n\n<p><strong>Q 1. Name the line given in all possible (twelve) ways, choosing only two letters at a<\/strong><\/p>\n\n\n\n<p><strong>time from the four given.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh4.googleusercontent.com\/eJ-kpbOz9Nr6T1RVrOn2i7ibh6en4U2wms0X9EiEPQriwnuHsi45cy-Pn_5331P6N2z9qsBRfGjj6mjtmru8Sx_3RsPN0Z1iKH0MlmO1NXcUS2wbkyiElrYLJu0OBqElrB6Ze_3dkOvAqvH1_daP8mg\" ><\/figure>\n\n\n\n<p><strong>Ans.<\/strong> The names of the line in all the twelve possible ways are:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh6.googleusercontent.com\/ujbPEQPp-p8EmOrkBfFRQqllmbA6X3tIb3lD2Lrp2zABcnrqCsRjZugvzLAiKLfIZrQqa6KqsUS6vaBfLA3Jo1mH3oZAg3wUe-L9sPRwzKQwjMYONxXvdqHXUC79AWjhwSaKEjWZVJ24HGmJzOBMHro\" ><\/figure>\n\n\n\n<p><strong>Q 2. How many lines can pass through (a) one given point? (b) two given points?<\/strong><\/p>\n\n\n\n<p><strong>Ans.<\/strong> The answers are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Infinite numbers of lines can pass through 1 given point.&nbsp;<\/li>\n\n\n\n<li>Only 1 line can pass through 2 given points.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p><strong>Q 3. Consider the following figure of line MN. Say whether the following statements are true or false in the context of the given figure.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Q, M, O, N, P are points on the line MN.<\/strong><\/li>\n\n\n\n<li><strong>M, O, N are points on a line segment MN .<\/strong><\/li>\n\n\n\n<li><strong>M and N are end points of line segment MN .<\/strong><\/li>\n\n\n\n<li><strong>O and N are end points of line segment OP .<\/strong><\/li>\n\n\n\n<li><strong>M is one of the end points of line segment QO .<\/strong><\/li>\n\n\n\n<li><strong>M is point on ray OP.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh3.googleusercontent.com\/w7M3Fo3g4-5Ykwwdf9QnasHVKVBfQQ651CehdeD7OMWOtFDKIN5i1eMksR1foqEMmMQdCzlK3nOZF_tGn05mLmNHvI1AJvmdL32BFmZxiAQZ7bfMQ6MOhk8VMpR2l3pikY1snEEAIYOGpfSDrzj3za4\" ><\/figure>\n\n\n\n<p><strong>Ans.<\/strong> The answers are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>True<\/li>\n\n\n\n<li>True<\/li>\n\n\n\n<li>True<\/li>\n\n\n\n<li>False<\/li>\n\n\n\n<li>False<\/li>\n\n\n\n<li>False&nbsp;<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-2\">Exercise 4.2<\/h3>\n\n\n\n<p><strong>Q 1.&nbsp; Draw any polygon and shade its interior.<\/strong><\/p>\n\n\n\n<p><strong>Ans.<\/strong> The below given figure is a polygon with its centre shaded.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh5.googleusercontent.com\/OSbKwoXFtC2g2m2M2XYRp641rUOmgU6gZd2i83ZHFUjbZp3PJjnt9lYiQ0zqF6LXNX4eiat1LuwvH6fn9hcXFlYFQNE5sZr4czhw4zGSZfybKAjTeS95UQOKBABYEVqkdqh-uoqGcMcduZBhZQtPIrc\" ><\/figure>\n\n\n\n<p><strong>Q 2.&nbsp; Consider the given figure and answer the questions :<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Is it a curve?<\/strong><\/li>\n\n\n\n<li><strong>Is it closed?<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh5.googleusercontent.com\/yCswM0zveGKwEPCuJTmM01OZunA5kB6D77sVHZDjgd17NjiR2ECKSW636YixnwTZzbbJ5v9jQcMUwf8CXWK6D5VW157zBnZpAJU3Ec1fde--l8TXMujy9kYHfdaKlXX_sZEXTXidC7EJU7QAi8f9pEQ\" ><\/figure>\n\n\n\n<p><strong>Ans.<\/strong> Let us see each statement below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>All the lines are connected in the given figure, making it a closed curve. Hence, yes, the given figure is a closed curve.<\/li>\n\n\n\n<li>Yes, it is a closed curve.<\/li>\n<\/ol>\n\n\n\n<p><strong>Q 3.&nbsp; Illustrate, if possible, each one of the following with a rough diagram:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>A closed curve that is not a polygon.<\/strong><\/li>\n\n\n\n<li><strong>An open curve made up entirely of line segments.<\/strong><\/li>\n\n\n\n<li><strong>A polygon with two sides.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Ans. <\/strong>The illustrations in each case are given below.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><img  loading=\"lazy\"  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  width=\"116\"  height=\"116\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh6.googleusercontent.com\/ZKKToDos6ItS4qVewk0cIF2_HmW1oJqrlex7ZDy17-ScHErIWFUBlBcX5M1otzW-dj8neScIkJMqyrzoP4t6M-nzgfDHmmH_vTvmr3Kv6GonX5Y37YTS6R15K3UAEZCSxWdK_JVDfhCE6RM9YgIb2zk\" ><\/li>\n\n\n\n<li><img  loading=\"lazy\"  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  width=\"257\"  height=\"195\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh4.googleusercontent.com\/G6szbDl-B-qeU4nTAQ1wiH96N9YPq4qCxE585fRLtolq4iTeNRDdpVfEA0EUFIR09jWeF6k-AyCNTl-Q4fzgLVuGHiAjJDD75NbADCLxvmQE1nTMo1XaPogZkENx6Y4p0ujMIEG2YTC3b9rwumSdRV0\" ><\/li>\n\n\n\n<li>A polygon requires a minimum of 3 line segments. So, it is not possible to form a polygon with 2 sides.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f9bbbb\"><strong>Also Read: <a href=\"https:\/\/leverageedu.com\/blog\/multiplication-and-division-word-problems\/\">Multiplication and Division Word Problems<\/a><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-3\">Exercise 4.3<\/h3>\n\n\n\n<p><strong>Q 1.&nbsp; In the given diagram, name the point(s)<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>In the interior of \u2220DOE<\/strong><\/li>\n\n\n\n<li><strong>In the exterior of \u2220EOF<\/strong><\/li>\n\n\n\n<li><strong>On \u2220EOF<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh5.googleusercontent.com\/0U5ZYB7Ha-m2uzKmXp_tjqybYNxduvcCcsoNu--CAxk_A29y28nlZTIwrwrv5jytBRx0zDlRT9S8bvDfu4jux_N6f79fjkN5KECASMcp6jHKVvRKYo5IVMNuZx3Es9OUxbQERJjJCAjQbH1YFG0Swv4\" ><\/figure>\n\n\n\n<p><strong>Ans. <\/strong>The answers are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The point in the interior of the \u2220DOE is A.<\/li>\n\n\n\n<li>The points in the exterior of the \u2220EOF are C, A and D.<\/li>\n\n\n\n<li>The points on the \u2220EOF are E, B, O and F.&nbsp;&nbsp;<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-4\">Exercise 4.4<\/h3>\n\n\n\n<p><strong>Q 1.&nbsp; Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?<\/strong><\/p>\n\n\n\n<p><strong>Ans. <\/strong>The point A is neither in the interior nor in the exterior of the triangle. The point lies on the triangle.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh4.googleusercontent.com\/RfTrmUABjSP6u7tNOEY051FS6yYXp9tqBfv_ECgr3UvrNqb_O2_JcKCM49RdmQfKAEJp3FI_1-ex1E29Qzo63nW0wx0Z-X0xbzGtSVaZ1GJOnIeiz7mqiRvSARTTIua3JWVAw1nydhalET3ocj12W6I\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-5\">Exercise 4.5<\/h3>\n\n\n\n<p><strong>Q 1. Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?<\/strong><\/p>\n\n\n\n<p><strong>Ans. <\/strong>The meeting point O of the diagonals PR and QS of the quadrilateral PQRS lie in the interior of the quadrilateral.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh4.googleusercontent.com\/mytnfBkTnfo3AljH3rIwiIcrIBVoLKxneopol4NrITQiQg6dUCY_dKYZIUqkg6JrLuO0r0HP8wP4AdiSytN2oyGSjWlfE2RvP5t-o22aCZOeSgg3Rbv9W4OXBoDdntuw854kQU9-jGSUlge_3VmCf_U\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-4-6\">Exercise 4.6<\/h3>\n\n\n\n<p><strong>Q 1.&nbsp; From the figure, identify :<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>the centre of circle&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>three radii<\/strong><\/li>\n\n\n\n<li><strong>ED, the shaded region.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Q 2. Is every diameter of a circle also a chord?<\/strong><\/p>\n\n\n\n<p><strong>Ans. <\/strong>Yes, every diameter of a circle is also a chord. The diameter is called the longest chord in a circle.<\/p>\n\n\n\n<p><strong>Q 3. Say true or false:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Two diameters of a circle will necessarily intersect.<\/strong><\/li>\n\n\n\n<li><strong>The centre of a circle is always in its interior.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Ans. <\/strong>The answers are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>True. The diameter of a circle passes through the centre. So, yes, two diameters will necessarily intersect.<\/li>\n\n\n\n<li>True<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-pale-ocean-gradient-background has-background\"><a href=\"https:\/\/drive.google.com\/file\/d\/1bum_cXu62rc6hHYh-qu52rcFoZoAJ3h9\/view?usp=sharing\"><strong>Click here to download the CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes and Important Exercise Questions and Answers Free PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-ad7d682c27e3e1dfcceab5e202ea5e6f\"><strong>Explore Notes of All subjects of CBSE Class 6:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-6-english\/\"><strong>CBSE NCERT Notes Class 6 English<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-for-history\/\"><strong>CBSE NCERT Notes Class 6 History&nbsp;<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-geography\/\"><strong>CBSE NCERT Notes Class 6 Geography<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-civics\/\"><strong>CBSE&nbsp; NCERTNotes Class 6 Civics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-maths-notes\/\"><strong>CBSE NCERT Notes Class 6 Mathematics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-science\/\"><strong>CBSE Notes of Class 6 Science<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Also See:<\/strong>\u00a0<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-1-knowing-our-numbers\/\"><strong>CBSE NCERT Class 6 Maths Chapter 1 Knowing Our Numbers Notes and Important Questions &#8211; Free PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-2-whole-numbers\/\"><strong>CBSE NCERT Class 6 Maths Chapter 2 Whole Numbers Notes, Exercise and Important Questions &#8211; Free PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>CBSE NCERT Class 6 Maths Chapter 3 Playing With Numbers, Exercise and Important Questions &#8211; Free PDF<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1696331232188\"><strong class=\"schema-faq-question\">Q.1. What is a circle?<\/strong> <p class=\"schema-faq-answer\">Ans: A circle is a simple closed curve which is not a polygon.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1696331289215\"><strong class=\"schema-faq-question\">Q.2. How are angles formed?<\/strong> <p class=\"schema-faq-answer\">Ans: Angles are made when corners are formed. Note that in specifying the angle, the vertex is always written as the middle letter.\u00a0\u00a0<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1696331338902\"><strong class=\"schema-faq-question\">Q.3. What is a Ray?<\/strong> <p class=\"schema-faq-answer\">Ans: A ray is a portion of a line, it starts at one point (called a starting point) and goes endlessly in a direction.\u00a0<\/p> <\/div> <\/div>\n\n\n\n<p>This was all about CBSE Class 6 NCERT Maths Chapter 4 Basic Geometrical Ideas Notes and Important Exercise Questions and Answers PDF Free Download. Follow the <a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-maths-notes\/\"><strong>CBSE Class 6 Maths Notes<\/strong><\/a> for more such chapter notes and important questions and answers for preparation for CBSE Class 6 Maths.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"In this chapter, students will understand the concept of geometrical shapes and their properties. The students will get&hellip;\n","protected":false},"author":70,"featured_media":789293,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[477,389],"tags":[],"class_list":{"0":"post-789285","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-ncert-study-material","8":"category-school-education"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Class 6 Maths Chapter 4 &#039;Basic Geometrical Ideas&#039;: Notes and Solutions (Free PDF) | Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"CBSE Class 6 NCERT Maths Chapter 4 the concept of geometrical shapes and their properties. 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