6th Maths Geometry: Points and Lines Study Material (Term 1 Unit 4)

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Points and lines

6th Maths : Term 1 Unit 4 : Geometry

Introduction

When we have a line, we can mark a point on the line or not on it.

Line with points A and B

‘A’ is on ‘\(l_1\)’, ‘B’ is not on ‘\(l_1\)’ or ‘\(l_2\)’. ‘B’ may be closer or far away, but not on the both of the lines ‘\(l_1\)’ and ‘\(l_2\)’. However, when any two points are given, there is exactly ONE line passing through them! Take several pairs of points and verify if this is true.

Collinear Points

What about 3 points and a line? Consider the following lines ‘\(l_1\)’ ‘\(l_2\)’ ‘\(l_3\)’ and ‘\(l_4\)’ and A,B,C be three points.

Three points configuration

When all the three points are on a line, they are special; we call such points as collinear points.

Perpendicular Lines

When two lines intersect at right angles (90°), we call them as perpendicular lines. (Refer to 4.31)

Perpendicular lines illustration

Activity

A book is an object where you can see parallel, perpendicular and intersecting lines.

Suggest atleast 2 more examples having parallel, perpendicular and intersecting lines.

Book activity example

Concurrent Lines

Two intersecting lines cut at a point. Will three lines intersect at one point? Fig.4.32 will help you to answer this.

Concurrent lines intersection

When many lines intersect at a single point, that is again special, we call that point P as a point of concurrency. The lines are called concurrent lines.