In the given figure, Write three pairs of parallel lines

The given figure is, We know that, two lines are said to be parallel to each other if they lie in the same plane and do not meet even when produced up on any extent on either side whereas if two lines lie in the same plane and are not parallel to each other are called intersecting lines. Thus, from the above definitions we can conclude that in the given figure the three pairs of parallel lines are A B ↔ and C D ↔ , C D ↔ and E F ↔ and A B ↔ and E F ↔ . Hence, the pairs of parallel lines are A B ↔ and C D ↔ , C D ↔ and E F ↔ and A B ↔ and E F ↔ .

In the given figure, Write three pairs of intersecting lines.

The given figure is, We know that if two lines lie in the same plane and are not parallel to each other are called intersecting lines whereas two lines are said to be parallel to each other if they lie in the same plane and do not meet even when produced up on any extent on either side. Thus, from the above definitions we can conclude that in the given figure the three pairs of intersecting lines are P Q and M N , R S and M N and U V and M N . Hence, the three pairs of intersecting lines in the given figure are P Q and M N , R S and M N and U V and M N .

In the given figure, Write six line segments.

The given figure is, We know that, a line has only length. It has neither width nor thickness. A line is represented by a straight mark with two arrow heads and is denoted by two capital letters. Now, a line segment is a part of a straight line. Thus, six line segments in the given figure is as follows, A B ¯ , C D ¯ , E F ¯ , A C ¯ , B D ¯ , C E ¯ and D F ¯ . Hence, the required line segments in the figure are A B ¯ , C D ¯ , E F ¯ , A C ¯ , B D ¯ , C E ¯ and D F ¯ .

In the given figure, Find the points of intersection.

The given figure is, We know that if two lines lie in the same plane and are not parallel to each other, they are called intersecting line. The intersecting lines share a common point, which exists on all the intersecting lines and is called the point of intersection. Thus, the points of intersection in the given figure are A , B , C , D , E , F and O .

In the given figure, Write all sets of collinear points.

The given figure is, If three or more points lie on the same line then the points are called collinear points whereas the points which do not lie on the same line are called non-collinear points. Thus, collinear points in the given figure are A , F , B , A , O , D , A , E , C , B , O E , F , O , C and B , D , C .

In the given figure, Write the line segments.

The given figure is, We also know that, a line segment is a part of a line. The above figure shows a line segment A B , which has two end points A and B and is denoted as A B ¯ Now, from above definition and representation of line segments we can say that in the given figure, Line segments are A B , B C , A C , A D , B E , F C , A F , F B , B D , D C , A E , E C , B O , O E , F O , O C , A O and O D

In the given figure, Write the line segments that are concurrent.

The given figure is, We know that if three or more straight lines (in the same plane) pass through the same point, the lines are called concurrent lines and the point is called the point of concurrence. In the figure, the concurrent lines are A D , B E , F C intersecting at point O .

E M B I B E

GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 6>Chapter 14 - Concept of Line, Line Segment, Ray and Point>Let's workout - 14

Let's workout - 14

Author:West Bengal Board

West Bengal Board Mathematics Solutions for Exercise - Let's workout - 14

Simple step-by-step solutions to Let's workout - 14 questions of Concept of Line, Line Segment, Ray and Point from GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 6. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.