Name: Intersecting and Parallel Lines
Uploaded: 2019-07-19
Duration: 3 min 57 s
Description: Ladders and railway tracks are examples of parallel lines. In this video, we will learn about intersecting lines and parallel lines in detail. Watch the vide...

Question

Study the following figure and answer the question given below.

Identify the line segments in the above figure. Write the names of all the line segments. How many line segments are there? How many points of intersection can be seen in the above figure. Which line segment intersect each other and at which points? What is a line segment. Write in your own words?

Accepted Answer

Consider the below figure:

A line segment is a portion of a line that has fixed end points and fixed length but no width or thickness. It is named by two capital letters marked on its end points.

Therefore, the line segments in the above figure are $A C, C E, A E, B F, B D, F D$ . Thus, there are six line segments in the above figure.

Now, let us rename the above figure in the following way to find the point of intersection.

We know that,

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, that exists on all the intersecting lines. Such points are called the point of intersection.

Therefore, in the above figure we can observe that $O, P, Q, R, S, T$ are the points of intersection. So, there are six points of intersection.

Here, we have $A C$ and $B F$ intersect each other at $P$ .

$A E$ and $B F$ intersect each other at $O$ . $B D$ and $A C$ intersect each other at $Q$ .

$B D$ and $C E$ intersect each other at $R$ . $F D$ and $C E$ intersect each other at $S$ . Moreover, $A E$ and $F D$ intersect each other at $T$ .

Chhattisgarh Board Solutions for Chapter: Line Segment, Exercise 4: ACTIVITY 3

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Chapter: Line Segment, Exercise 4: ACTIVITY 3

Questions from Chhattisgarh Board Solutions for Chapter: Line Segment, Exercise 4: ACTIVITY 3 with Hints & Solutions

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