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Chapter 1: Q11. (page 15)

In the following diagram HL炉and KT鈫�intersect at the midpoint of HL炉. Classify the following statement as true or false.

LH鈫�is same as HL炉

Short Answer

Expert verified

The statement 鈥�LH鈫�is same as HL炉鈥漣s false.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of segment and line.

A segment is a part of the line that is bounded by two endpoints. Thus, a segment has 2 endpoints.

A line goes on infinitely in both the direction. A line has no endpoints.

03

Step 3. Step description.

Here HL炉represents a segment. Thus HL炉have two endpoints Hand Land all the points between these two points and LH鈫� represent a line and it is extended infinitely on both sides.

Since HL炉is a part ofLH鈫� thus, they are not the same.

Therefore, the statement 鈥�LH鈫� is same as HL炉鈥� is false.

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