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Chapter 1: Q7. (page 15)

In the following diagram HL¯andKT↔ intersect at the midpoint of HL¯. Classify the following statement as true or false.

MT¯bisects LH¯.

Short Answer

Expert verified

The statement MT¯bisectsLH¯is true.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of midpoint.

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Here the statement LM¯≅MH¯implies that the length of the line segment LM¯is equal to the length of the line segmentMH¯ such that LM¯=MH¯.

03

Step 3. Step description.

As HL¯and KT↔intersect at the midpoint of HL¯and that intersection point is M, thus Mis the midpoint of HL¯.

This implies that KT↔bisects LH¯and MT¯is also a part of KT↔and its one endpoint is the mid-point of LH¯, so it is true that MT¯bisect LH¯.

Therefore, the statementMT¯ bisect LH¯is true.

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