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Q6

Expert-verified
Geometry
Found in: Page 15
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Illustration

Short Answer

In the following diagram HL and role="math" localid="1637753977355" KT intersect at the midpoint of HL. Classify the following statement as true or false.

KM must equal to MT.

The statement “KM must equal to MT ” is false.

See the step by step solution

Step by Step Solution

Step 1. Check the figure.

Consider the figure.

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 LMMH implies that the length of the line segment role="math" localid="1637754449037" LM is equal to the length of the line segment role="math" localid="1637754557956" MH such that LM=MH.

Step 3. Step description.

As HL and KT intersect at the midpoint of HL and that intersection point is M, thus M is the midpoint of HL but this does not imply that KM must equal to MT.

Therefore, the statement “KM must equal to MT ” is false.

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