Chapter 1.3, Problem 6WE

To determine

To verify: if the given statement is true or false.

“ $KM$ must equal to $MT$ ”

Answer to Problem 6WE

False

Explanation of Solution

Given:

In the figure below $\overline{HL}$ and $\overleftrightarrow{KT}$ intersect at the midpoint of $\overline{HL}$ .

It is not necessary that $KM$ is equal to $MT$ .

As it is given that $\overline{HL}$ and $\overleftrightarrow{KT}$ intersects at the midpoint of $\overline{HL}$ and that intersection point is M . So, it only implies that $LM=MH$ , nothing can be said certainly about $KM$ and $MT$ .

So, the given statement is false.