Chapter 1.3, Problem 7WE

To determine

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

“ $\overline{MT}$ bisects $\overline{LH}$ ”

Answer to Problem 7WE

True

Explanation of Solution

Given:

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

It is given that $\overline{LH}$ and $\overleftrightarrow{KT}$ intersects at the midpoint of $\overline{HL}$ and that intersection point is M . So, it implies that $\overleftrightarrow{KT}$ bisects $\overline{LH}$ . Now, $\overline{MT}$ is also a part of $\overleftrightarrow{KT}$ and its one end point is the mid-point of $\overline{LH}$ , so it can be said that $\overline{MT}$ bisects $\overline{LH}$ .

So, the given statement is true.