Chapter 1.3, Problem 11WE

To determine

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

“ $\overleftrightarrow{LH}$ is same as $\overline{HL}$ ”

Answer to Problem 11WE

False

Explanation of Solution

Given:

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

The symbol $\overline{HL}$ represents a segment. It consists of end points H and L and also all the points between H and L .

The symbol $\overleftrightarrow{LH}$ represents a line. It is extended infinitely on both sides.

The segment $\overline{HL}$ is a part of the line $\overleftrightarrow{LH}$ .

So, it is wrong to say that $\overleftrightarrow{LH}$ is same as

  $\overline{HL}$ .

So, the given statement is false.