Question

In the following diagram $\overline{HL}$and $\overleftrightarrow{KT}$intersect at the midpoint of $\overline{HL}$. Classify the following statement as true or false.

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

Short answer

The statement “$\overrightarrow{LH}$is same as $\overline{HL}$”is false.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of segment and line.

A segment is a part of the line that is bounded by two endpoints. Thus, a segment has 2 endpoints.

A line goes on infinitely in both the direction. A line has no endpoints.

Step 3. Step description.

Here $\overline{HL}$represents a segment. Thus $\overline{HL}$have two endpoints $H$and $L$and all the points between these two points and $\overleftrightarrow{LH}$ represent a line and it is extended infinitely on both sides.

Since $\overline{HL}$is a part of$\overleftrightarrow{LH}$ thus, they are not the same.

Therefore, the statement “$\overleftrightarrow{LH}$ is same as $\overline{HL}$” is false.