Q14. - Geometry

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. 

 

$\overline{KT}$ is the same as $\overline{KM}$.

Step-by-Step Solution

Answer

The statement “$\overline{KT}$ is same as $\overline{KM}$” is false.

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the segment.

A segment is a part of the line connecting two points. Since a segment has both the end fixed, thus a segment has two endpoints. 

Step 3. Step description.

Here $\overline{KT}$ represents the segment with two endpoints $K$ and  $T$ and on the other side $\overline{KM}$ represents the segment with two endpoints $K$ and $M$.

 

Since both, segments have different endpoints and also $\overline{KT}$ are longer segments than $\overline{KM}$ thus, they are not the same.

 

 

Therefore, the statement “$\overline{KT}$ is same as $\overline{KM}$” is false.