Q13. - 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.

 

$\overleftrightarrow{KM}$ is the same as $\overleftrightarrow{KM}$.

Step-by-Step Solution

Answer

The statement “$\overleftrightarrow{KT}$ is same as $\overleftrightarrow{KM}$” is true.

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the line.

A line is extended to infinitely in both the direction. Since a line has no end fixed, thus a line has no endpoint. 

Step 3. Step description.

Here $\overleftrightarrow{KT}$ and $\overleftrightarrow{KM}$ both represent lines.

 

As the line is extended infinitely on both sides, so it doesn’t matter which points on the line are used to name it.

 

Therefore, both the lines are the same.

 

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