Q12. - 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. 

 

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

Step-by-Step Solution

Answer

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

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of rays.

A ray is a part of a line and can be extended infinitely in one direction. Since a ray has 1 end fixed, thus a ray has one endpoint. 

Step 3. Step description.

Here $\overrightarrow{KT}$ and $\overrightarrow{KM}$ both represent rays with the common starting point $K$.

 

Since both the rays have the same common point thus, they can be extended infinitely in the same direction. Therefore, both the rays are the same.

 

 

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