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 $\overrightarrow{KM}$.

Short answer

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

Step-by-step solution

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.