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.

$\overrightarrow{MT}$and$\overrightarrow{MK}$ are opposite rays.

Short answer

The statement “$\overrightarrow{MT}$ and$\overrightarrow{MK}$ are opposite rays”is true.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of opposite rays.

Opposite rays are those rays that start from a common point but goes in the opposite directions.

Step 3. Step description.

Here $\overrightarrow{MT}$and $\overrightarrow{MK}$both are in opposite directions and also both the rays have a common starting point . Thus, they are opposite rays.

Therefore, the statement “ $\overrightarrow{MT}$and$\overrightarrow{MK}$ are opposite rays” is true.