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$\overrightarrow{TM}$ are opposite rays.

Short answer

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

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 $\overrightarrow{TM}$both are in opposite directions but both the rays do not have a common starting point. Thus, they are not opposite rays.

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