Q10. - 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.

 

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

Step-by-Step Solution

Answer

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

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.