Question

Classify each statement as true or false. If it is false, provide a counter example.

If $\text{m}\angle \text{RUN}=\text{m}\angle \text{SUN}$, then $\overrightarrow{\text{UN}}$is the bisector of $\text{m}\angle \text{RUS}$.

Short answer

The statement is True.

Step-by-step solution

Step 1. State the definition of bisector.

In geometry, the line that divides something into two equal or congruent parts is called a bisector.

Step 2. State the explanation.

Consider the figure illustrating given data.

In the above diagram $\overrightarrow{UN}$ divides the $\angle RUS$ into two equal parts.

Step 3. State the conclusion.

Therefore, the statement True.