Question

Complete each statement.

If$X$ is on the bisector of $\angle SNK$, then$X$ is equidistant from$\underset{¯}{?}$ and $\underset{¯}{?}$.

Short answer

It$X$ is on the bisector of $\angle SNK$, then$X$ is equidistant from$\overline{\mathrm{SN}}$ and $\overline{\mathrm{NK}}$.

Step-by-step solution

Step 1. Write the definition of an angle bisector.

The angle bisector is a ray that divides the angle into two equal angles.

Step 2. Write the theorem 4-7.

The theorem 4-7 states that if a point lies on the angle bisector, then the point is equidistant from the sides of the angle.

Step 3. Write the complete statement.

It$X$ is on the bisector of $\angle SNK$, then$X$ is equidistant from$\overline{SN}$ and $\overline{NK}$.