Chapter 4.7, Problem 9WE

To determine

To complete: the blank in the given statement.

Answer to Problem 9WE

Angle bisector.

Explanation of Solution

Given information:

The given statement is “If Xis equidistance from $\overline{SK}$ and $\overline{SN}$ , then $X$ is

  $\underset{\_}{}$ ”.

The given figure is as follows:

  

The angle bisector divides the angle in to two equal measures.

The each and every point of angle bisector is equal distance from the sides of the angle.

Consider the given figure,

X is angle bisector of $\angle SKN$ , soX is equidistance from the sides $\overline{SK}$ and $\overline{SN}$ .

Hence,

The blank is filled with termangle bisector.