Chapter 4.7, Problem 10CE

a)

To determine

To find: the conclusion from the given additional statements.

Answer to Problem 10CE

Point $P$ is equidistant from each side of $\angle N$ .

Explanation of Solution

Given information:

Given statements,

$P$ lies on $\overrightarrow{NO}$

Calculation:

Consider that, $\overrightarrow{NO}$ bisects $\angle N$ .

Consider the following statement:

$P$ lies on $\overrightarrow{NO}$ .

It is conclude that,

if $P$ lies on $\overrightarrow{NO}$ , then point $P$ is equidistant from each side of $\angle N$ .

b)

To determine

To find: the conclusion from the given additional statements.

Answer to Problem 10CE

The point $Q$ is equidistant from both sides of $\angle N$ , then this point $Q$ lies on the angle bisector of $\angle N$ .

Explanation of Solution

Given information:

Given statements,

The distance from a point $Q$ to each side of $\angle N$ is 13.

Calculation:

The distance from a point $Q$ to each side of $\angle N$ is 13.

Since the point $Q$ is equidistant from both sides of $\angle N$ , then this point $Q$ lies on the angle bisector of $\angle N$ .