Chapter 12, Problem 10CR

To determine

To complete: The given statement.

Answer to Problem 10CR

The complete statement is “If $\overline{QP}\cong \overline{QR}$ , then $\angle P\cong \angle PRQ$ .”

Explanation of Solution

Given:

The given figure is as follows.

  

The statement is “if $\overline{QP}\cong \overline{QR}$ , then $\angle \_\_\cong \angle \_\_$ .”

Calculation:

By the Base Angle theorem,

If two sides of a triangle are congruent, then the angles opposite to them are congruent. So,

If $\overline{QP}\cong \overline{QR}$ , then $\angle P\cong \angle PRQ$ .

Therefore, the complete statement is “If $\overline{QP}\cong \overline{QR}$ , then $\angle P\cong \angle PRQ$ .”