Question

name the property illustrated by the statement.

1. $overline{cd} \cong \overline{cd}$
2. if $\angle q \cong \angle v$, then $\angle v \cong \angle q$.

Explanation:

Problem 2:

Step1: Recall congruence properties

The statement is \(\overline{CD} \cong \overline{CD}\), which means a segment is congruent to itself.

Step2: Identify the property

This is the Reflexive Property of Congruence, which states that any geometric figure is congruent to itself.

Step1: Recall congruence properties

The statement says if \(\angle Q \cong \angle V\), then \(\angle V \cong \angle Q\), which shows the order of the congruent angles can be reversed.

Step2: Identify the property

This is the Symmetric Property of Congruence, which states that if one figure is congruent to a second, then the second is congruent to the first.

Answer:

Reflexive Property of Congruence

Problem 3: