Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: △aqc≅△cra prove: ∠q≅∠r

Explanation:

Step1: Recall congruent - triangle property

If two triangles $\triangle AQC\cong\triangle CRA$, then their corresponding parts are congruent.

Step2: Identify corresponding angles

$\angle Q$ in $\triangle AQC$ and $\angle R$ in $\triangle CRA$ are corresponding angles.

Step3: Apply CPCTC

By the Corresponding - Parts of Congruent Triangles are Congruent (CPCTC) property, since $\triangle AQC\cong\triangle CRA$, we can conclude that $\angle Q\cong\angle R$.

Answer:

The definition of congruent triangles (Corresponding - Parts of Congruent Triangles are Congruent - CPCTC).