Question

20 given the information below, what other information is needed to prove the triangles congruent using the asa congruence postulate? given △weg and △grp given ∠w ≅ ∠g given ∠e ≅ ∠r

Explanation:

Step1: Recall ASA congruence postulate

The ASA (Angle - Side - Angle) congruence postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze given information

We are given that $\angle E\cong\angle R$ and $\angle W\cong\angle G$. The included side between $\angle E$ and $\angle W$ in $\triangle WEG$ and the included side between $\angle R$ and $\angle G$ in $\triangle GRP$ need to be congruent.

Step3: Determine the needed side

The included side between $\angle E$ and $\angle W$ in $\triangle WEG$ is $WE$, and the included side between $\angle R$ and $\angle G$ in $\triangle GRP$ is $GR$. So we need $WE\cong GR$.

Answer:

WE ≅ GR