Question

1. identify the missing information from the 2 - column proof. statements ab ≅ yz ∠b ≅ ∠z △cba ≅ △xzy? reasons given given sas congruence postulate ∠c ≅ ∠x cb ≅ xz ∠a ≅ ∠y cb ≅ zx

Explanation:

Step1: Recall SAS congruence postulate

The SAS (Side - Angle - Side) congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Here, we are given $AB\cong YZ$ and $\angle B\cong\angle Z$ as given statements. For the SAS postulate to hold, we need the side adjacent to the given angles to be congruent.

Step2: Identify the required side - congruence

In $\triangle CBA$ and $\triangle XZY$, the side adjacent to $\angle B$ in $\triangle CBA$ is $CB$, and the side adjacent to $\angle Z$ in $\triangle XZY$ is $ZX$. So we need $CB\cong ZX$.

Answer:

$CB\cong ZX$