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6. jefferson wrote the 2 - column proof below. what statement is missin…

Question

  1. jefferson wrote the 2 - column proof below. what statement is missing? statements ab≅yx reasons given ∠c≅∠z given △abc≅△yxl aas congruence postulate ac = yz xz≅bc ∠a≅∠y ∠x≅∠b

Explanation:

Step1: Recall triangle - congruence criteria

We know that for AAS (Angle - Angle - Side) congruence, two angles and a non - included side of one triangle are congruent to the corresponding two angles and non - included side of another triangle.

Step2: Analyze given information

We are given $\angle C\cong\angle Z$, $\overline{AB}\cong\overline{YX}$, and we need one more angle. Since the non - included side is already given as congruent, we need the other non - given angle to be congruent. That is $\angle A\cong\angle Y$.

Answer:

$\angle A\cong\angle Y$