QUESTION IMAGE
Question
which congruence theorem proves △abc ≅ △xyz (1 point) sas theorem aas theorem asa theorem sss theorem
Step1: Identify given information
We see one - side equal (marked on the sides) and two pairs of angles equal (the right - angles and another pair of angles).
Step2: Recall congruence theorems
SAS (Side - Angle - Side) requires two sides and the included angle. AAS (Angle - Angle - Side) requires two angles and a non - included side. ASA (Angle - Side - Angle) requires two angles and the included side. SSS (Side - Side - Side) requires three sides.
Step3: Match with given
We have two angles and a non - included side equal. So it's AAS.
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AAS Theorem