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triangle xyz was translated up 2 and right 3 units, creating triangle c…

Question

triangle xyz was translated up 2 and right 3 units, creating triangle cab. which relationship between the parts of the two triangles must be true? ∠z≅∠c, yz¯≅ab¯, ∠x≅∠a, zx¯≅ca¯

Explanation:

Step1: Translation preserves congruence

Translation is a rigid transformation, so corresponding sides/angles of XYZ and CAB are congruent.

Step2: Identify corresponding sides

Assuming X→C, Y→A, Z→B: YZ (XYZ) corresponds to AB (CAB).

Answer:

YZ ≅ AB