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question 10 of 10 based only on the information given in the diagram, i…

Question

question 10 of 10
based only on the information given in the diagram, it is guaranteed that
△abc ~ △xyz
a. true
b. false

Explanation:

Step1: Recall the AA (Angle - Angle) similarity criterion

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Step2: Analyze the given triangles

In \(\triangle ABC\) and \(\triangle XYZ\), \(\angle A=\angle X = 47^{\circ}\) and \(\angle C=\angle Z=90^{\circ}\) (right - angle).

Answer:

A. True