Question

Give the appropriate theorem or postulate that can

be used to prove the triangles similar:

A. AA Postulate
B. ASA Postulate
C. SSS Postulate
D. SAS Postulate

Answer 1

Explanation:

<ACB = <ECD

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.