Question 11 of 11 - Geo S5-6_FSQ_OL_FY21

Question: 1

Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown.

с

D

A

B

E

Which postulate or theorem establishes that the triangles are similar?

AA similarity

Step-by-step explanation:

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Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

correct

step-by-step explanation: