Question

DP 2.6 Similar Polygons

Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?
41∘
82∘
180∘
164∘

What characteristics are needed to determine that two polygons are similar?



The quadrilateral PQRS in the diagram is a parallelogram. Which of the following statements would be true if P′Q′R′S′ is the image of PQRS after applying a dilation centered at a point O with scale factor 3?
P′Q′=PQ
P′Q′=3PQ
PQ=3P′Q′
Cannot be determined from the information given

Answer 1

A. Because changing the size of a polygon doesn't change its angles, it would stay at 82°.

B. The characteristics needed to prove they are similar are just their angles.

C. The scale factor is 3, so P'Q'=3PQ.