Question

polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the origin as the center of dilation: ​

Answer 1

D- The lengths of side SR and side S'R' are in the ratio 1:3.

Explanation:

I took the test and it was right

Answer 2

Answer: d) SR and S'R' have the ratio 1:3

Explanation:

In order for the polygons to be similar, they must have congruent angles and proportional side lengths.

a) ∠Q and ∠Q' have the ratio 1:3

FALSE - The angles must be congruent (not proportional)

b) TS and T'S' have equal lengths

FALSE - We can see that there is a dilation so they cannot be congruent.

c) RT and R'T' have equal lengths

FALSE - We can see that there is a dilation so they cannot be congruent.

d) SR and S'R' have a ratio of 1:3

TRUE! - The sides are proportional so we can use this to prove similarity.