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:

Which statement about corresponding sides and angles of the two polygons is correct?
Select one:
a. The measures of angle Q and angle Q' are in the ratio 1:3.
b. The length of side TS is equal to the length of side T'S'.
c. The length of diagonal RT is equal to the length of diagonal R'T'.
d. The lengths of side SR and side S'R' are in the ratio 1:3.

Answer 1

What is the distance from R to Q?

Answer 2

3?

Answer 3

@jim_thompson5910

Answer 4

yes

Answer 5

What is the distance from R' to Q'?

Answer 6

9?

Answer 7

yes

Answer 8

so the ratio of the corresponding sides is 3:9 which reduces to 1:3

Answer 9

that's why the answer is `The lengths of side SR and side S'R' are in the ratio 1:3.`

SR and S'R' are also corresponding segments
S'R' is 3 times longer than SR

Answer 10

Thanks so much!! :-)

Answer 11

QR was picked on because it was the easiest to find the length of it

Answer 12

no problem