Question

Polygon PQRST shown below is dilated with a scale factor of 3, keeping origin as the center of dilation.

Answer 1

Which statement about Polygon PQRST and its image after dilation, Polygon P'Q'R'S'T', is correct?

Answer 2

Select one:
a. The length of side PT is equal to the length of side P'T'.
b. The measure of angle T is equal to the measure of angle T'.
c. The length of diagonal RT is equal to the length of diagonal R'T'.
d. The measures of angle P and angle P' are in the ratio 1:3.

Answer 3

@Directrix @ganeshie8

Answer 4

@Edge The sides of the larger polygon are three times the sides of the smaller one.

Answer 5

So, something like this: a. The length of side PT is equal to the length of side P'T'.
CANNOT be true.

Answer 6

This cannot be true -->c. The length of diagonal RT is equal to the length of diagonal R'T'. for the same reason as above.

Answer 7

d. The measures of angle P and angle P' are in the ratio 1:3.
cannot be true because of the definition of similar triangles.

Answer 8

b. The measure of angle T is equal to the measure of angle T'.