Question

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

Two polygons are drawn on a coordinate grid. Polygon PQRST has vertices at P(0, -3), Q(3, -2), R(3, 1), S(0, 2), and T(-2, 0). Polygon P’Q’R’S’T’ has vertices at P’(0, -9), Q(9, -6), R(9, 3), S(0, 6), and T(-6, 0).

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

The length of diagonal PS and diagonal P’S’ are in the ratio 1:3.

The lengths of side PT and side R’Q’ are in the ratio 1:3.

The length of side PT is equal to the le

Answer 1

The length of diagonal PS and diagonal P’S’ are in the ratio 1:3.

The lengths of side PT and side R’Q’ are in the ratio 1:3.

The length of side PT is equal to the length of side P’T’.

The measures of angle S and angle S’ are in the ratio 1:3.

Answer 2

Let's start from choice A.
What is the length of segment PS?

Answer 3

3 ?

Answer 4

Yes.
Now look at the graph and find P'S'. How long is that segment?

Answer 5

I Cant Tell

Answer 6

Count squares. I did.

Answer 7

5 ?

Answer 8

Wait.
Segment PS is 5 units long, not 3.

Now for segment P'S':
Where is point P'? At y = -9. You need to go up 9 units to get to y = 0. then you need to go another 6 units up till you get to y = 6. How many units is point p" from point S'?

Answer 9

This is where points P, S, P', and S' are located, ok?