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 length of side p't'.
the measures of angle s and angle s' are in the ratio 1: 3.

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

Step-by-step explanation:

Comparing the coordinates of the vertices,

P(0, -3)→P'(0, -9); Q(3, -2)→Q'(9, -6); R(3, 1)→R'(9, 3); S(0, 2)→S'(0, 6); T(-2, 0)→T'(-6, 0)

We can see that the pre-image points have been multiplied by a scale factor of 3.  This means comparing the pre-image sides to the image sides, the ratio is 1:3.  However, we must compare corresponding sides; the only choice comparing corresponding sides with a ratio of 1:3 is PS to P'S'.

step-by-step explanation:

not sure about this one man

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