what are the vertex points help please!!!!?

Question

Quadrilateral PQRS is dilated with a scale factor of 0.5.
The vertex points of the preimage are P(2, 5), Q(5, 4), R(4, 1) and S(0, 0). What are the vertex points of the image?

P’(5, 2), Q’(4, 5), R’(1, 4), S’(0, 0)

P’(1, 2.5), Q’(2.5, 2), R’(2, 0.5), S’(0, 0)

P’(4, 10), Q’(10, 8), R’(8, 2), S’(0, 0)

P’(2, 2.5), Q’(5, 2), R’(2, 1), S’(0,

Answer 1

A dilation requires TWO things, a scale factor and a CENTER OF DILATION, which you don't mention. I assume from the presence of S'(0,0) in each list of answers that the origin is the center of dilation. Then the scale factor just lets you cut all the coordinates in half, which makes the 2nd answer the right one.