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

Two polygons are drawn on a coordinate grid. Polygon PQRST has vertices at P 0 and negative 3, Q 3 and negative 2, R 3 and 1, S 0 and 2, T negative 2 and 0. Polygon P prime Q prime R prime S prime T prime has vertices at P prime 0 and negative 9, Q prime 9 and negative 6, R prime 9 and 3, S prime 0 and 6, and T prime negative 6 and 0.

Question

Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation:

Two polygons are drawn on a coordinate grid. Polygon PQRST has vertices at P 0 and negative 3, Q 3 and negative 2, R 3 and 1, S 0 and 2, T negative 2 and 0. Polygon P prime Q prime R prime S prime T prime has vertices at P prime 0 and negative 9, Q prime 9 and negative 6, R prime 9 and 3, S prime 0 and 6, and T prime negative 6 and 0.

anonymous · Answer

Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct?

 The lengths of side RQ and side R'Q' are in the ratio 1:3.
 The length of diagonal RT is equal to the length of diagonal R'T'.
 The measures of angle S and angle S' are in the ratio 1:3.
 The length of side PQ is equal to the length of side P'Q'.