The coordinates of the vertices of a quadrilateral are P (2, 4), Q (4, 8), R (−2, 6), and S (−4, 2). Quadrilateral PQRS is dilated by a scale factor of 1.5 with the origin as the center of dilation to create quadrilateral P′Q′R′S′. Then quad Then quadrilateral P′Q′R′S′ is dilated by a scale factor of with the origin as the center of dilation to create quadrilateral P′′Q′′R′′S′′. Which statement is true?
A The coordinates of the vertices of quadrilateral P′′Q′′R′′S′′ are each 1/2 the corresponding coordinates of the vertices of quadrilateral PQRS.
B. The coordinates of the vertices of quadrilateral P′′Q′′R′′S′′ are each 1.5 times the corresponding coordinates of the vertices of quadrilateral PQRS.
C. The coordinates of the vertices of quadrilateral P′′Q′′R′′S′′ are each 1/3 the corresponding coordinates of the vertices of quadrilateral PQRS.
D. The coordinates of the vertices of quadrilateral P′′Q′′R′′S′′ are each 4.5 times the corresponding coordinates of the vertices of quadrilateral PQRS.
