Question

Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q'R'S'T'?

A) Q' (4, 4), R' (-4, 4), S' (-4, -4), T' (4, -4)

B) Q' (-1, 1), R' (1, 1), S' (1, -1), T' (-1, -1)

C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)

D) Q' (-3, 3), R' (3, 3), S' (3, -3), T' (-3, -3)​

Answer 1

C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)

Explanation:

Original:

Q = (-2, 2)

R = (2, 2)

S = (2, -2)

T = (-2, -2)

After multiplying each coordinate by 2:

Q' = (-4, 4)

R' = (4, 4)

S' = (4, -4)

T' = (-4, -4)