Question

Polygon ABCD with vertices at A (−4, 6), B (−2, 2), C (4, −2), D (4, 4) is dilated using a scale factor of one half to create polygon A′B′C′D′.



Determine the vertices of polygon A′B′C′D′.

Group of answer choices

No answer text provided.

A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)

A′(−0.8, 1.2), B′(−0.4, 0.4), C′(0.8, −0.4), D′(0.8, 0.8)

A′(−2, 3), B′(−1, 1), C′(2, −1), D′(2, 2)

Answer 1

Multiply each vertex coordinate by 1/2 (dilation about the origin):

A' = (-4/2, 6/2) = (-2, 3)
B' = (-2/2, 2/2) = (-1, 1)
C' = (4/2, -2/2) = (2, -1)
D' = (4/2, 4/2) = (2, 2)

So the correct choice is A′(−2, 3), B′(−1, 1), C′(2, −1), D′(2, 2).