Question

A rectangle has vertices A(6, 4), B(2, 4), C(6, -2), D(2, -2).

What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 2?

A'(9, 6), B'(3, 6), C'(9, -3), D'(3, -3)

A'(3, 2). B'(1, 2), C'(3, -1), D'(1, -1)

A' (12, 8), B'(4, 8), C'(12, -4), D'(4, -4)

Answer 1

A' (12, 8), B'(4, 8), C'(12, -4), D'(4, -4)

Explanation:

Since the dilation is in the center, we just need to multiply everything by our scale factor, 2.

A (6,4) → (12, 8)

B (2,4) → (4, 8)

C (6, -2) → (12, -4)

D (2, -2) → (4, -4)

Hope this helps!