Question

Triangle ABC

has vertices point A (−3,−3) , point B (5,−3) , and point C (2, 4) . Find the coordinates of A′, B′,
and C′ after a dilation with a scale factor of 2 and a center point of dilation at the origin.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of A', B', and C' after a dilation with a scale factor of 2 and a center point of dilation at the origin, we need to multiply the coordinates of each point by the scale factor.

For point A(-3, -3):
A' = (2 * -3, 2 * -3) = (-6, -6)

For point B(5, -3):
B' = (2 * 5, 2 * -3) = (10, -6)

For point C(2, 4):
C' = (2 * 2, 2 * 4) = (4, 8)

So, the coordinates of A', B', and C' after the dilation are A'(-6, -6), B'(10, -6), and C'(4, 8).