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

Question

and a center point of dilation at the origin.(2 points)
A′= (
)
B′= (
)
C′= (
)

Answer 1

To find the coordinates of the new points after dilation, we need to multiply the x and y coordinates of each point by the scale factor.

A' = (-2 * 3, -2 * 3) = (-6, -6)
B' = (-4 * 3, -3 * 3) = (-12, -9)
C' = (-2 * 3, -5 * 3) = (-6, -15)

So the coordinates of A', B', and C' after the dilation are:
A′ = (-6, -6)
B′ = (-12, -9)
C′ = (-6, -15)