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

3
and a center point of dilation at the origin.(2 points)

1 answer

To find the coordinates of a point after dilation, multiply each coordinate by the scale factor.

Coordinates of A' = (scale factor * x-coordinate of A, scale factor * y-coordinate of A)
= (3*(-2), 3*(-2))
= (-6, -6)

Coordinates of B' = (scale factor * x-coordinate of B, scale factor * y-coordinate of B)
= (3*(-4), 3*(-3))
= (-12, -9)

Coordinates of C' = (scale factor * x-coordinate of C, scale factor * y-coordinate of C)
= (3*(-2), 3*(-5))
= (-6, -15)

Therefore, the coordinates of A', B', and C' after the dilation are A'(-6, -6), B'(-12, -9), and C'(-6, -15)