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 and a center point of dilation at the origin.

Answer 1

To find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin, we can use the formula for dilation:

For a point (x, y) and a scale factor of k with the origin as the center of dilation, the coordinates after dilation are (kx, ky).

Let's apply this formula to find the coordinates of A', B', and C':

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

Therefore, the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin are:
A'(-6, -6)
B'(-12, -9)
C'(-6, -15)