triangle ABC has vertices point A (-2, -2), point B (-4, -3), and point C (-2, -5). Find the coordinates if 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 the points after a dilation with a scale factor of 3 and a center point at the origin, we can apply the following formula:

A' = 3 * A
B' = 3 * B
C' = 3 * C

Where A, B, and C are the original coordinates of points A, B, and C.

First, let's calculate the coordinates of A' (-2, -2) after dilation:

A' = 3 * (-2, -2)
A' = (-6, -6)

Next, let's calculate the coordinates of B' (-4, -3) after dilation:

B' = 3 * (-4, -3)
B' = (-12, -9)

Finally, let's calculate the coordinates of C' (-2, -5) after dilation:

C' = 3 * (-2, -5)
C' = (-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)