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. (& points)
To perform a dilation with a scale factor of 3 and a center point of dilation at the origin, multiply the coordinates of each point by the scale factor.
For point A:
x-coordinate after dilation: -2 * 3 = -6
y-coordinate after dilation: -2 * 3 = -6
So A' is (-6, -6).
For point B:
x-coordinate after dilation: -4 * 3 = -12
y-coordinate after dilation: -3 * 3 = -9
So B' is (-12, -9).
For point C:
x-coordinate after dilation: -2 * 3 = -6
y-coordinate after dilation: -5 * 3 = -15
So C' is (-6, -15).
Therefore, the coordinates of the points A, B, and C' after the dilation are:
A' (-6, -6)
B' (-12, -9)
C' (-6, -15)