Question

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 the dilation at the origin

Answer 1

To find the coordinates of points A, B, and C after the dilation, we simply need to multiply the original coordinates by the scale factor.

Coordinates of A after dilation:
x-coordinate: -2 * 3 = -6
y-coordinate: -2 * 3 = -6
So, point A' after dilation is (-6, -6).

Coordinates of B after dilation:
x-coordinate: -4 * 3 = -12
y-coordinate: -3 * 3 = -9
So, point B' after dilation is (-12, -9).

Coordinates of C after dilation:
x-coordinate: -2 * 3 = -6
y-coordinate: -5 * 3 = -15
So, point C' after dilation is (-6, -15).

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