Question

The triangle will undergo a scale factor of 2.5 and a center of dilation at the origin. What are the new coordinate points of the Triangle?

the original coordinates are: A -2,-2 B 0,0 C 2,-4

Answer 1

To find the new coordinates of the triangle after a scale factor of 2.5 with a center of dilation at the origin, we need to multiply each coordinate by the scale factor.

The new coordinates of point A after scaling are:
A' = (-2 * 2.5, -2 * 2.5)
A' = (-5, -5)

The new coordinates of point B after scaling are:
B' = (0 * 2.5, 0 * 2.5)
B' = (0, 0)

The new coordinates of point C after scaling are:
C' = (2 * 2.5, -4 * 2.5)
C' = (5, -10)

Therefore, the new coordinates of the triangle are:
A' = (-5, -5)
B' = (0, 0)
C' = (5, -10)