Find the new triangle that undergoes a scale factor of 1/2

Question

and a center of dilation at the origin
a -7 , -4 b -3, 8 c 10 - 6

Answer 1

To find the new triangle after the scale factor of 1/2 and center of dilation at the origin, we multiply the coordinates of each point by the scale factor.

Coordinates of point A: (-7, -4)
New coordinates of point A: (-7 * 1/2, -4 * 1/2) = (-3.5, -2)

Coordinates of point B: (-3, 8)
New coordinates of point B: (-3 * 1/2, 8 * 1/2) = (-1.5, 4)

Coordinates of point C: (10, -6)
New coordinates of point C: (10 * 1/2, -6 * 1/2) = (5, -3)

So, the new triangle has the following coordinates:
A': (-3.5, -2)
B': (-1.5, 4)
C': (5, -3)