Triangle ABC has coordinates A(-1, 2) B(4, 5) and C(-6, -9). If the triangle is dilated by a scale factor of 5, what would be the coordinates of C’?

Answer 1

Scale factor tells how much the figure is being dilated by. If the scale factor is 1, then the image would not change size. However if it is <1 it would get smaller and if it is >1 it would get bigger.

The scale factor is 5, so the new figure would be bigger.

c’ insinuates we want to know what the coordinate is of vertex C after the dilation.

ALWAYS multiply the scale factor by the coordinates to find the new location.

c=( -6,-9) c’= (5(-6), 5(-9)) or (-30,-45)