Question

The triangle will be dilated by a scale factor of 1.5.

Center of dilation


(a) calculate the length of each side of the dilated image.

(b) draw the new image and label it a'b'c

Answer 1

Part a) A'B'=15 units, B'C'=12 units, A'C'=21 units

Part b) The graph in the attached figure

Explanation:

Part a) calculate the length of each side of the dilated image

we know that

To calculate the length of each side of the dilated image, multiply the scale factor by the original length

we have

scale factor=1.5

so

A'B'=AB*1.5=10*1.5=15 units

B'C'=BC*1.5=8*1.5=12 units

A'C'=AC*1.5=14*1.5=21 units

Part b) draw the new image and label it a'b'c

The graph in the attached figure