Question

angle A'B'C' is taken by a dilation with center P and scale factor 13 to angle ABC. The measure of angle ABC is 21 what is the measure of angle A'B'C'?

Answer 1

Given:

Scale factor = 13

Measure of angle ABC = 21 degrees

Let's find the measure of angle A'B'C'.

Dilated figures are similar figures.

When figures are similar the corresponding sides will be in proportion while the correponding angles will be equal.

Thus, we have:

m∠ABC = m∠A'B'C'

Since the measure of angle ABC is 21 degrees, the measure of angle A'B'C' will aslo be 21 degrees.

ANSWER:

Measure of angle A'B'C' = 21 degrees