Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

angle abc is taken by a dilation with center p and scale factor 3 to an…

Question

angle abc is taken by a dilation with center p and scale factor 3 to angle abc. the measure of angle abc is 21°. what is the measure of angle abc? type your answer in the box.

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not the shape. Angles are preserved under dilation.

Step2: Apply the property to the given angles

Since angle \(ABC\) is dilated to angle \(A'B'C'\) and \(\angle ABC = 21^{\circ}\), then \(\angle A'B'C'=\angle ABC\)

Answer:

\(21^{\circ}\)