Question

Angle ABC is rotated 90 degrees counterclockwise about the origin to form angle A’B’C’. Which statement shows the measure of angle A’B’C’?
m∠A’B’C’ = 90 degrees


m∠A’B’C’ = 180 degrees


m∠A’B’C’ = m∠ABC


m∠A’B’C’ = 2 × m∠ABC

Answer 1

Answer:

m∠A’B’C’ = m∠ABC

Step-by-step explanation:

Given : Angle ABC is rotated 90 degrees counterclockwise about the origin to form angle A’B’C’.  

To Find: Which statement shows the measure of angle A’B’C’?

Solution:

We are given that Angle ABC is rotated 90 degrees counterclockwise about the origin to form angle A’B’C’.  

Rotation takes place here.

Rotation does not changes the measure of angle  

So, the measure of angle will remain same  

m∠A’B’C’ = m∠ABC

So, Option C is true .

Hence The statement shows the measure of angle A’B’C is m∠A’B’C’ = m∠ABC

Answer 2

Your third option would be correct. Rotations do NOT change angle measures