Question

Which statement accurately explains whether a reflection over the Y axis and a 270° counterclockwise rotation would map figure ACB onto itself?

Answer 1

Neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.

Step-by-step explanation:

To determine whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself, we need to analyze the effects of these transformations.

• A reflection over the y-axis would change the x-coordinates of the points, but not the y-coordinates. So, figure ACB would not be mapped onto itself after a reflection over the y-axis.
• A 270° counterclockwise rotation would change the position of the points by rotating them around the origin. After a 270° counterclockwise rotation, figure ACB would not be mapped onto itself as the shape and position of the points would change.

Therefore, neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.

Answer 2

C is the answer. It’s really long to explain I used some points to do it.

When you reflect point C over (3,4) -> (-3,4) rotate 270 counter clockwise (-3,4) -> (4,3)