Question

Point

\[A'\] is the image of point
\[A\] under a rotation about point
\[P\].
3 solid points. The bottom, left most point is labeled A prime. The middle point is labeled P. The top, right most point is labeled A.
\[A\]
\[A'\]
\[P\]
3 solid points. The bottom, left most point is labeled A prime. The middle point is labeled P. The top, right most point is labeled A.
Determine the angles of rotation.
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
\[90^\circ\] clockwise
A
\[90^\circ\] clockwise
(Choice B)
\[90^\circ\] counterclockwise
B
\[90^\circ\] counterclockwise
(Choice C)
\[180^\circ\]
C
\[180^\circ\]
(Choice D)
\[270^\circ\] clockwise
D
\[270^\circ\] clockwise
(Choice E)
\[270^\circ\] counterclockwise
E
\[270^\circ\] counterclockwise

Answer 1

The correct answers are:

(Choice B) 90 counterclockwise

(Choice E) 270 counterclockwise

To determine the angle of rotation, we can look at the positions of points

A′ , and P before and after the rotation.

Let's analyze the choices:

(Choice A)

90 clockwise: If A is rotated 90 clockwise about P, it would end up below its original position, which is not the case here.

(Choice B)

90 counterclockwise: If A is rotated 90 counterclockwise about P, it would end up to the left of its original position. This matches the given configuration.

(Choice C)

180 : If A is rotated 180 about P, it would end up on the opposite side of P. This is not the case here.

(Choice D)

270 clockwise: If A is rotated 270 clockwise about P, it would end up to the left of its original position. This is not the case here.

(Choice E)

270 counterclockwise: If A is rotated 270 counterclockwise about P, it would end up below its original position. This matches the given configuration.

Therefore, the correct answers are:

(Choice B) 90 counterclockwise

(Choice E) 270 counterclockwise