# Worksheet: Rotations about a Point

In this worksheet, we will practice identifying the rotation of a shape about a point and deducing the image of a polygon after rotating about one of its vertices.

**Q4: **

Isabella went on a hike in the woods. She was walking northeast along a trail. When she got to a fork in the trail, she started walking southeast. Fully describe the rotation she made at the fork in the trail.

- ARotation by anticlockwise
- BRotation by clockwise
- CRotation by anticlockwise
- DRotation by clockwise
- ERotation by anticlockwise

**Q5: **

Sophia went on a hike in the woods. She was walking northeast along a trail. When she got to a fork in the trail, she started walking northwest. Fully describe the rotation she made at the fork in the trail.

- ARotation by counterclockwise
- BRotation by clockwise
- CRotation by clockwise
- DRotation by clockwise
- ERotation by counterclockwise

**Q6: **

Jennifer went on a hike in the woods. She was walking southwest along a trail. When she got to a fork in the trail, she started walking northwest. Fully describe the rotation she made at the fork in the trail.

- ARotation by counterclockwise
- BRotation by clockwise
- CRotation by clockwise
- DRotation by counterclockwise
- ERotation by counterclockwise

**Q14: **

What type of transformation is the following?

- Areflection
- Btranslation
- Crotation

**Q15: **

Which transformation can turn the letter d into p?

- Atranslation
- Brotation
- Creflection

**Q16: **

Which transformation can turn the letter Z into N?

- Areflection
- Btranslation
- Crotation

**Q18: **

The figure shows a regular polygon. Where is the point moved to after a rotation through ?

- A
- B
- C
- D

**Q19: **

Find all capital letters in WISCONSIN that look the same after being rotated .

- AI, C, O, and N
- BW and C
- CI, S, and O
- DI, S, C, O, and N
- EI, S, O, and N

**Q21: **

What is the image of after a rotation?

- A
- B
- C
- D

**Q22: **

In the figure, a rotation through about maps onto . If , find the area of to the nearest hundredth.