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.

Q1:

What kind of transformation is shown in the figure? • Aa rotation
• Ba reflection
• Ca translation

Q2:

Find the new positions of the given triangle’s vertices after rotating it counterclockwise about . • A, ,
• B, ,
• C, ,
• D, ,

Q3:

Where does a rotation through about send the segment ? • A
• B
• C
• D

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:

Charlotte 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

Q7:

Elizabeth and her family are camping at the lake. Elizabeth and her sister walk to the jetty on the lake. The last sign reads “JETTY”, but Elizabeth notices the first T is upside down. Is the first T a translation, reflection, or rotation of the second T? • Areflection
• Brotation
• Ctranslation

Q8:

Find the new positions of the given triangle’s vertices after rotating it clockwise about . • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q9:

Find the new positions of the given triangle’s vertices after rotating it clockwise about . • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q10:

Find the new positions of the given triangle’s vertices after rotating it clockwise about . • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q11:

Where does a rotation through about send the segment ? • A
• B
• C
• D

Q12:

Where does a rotation through about send the segment ? • A
• B
• C
• D

Q13:

Where does a rotation through about send the segment ? • A
• B
• C
• D

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

Q17:

Which of the following represents a rotation of the shaded figure?

• A • B • C • D 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

Q20:

is the image of by a counterclockwise rotation of about . Find . 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. 