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Worksheet: Applying Rotations in the First Quadrant

Q1:

What type of transformation is the following?

  • Atranslation
  • Breflection
  • Crotation

Q2:

Which transformation can turn the letter d into p?

  • Atranslation
  • Breflection
  • Crotation

Q3:

Which transformation can turn the letter Z into N?

  • Atranslation
  • Breflection
  • Crotation

Q4:

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

  • A
  • B
  • C
  • D

Q5:

What single transformation could map one figure to the other?

  • Atranslation
  • Breflection
  • Crotation

Q6:

Describe the transformation of the letter F shown below.

  • A rotation about the point
  • B rotation about the point
  • C rotation about the point
  • D rotation about the point

Q7:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba reflection
  • Ca rotation

Q8:

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?

  • A translation
  • B reflection
  • C rotation

Q9:

Where does a rotation through about send the segment ?

  • A
  • B
  • C
  • D

Q10:

Where does a rotation through about send the segment ?

  • A
  • B
  • C
  • D

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:

The triangle has been transformed onto triangle which has then been transformed onto triangle .

Describe the single transformation that maps onto .

  • Aa dilation from the point by a scale factor of 3
  • Ba dilation from the point by a scale factor of 2
  • Ca rotation of clockwise about the point
  • Da dilation from the point by a scale factor of 3
  • Ea rotation of about the point

Describe the single transformation that maps onto .

  • Aa rotation of about the point
  • Ba rotation of clockwise about the point
  • Ca rotation of about the point
  • Da rotation of about the point
  • Ea rotation of counterclockwise about the point

Hence, are triangles and similar?

  • Ano
  • Byes

Q14:

Find the new positions of the given triangle’s vertices after rotating it counterclockwise about .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q15:

Find the new positions of the given triangle’s vertices after rotating it counterclockwise about .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q16:

Find the new positions of the given triangle’s vertices after rotating it counterclockwise about .

  • A , ,
  • B , ,
  • C , ,
  • D , ,
  • E , ,

Q17:

Find the new positions of the given triangle’s vertices after rotating it counterclockwise about .

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q18:

Isabella went on a hike in the woods. The arrow on the compass pointed northeast. After Isabella made a turn on the trail, the compass pointed southeast. Describe the arrow’s transformation.

  • Arotation by counterclockwise
  • Brotation by counterclockwise
  • Crotation by counterclockwise
  • Drotation by clockwise
  • Erotation by clockwise

Q19:

Sophia went on a hike in the woods. The arrow on the compass pointed northeast. When Sophia made a turn on the trail, the compass pointed northwest. Describe the arrow’s transformation.

  • A rotation by clockwise
  • B rotation by clockwise
  • Crotation by counterclockwise
  • D rotation by counterclockwise
  • Erotation by clockwise

Q20:

Jennifer went on a hike in the woods. The arrow on the compass pointed southwest. When Jennifer made a turn on the trail, the compass pointed northwest. Describe the arrow’s transformation.

  • Arotation by counterclockwise
  • Brotation by counterclockwise
  • Crotation by counterclockwise
  • Drotation by clockwise
  • Erotation by clockwise