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Worksheet: Geometric Transformations of Figures

Q1:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q2:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba reflection
  • Ca translation

Q3:

What kind of transformation has been applied?

  • Areflection
  • Btranslation
  • Crotation

Q4:

What kind of transformation has been applied?

  • Arotation
  • Breflection
  • Ctranslation

Q5:

What kind of transformation has been applied?

  • Arotation
  • Btranslation
  • Creflection

Q6:

What type of geometrical transformation has been applied to the quadrilateral 𝐴 𝐡 𝐢 𝐷 ?

  • Arotation
  • Breflection
  • Crotation and reflection
  • Dtranslation

Q7:

Which type of transformation is shown?

  • A rotation or translation
  • B reflection or rotation
  • C translation
  • D reflection
  • E reflection, rotation, or translation

Q8:

βƒ–     βƒ— 𝐴 𝐡 has been dilated from the center 𝐢 .

What do you notice about the distance from the point 𝐢 to βƒ–     βƒ— 𝐴 𝐡 and the distance from the point 𝐢 to the image?

  • AThe distance from 𝐢 to the image is twice the distance from 𝐢 to βƒ–     βƒ— 𝐴 𝐡 .
  • BThe distance from 𝐢 to the image is three times the distance from 𝐢 to βƒ–     βƒ— 𝐴 𝐡 .
  • CThe distance from 𝐢 to the image is half the distance from 𝐢 to βƒ–     βƒ— 𝐴 𝐡 .
  • DThe distance from 𝐢 to the image is four times the distance from 𝐢 to βƒ–     βƒ— 𝐴 𝐡 .
  • EThe distance from 𝐢 to the image is the same as the distance from 𝐢 to βƒ–     βƒ— 𝐴 𝐡 .

Hence, what is the scale factor of the dilation?

Q9:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q10:

Which type of transformation is shown?

  • A rotation or translation
  • B reflection or translation
  • C translation
  • D reflection
  • E reflection, rotation, or translation

Q11:

James saw the following sign. Is the second 𝐸 a translation, reflection, or rotation of the first 𝐸 ?

  • Aa translation
  • Ba reflection
  • Ca rotation

Q12:

Determine whether the following transformation is a translation, reflection, or rotation.

  • A translation
  • B reflection
  • C rotation

Q13:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba reflection
  • Ca rotation

Q14:

Determine whether the following transformation is a translation, reflection, or rotation.

  • A translation
  • B reflection
  • C rotation

Q15:

Determine whether the following transformation is a translation, reflection, or rotation.

  • A translation
  • B reflection
  • C rotation

Q16:

A triangle has vertices at the points 𝐴 ( 1 , 1 ) , 𝐡 ( 3 , 1 ) , and 𝐢 ( 1 , 3 ) . The image of this triangle under a transformation has vertices at the points 𝐴 β€² ( βˆ’ 1 , βˆ’ 1 ) , 𝐡 β€² ( βˆ’ 1 , βˆ’ 3 ) , and 𝐢 β€² ( βˆ’ 3 , βˆ’ 1 ) . Which transformation has taken place?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q17:

A transformation is applied to the triangle with vertices 𝐴 ( π‘₯ , 𝑦 ) , 𝐡 ( π‘₯ , 𝑦 + 2 ) , 𝐢 ( π‘₯ + 2 , 𝑦 ) . The image has vertices 𝐴 β€² ( βˆ’ π‘₯ , βˆ’ 𝑦 ) , 𝐡 β€² ( βˆ’ π‘₯ , βˆ’ 𝑦 βˆ’ 2 ) , 𝐢 β€² ( βˆ’ π‘₯ βˆ’ 2 , βˆ’ 𝑦 ) . Which of the following transformations has taken place?

  • Atranslation
  • Breflection
  • Crotation

Q18:

The vertices of a triangle are mapped using the function ( π‘₯ , 𝑦 ) β†’ ( π‘₯ , βˆ’ 𝑦 ) . Which of the following single transformations has taken place?

  • Arotation
  • Btranslation
  • Chorizontal stretching
  • Dreflection

Q19:

A figure is mapped two units to the left and three units down. Which of the transformations has been used?

  • Aa reflection
  • Ba rotation
  • Ca translation

Q20:

Which of the following transformations could be used to map 𝐴 to 𝐷 ?

  • Arotation
  • Btranslation
  • Creflection
  • Ddilation
  • Ehorizontal stretching

Q21:

A transformation affects points on the π‘₯ 𝑦 -plane such that each point is mapped three units right and eight units down. Which transformation is this?

  • Aa reflection
  • Ba rotation
  • Ca translation

Q22:

If the parallelogram 𝐴 𝐡 𝐢 𝐷 is transformed to 𝐴 β€² 𝐡 β€² 𝐢 β€² 𝐷 β€² as shown in the figure, determine whether this transformation is a translation, reflection, or rotation.

  • A a rotation
  • B a reflection
  • C a translation

Q23:

Matthew drew a triangle on a graph by using the points ( 2 , 7 ) , ( 6 , 3 ) , and ( 6 , 1 1 ) . He then flipped the triangle across the line that runs from ( 6 , 3 ) to ( 6 , 1 1 ) . What type of transformation did he perform? Where is the third vertex of the graph located now?

  • A translation, ( 1 0 , 7 )
  • B translation, ( 2 , 7 )
  • C reflection, ( 2 , 7 )
  • D reflection, ( 1 0 , 7 )

Q24:

Determine whether the following transformation is a translation, reflection, or rotation.

  • A a rotation
  • B a reflection
  • C a translation

Q25:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba translation
  • Ca reflection