Worksheet: Geometric Transformations of Figures

In this worksheet, we will practice identifying different geometric transformations.

Q1:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba reflection
  • Ca translation

Q2:

What kind of transformation has been applied?

  • Areflection
  • Btranslation
  • Crotation

Q3:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba translation
  • Ca reflection

Q4:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q5:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba reflection
  • Ca rotation

Q6:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q7:

What type of geometrical transformation has been applied to the quadrilateral 𝐴 𝐵 𝐶 𝐷 ?

  • Arotation
  • Breflection
  • Crotation and reflection
  • Dtranslation

Q8:

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

Q9:

What rotation about 𝑂 will map 𝐴 𝐵 onto 𝐶 𝐷 ?

  • A 3 6
  • B 1 4 4
  • C 3 6
  • D 1 4 4

Q10:

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

  • Aa translation
  • Ba reflection
  • Ca rotation

Q11:

Which type of transformation is shown?

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

Q12:

𝐴 𝐵 has been dilated from the centre 𝐶 .

What do you notice about the distance from the point 𝐶 to 𝐴 𝐵 and the distance from the point 𝐶 to the image?

  • AThe distance from 𝐶 to the image is twice the distance from 𝐶 to 𝐴 𝐵 .
  • BThe distance from 𝐶 to the image is three times the distance from 𝐶 to 𝐴 𝐵 .
  • CThe distance from 𝐶 to the image is half the distance from 𝐶 to 𝐴 𝐵 .
  • DThe distance from 𝐶 to the image is four times the distance from 𝐶 to 𝐴 𝐵 .
  • EThe distance from 𝐶 to the image is the same as the distance from 𝐶 to 𝐴 𝐵 .

Hence, what is the scale factor of the dilation?

  • A4
  • B 1 2
  • C2
  • D3
  • E1

Q13:

Which type of transformation is shown?

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

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:

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

  • A translation
  • B reflection
  • C rotation

Q17:

A triangle has vertices at the points 𝐴 ( 1 , 1 ) , 𝐵 ( 3 , 1 ) , and 𝐶 ( 1 , 3 ) . The image of this triangle under a transformation has vertices at the points 𝐴 ( 1 , 1 ) , 𝐵 ( 1 , 3 ) , and 𝐶 ( 3 , 1 ) . Which transformation has taken place?

  • Aa translation
  • Ba rotation
  • Ca reflection

Q18:

A transformation is applied to the triangle with vertices 𝐴 ( 𝑥 , 𝑦 ) , 𝐵 ( 𝑥 , 𝑦 + 2 ) , 𝐶 ( 𝑥 + 2 , 𝑦 ) . The image has vertices 𝐴 ( 𝑥 , 𝑦 ) , 𝐵 ( 𝑥 , 𝑦 2 ) , 𝐶 ( 𝑥 2 , 𝑦 ) . Which of the following transformations has taken place?

  • Atranslation
  • Breflection
  • Crotation

Q19:

The vertices of a triangle are mapped using the function ( 𝑥 , 𝑦 ) ( 𝑥 , 𝑦 ) . Which of the following single transformations has taken place?

  • Arotation
  • Btranslation
  • Chorizontal stretching
  • Dreflection

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 𝑥 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 𝐵 𝐶 𝐷 is transformed to 𝐴 𝐵 𝐶 𝐷 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:

Sameh 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:

The vertices of a triangle are mapped using the function ( 𝑥 , 𝑦 ) ( 𝑥 , 𝑦 ) . Which of the following single transformations has taken place?

  • Areflection
  • Btranslation
  • Chorizontal stretching
  • Drotation

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