Worksheet: Geometric Transformations

In this worksheet, we will practice identifying different geometric transformations, such as translation, reflection, and rotation, of some figures.

Q1:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba translation
  • Ca rotation

Q2:

What kind of transformation has been applied?

  • Areflection
  • Brotation
  • Ctranslation

Q3:

What kind of transformation is shown in the figure?

  • AA translation
  • BA rotation
  • CA reflection

Q4:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba translation
  • Ca rotation

Q5:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba translation
  • Ca rotation

Q6:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba rotation
  • Ca translation

Q7:

What type of geometrical transformation has been applied to the quadrilateral 𝐴𝐵𝐶𝐷?

  • Arotation and reflection
  • Btranslation
  • Crotation
  • Dreflection

Q8:

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

  • Aa rotation
  • Ba translation
  • Ca reflection

Q9:

What rotation about 𝑂 will map 𝐴𝐵 onto 𝐶𝐷?

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

Q10:

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

  • Aa reflection
  • Ba translation
  • Ca rotation

Q11:

Which type of transformation is shown?

  • Areflection or rotation
  • Brotation or translation
  • Creflection, rotation, or translation
  • Dtranslation
  • Ereflection

Q12:

Which type of transformation is shown?

  • Areflection, rotation, or translation
  • Btranslation
  • Crotation or translation
  • Dreflection
  • Ereflection or translation

Q13:

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

  • Arotation
  • Btranslation
  • Creflection

Q14:

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

  • Arotation
  • Btranslation
  • Creflection

Q15:

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

  • Areflection
  • Brotation
  • Ctranslation

Q16:

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

  • ADilation
  • BTranslation
  • CReflection
  • DRotation
  • EHorizontal stretching

Q17:

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

  • Aa rotation
  • Ba translation
  • Ca reflection

Q18:

If the parallelogram 𝐴𝐵𝐶𝐷 is transformed to 𝐴𝐵𝐶𝐷 as shown in the figure, determine whether this transformation is a translation, reflection, or rotation.

  • Aa reflection
  • Ba rotation
  • Ca translation

Q19:

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

  • Aa translation
  • Ba rotation
  • Ca reflection

Q20:

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

  • Areflection
  • Brotation
  • Chorizontal stretching
  • Dtranslation

Q21:

Which type of transformation is shown?

  • Areflection, rotation, or translation
  • Brotation or translation
  • Creflection or translation
  • Dtranslation
  • Ereflection

Q22:

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

  • Aa rotation
  • Ba translation
  • Ca reflection

Q23:

Two parallel lines are translated six right and five up. Are the resulting two lines parallel to each other, or do they intersect?

  • AThey are parallel.
  • BThey intersect.

Q24:

𝐴 𝐵 is translated three left and five up. Is the length of the image resulting from this transformation greater than, less than, or the same as the length of 𝐴𝐵?

  • Athe same
  • Bgreater than
  • Cless than

Q25:

Describe the single transformation that would map triangle 𝐴𝐵𝐶 onto triangle 𝐴𝐵𝐶 in the given figure.

  • AA reflection in the line 𝐷𝐸
  • BA rotation of 90 counterclockwise about 𝐷
  • CA reflection in the line 𝐸𝐹
  • DA reflection in point 𝐸
  • EA rotation of 180 about 𝐸

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