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 𝐴đĩđļ𝐷?

  • 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 𝐴đĩ onto đļ𝐷?

  • A−144∘
  • B144∘
  • C−36∘
  • D36∘

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 of the following transformations can turn the letter 𝑏 into 𝑑?

  • AReflection
  • BTranslation
  • CRotation

Q12:

Daniel cuts out a heart shape from a folded piece of paper and realizes that the act of unfolding a piece of paper leads to a transformation of the heart. Which transformation is represented?

  • AReflection
  • BTranslation
  • CRotation

Q13:

Triangle 𝐴′đĩ′đļ′ is the image of triangle 𝐴đĩđļ after a single transformation. What type of transformation was used?

  • ARotation
  • BReflection
  • CRotation and reflection
  • DTranslation

Q14:

⃖īƒŠīƒŠīƒŠīƒŠâƒ—𝐴đĩ and ⃖īƒŠīƒŠīƒŠīƒŠâƒ—đļ𝐷 are parallel. Both have been reflected in ⃖īƒŠīƒŠīƒŠīƒŠâƒ—𝐸𝐹 to ⃖īƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠâƒ—đ´â€˛đĩ′ and ⃖īƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠâƒ—đļ′𝐷′ respectively. What do you notice about ⃖īƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠâƒ—đ´â€˛đĩ′ and ⃖īƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠīƒŠâƒ—đļ′𝐷′?

  • AThey are parallel.
  • BThey are perpendicular.
  • CThey are intersecting.

Q15:

What is the name of the transformation that mirrors a shape in a given line?

  • Ahorizontal stretching
  • Brotation
  • Ctranslation
  • Ddilation
  • Ereflection

Q16:

Which type of transformation takes the polygon 𝐴đĩđļ𝐷 to 𝐴′đĩ′đļ′𝐷′?

  • Arotation
  • Btranslation
  • Creflection

Q17:

Identify the type of the following geometric transformation.

  • Arotation
  • Btranslation
  • Creflection

Q18:

What kind of transformation sends 𝐴đĩđļ to 𝐴′đĩ′đļ′?

  • Arotation
  • Brotation and reflection
  • Creflection
  • Dtranslation

Q19:

Two points 𝐴 and đĩ have been reflected to the points 𝐴′ and đĩ′, respectively. Which of the following properties will be true of the line segments 𝐴đĩ and 𝐴′đĩ′?

  • AThey are parallel.
  • BThey are intersecting.
  • CIt is impossible to know.
  • DThey are perpendicular.
  • EThey are coincident.

Q20:

What is the name of the transformation that slides figures without flipping or rotating them?

  • Atranslation
  • Brotation
  • Cdilation
  • Dhorizontal stretching
  • Ereflection

Q21:

What single transformation could map one figure to the other?

  • Areflection
  • Btranslation
  • Crotation

Q22:

A transformation maps point 𝐴 to point đĩ. We say that 𝐴 is the of đĩ.

  • Aimage
  • Bpreimage
  • Cpostimage
  • Dorigin
  • Efigure

Q23:

A transformation maps point 𝐴 to point đĩ. We say that đĩ is the of 𝐴.

  • Apostimage
  • Bimage
  • Cpreimage

Q24:

When Hannah first looked at the clock, the minute hand pointed toward the 12. When she next looked up at the clock, the minute hand had turned and was now pointing toward the 3. State the transformation of the minute hand.

  • AReflection
  • BRotation
  • CTranslation

Q25:

What is the image of the points 𝐴 and đļ after a reflection in the line đŋ?

  • A𝐴→𝐴, đļ→đļ
  • B𝐴→𝐴, đļ→đĩ
  • C𝐴→đĩ, đļ→đļ

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