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Lesson: Geometric Transformations of Figures

Sample Question Videos

Worksheet • 25 Questions • 3 Videos

Q1:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba translation
  • Ca rotation

Q2:

What kind of transformation has been applied?

  • Atranslation
  • Brotation
  • Creflection

Q3:

What kind of transformation is shown in the figure?

  • Aa translation
  • Ba reflection
  • Ca rotation

Q4:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba reflection
  • Ca translation

Q5:

What kind of transformation is shown in the figure?

  • Aa reflection
  • Ba rotation
  • Ca translation

Q6:

What kind of transformation is shown in the figure?

  • Aa rotation
  • Ba reflection
  • Ca translation

Q7:

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

  • Atranslation
  • Breflection
  • Crotation and reflection
  • Drotation

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 𝐴 𝐡 onto 𝐢 𝐷 ?

  • A 1 4 4 ∘
  • B βˆ’ 1 4 4 ∘
  • C βˆ’ 3 6 ∘
  • D 3 6 ∘

Q10:

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

  • Aa reflection
  • Ba rotation
  • Ca translation

Q11:

Which type of transformation is shown?

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

Q12:

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

Hence, what is the scale factor of the dilation?

Q13:

Which type of transformation is shown?

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

Q14:

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

  • A reflection
  • B rotation
  • C translation

Q15:

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

  • A reflection
  • B rotation
  • C translation

Q16:

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

  • A reflection
  • B rotation
  • C translation

Q17:

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 rotation
  • Ba reflection
  • Ca translation

Q18:

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?

  • Areflection
  • Brotation
  • Ctranslation

Q19:

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?

  • Areflection
  • Btranslation
  • Chorizontal stretching
  • Drotation

Q20:

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

  • Adilation
  • Bhorizontal stretching
  • Ctranslation
  • Dreflection
  • Erotation

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 rotation
  • Ba translation
  • Ca reflection

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 reflection
  • B a translation
  • C a rotation

Q23:

Sameh drew a triangle on a graph by using the points , , and . He then flipped the triangle across the line that runs from to . What type of transformation did he perform? Where is the third vertex of the graph located now?

  • A reflection,
  • B translation,
  • C reflection,
  • D translation,

Q24:

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

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

Q25:

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

  • Arotation
  • Btranslation
  • Chorizontal stretching
  • Dreflection
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