Compositions of Transformations

Compositions of Transformations

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Important Vocab! Take Notes!

Multiple Choice

A transformation in which a second transformation is performed on a image of a first transformation is called

• composition of transformation

• translation

• rigid motion

• reflection

Multiple Select

Which of these segments could be an image of segment AB after a sequence of transformations? Check all that apply.

• CD

• GH

• JK

• LM

• NP

Multiple Choice

What is the sequence of transformations?

• Reflect over the y then reflect over the x
• Reflect over the x then reflect over the y
• Translate 4 units then rotate 90˚
• Rotate 90˚ then reflect over the x

Multiple Choice

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

Multiple Choice

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y

• translate 5 down and 1 left, then reflect over y

• reflect over y=x then translate left 8

• reflect over x then rotate 90 clockwise

Multiple Choice

Is the diagram an example of a glide reflection?

• Yes, the direction of the translation is parallel to the line of reflection.

• No, the direction of the translation is not parallel to the line of reflection.

Multiple Choice

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis