Free Printable Composition of Rigid Transformations

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Composition of Rigid Transformations

Total questions: 20

Worksheet time: 34mins

Name

Class

Date

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

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

Green Triangle

Blue Triangle

Orange Triangle

Red Triangle

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

A double reflection over the x- and y-axes is the same as a ____________ of ______.

Rotation of 180 Degrees

Rotation of 90 Degrees

Reflection over the x-axis

Reflection over the y-axis

Identify the transformation from ABC to A'B'C'.

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

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

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

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation T_{2, -1} o r_y-axis ?

(3, 1), (-1, -7), (6, -6)

(3, -3), (-1, 5), (6, 4)

(1, -3), (5, 5), (-2, 4)

(-1, -2), (3, 6), (-4, 5)

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

10.

Name the series of transformations that maps ABC onto DEF

reflect over x then translate left 6 up 1

reflect over y then translate down 6 left 1

translate right 6 down 1, then reflect over x

rotate 90 clockwise then reflect over y

11.

Translations, rotations, and reflections are three different types of what?

Transformations

Geometry

Vectors

Shapes

12.

A slide is also called a _________.

Translation

Reflection

Rotation

Transformation

13.

A flip is also called a _________.

Translation

Reflection

Rotation

Transformation

14.

Congruent means...

The same angles.

The same size and same shape.

Equal to.

The same transformation.

15.

The original figure prior to a transformation.

Pre-image

Image

16.

The result of a transformation.

Pre-image

Image

17.

In the diagram below, the composite transformation of ABC to A″B″C″ is an example of a

Reflection followed by rotation

reflection followed by a translation

translation followed by a rotation

translation followed by a reflection

18.

Identify which sequence of rigid motions maps ABC onto A'B'C' and then maps A'B'C' onto A"B"C"

rotation followed by another rotation

translation followed by reflection

reflection followed by rotation

reflection followed by translation

19.

Which sequence of transformations maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A"B"C"D"?

reflection followed by rotation

reflection followed by translation

translation followed by rotation

translation followed by reflection

20.

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

reflection followed by translation

rotation followed by translation

translation followed by reflection

translation followed by rotation

100 %

Composition of Rigid Transformations

Total questions: 20

Worksheet time: 34mins

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