Rotations and Series of Rigid Motions

True or False: Rigid motions preserve segment length.

• True

• False

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

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

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

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

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

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

• Transformations

• Geometry

• Vectors

• Shapes

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