Composition of Rigid Transformations

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

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

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

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

Which would be the correct notation for the composition of transformations from blue to red to green?

• <-4,0> then R_{y axis}

• R_{y axis} then <0, -4>

• <0, -4> then R_{y axis}

• R_{x axis} then R_{y axis}

Describe the TRANSFORMATIONS that map ABC (green triangle) onto A"B"C" (red triangle).

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

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

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