Composition of geometric transformations

Select the correct transformation that maps ABDC to A'B'C'D'.

• Rotation 90 CW followed by translation 10 units to the left

• Translation 6 units down followed by rotation 90 CW

• Translation 10 units to the left followed by 90 CW rotation

• Rotation 90 CCW followed by translation 6 units down

Select all the possible transformations that map EFGH to E'F'G'H'.

• Y-axis reflection followed by translation 6 to the right and 3 down

• X-axis reflection  followed by translation 4 to the left

• 180 rotation followed by translation 6 to the right

• 180 rotation followed by y-axis reflection

What transformation proves that
EF is congruent to E'F'?

• 90 CW rotation followed by y=-x reflection

• X axis reflection followed by translation left 1 and down 1

• y=x  reflection followed by translation left 8 and 1 down

• 180 rotation followed by translation 6 left and 2 down

Choose the correct similarity transformation.

• Dilation using scale factor of 5/2 followed by a rotation 90 CCW

• Dilation with a scale factor of 5/2 followed by a y-axis reflection

• Dilation with scales factor of 5/2 followed by 90 CCW rotation and then a translation 3 units to the left and 3 units down

• 90 CCW rotation  followed by 5/2 dilation

Select ALL that apply.

• Dilation using 2 as scale factor followed by y-axis reflection.

• X axis reflection followed by dilation using scale factor of 2

• Y axis reflection followed by dilation using scale factor of 2

• 90 CCW rotation followed by dilation using scale factor of 2

Select the rule for the similarity transformation shown.

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Select the correct transformation.

• Dilation using scale factor of 2/3 , followed by x-axis reflection

• Y axis reflection followed by dilation with 2/3 as scale factor

• 90 CW rotation followed by dilation with 2/3 as scale factor

• Dilation using scale factor of 2/3 followed by a 180 rotation

Choose the congruency transformation that proves the two pentagons to be congruent.

• 180 rotation followed by translation 1 to the right

• X-axis reflecton followed by y-axis reflection

• Reflection across line y=x followed by translation 1 to the right

• Y-axis reflection followed by 180 rotation

Select the correct congruency transformation.

• X-axis reflection, then translation 10 to the right

• 180 rotation, then y-axis reflection

• Y-axis reflection, then x-axis reflection

• Reflection over line y=-x

Triangle EFG has vertices (-8,-4), (-8,0) and (4,0). Its image is E’F’G’ with vertices (3,6), (0,6) and (0,3)  respectively.

Which similarity transformation shows the two are similar?

• Dilation using scale factor of 3/4 , followed by y-axis reflection, then a 90 CCW rotation

• Dilation using scale factor of 4/3 , followed by y-axis reflection, then a 270 CCW rotation

• Dilation using scale factor of 3/4 , followed by 180  rotation, then y-axis rotation

• Dilation using scale factor of 4/3 , followed by 180  rotation, then y-axis rotation