Name:______________________________________________

Transformation Test (46 points)

Learning goals this test addresses: I can describe translations, rotations, and reflections on two-dimensional figures using coordinates.I can describe dilations on two-dimensional figures using coordinates. I can determine if a figure is congruent to another figure.I can determine if a figure is similar to another figure.I can describe the sequence of transformations that occurred to get from one figure to another (similar or congruent) figure.

Part One Directions: Fill in the rules for each transformation in the table below. Then, using information from the table, state what quadrant the image would be in after the given transformation. Then, choose three points from the preimage and complete the given transformation. (This portion of the test should look very familiar!) (LG 1 & 2) 1. (4 points)

90 ° rotation 180 ° rotation Reflection over x axis

Reflection over y axis

(x,y)

2. Reflection over y axis (4 points)Quadrant: ____________________________

Preimage points: ____________________________________

Points after reflection over y axis: ____________________________________

Name:______________________________________________

3. 180 ° rotation (4 points)

Quadrant: ___________________________

Preimage points: ___________________________________

Points after 180° rotation: ___________________________________

4. Translation 3 units down, 2 units right (4 points)

Quadrant: ____________________________

Name:______________________________________________

Preimage points: ____________________________________

Points after translation: ____________________________________

Part Two Directions: State the transformation that occurred to get from A to A’. Then determine if the figures are similar or congruent. (LG 3 & 4)

5. (2 points)

Transformation: ___________________________________

Relationship: ___________________________________

6. (2 points)

Transformation: ________________________________________

Name:______________________________________________

Relationship: _________________________________________

7. (2 points)

Transformation: ___________________________________

Relationship: ___________________________________

8. (2 points)

Transformation: ________________________________________

Relationship: ________________________________________

Name:______________________________________________

Part Three Directions: Describe the sequence of transformations to get from A to A’. Then, determine if the figures are congruent or similar. (LG 5)

9. (5 points)

Transformations: ________________________________

________________________________

Relationship: ________________________________

10. (5 points)

Transformations: _________________________________

_________________________________

Relationship: _________________________________

Name:______________________________________________

11. (5 points)

Transformations: _________________________________

_________________________________

Relationship: _________________________________

12. (7 points)

Transformations: _______________________________

_______________________________

Name:______________________________________________

Relationship: _______________________________