Geometry Transformations Test PDF Sample
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Answer key included
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PDF preview
1. Reflect A(3, −5) across the y-axis.
2. Rotate B(2, 5) 180° about the origin.
3. A triangle with vertices (0, 0), (2, 0) and (0, 3) is dilated by a scale factor of 3, centered at the origin. Find the new vertices.
Preview shows representative problems from the printable student-facing PDF.
Answer key preview
1. A′(−3, −5)
Reflection across the y-axis keeps y and changes the sign of x: (x, y) → (−x, y).
2. B′(−2, −5)
A 180° rotation changes both signs: (x, y) → (−x, −y).
3. (0, 0), (6, 0), (0, 9)
Multiply every coordinate by the scale factor 3.
Worked answers help teachers verify explanation depth, not just final-answer accuracy.
Skills assessed
- Translations, reflections and rotations on the coordinate plane (G.CO.2, G.CO.5)
- Coordinate rules for rigid motions (G.CO.4)
- Dilations and scale factor (G.SRT.1)
- Sequences of transformations and congruence (G.CO.6)
Difficulty balance
5 easy single-transformation coordinate items, 3 medium rotation and dilation problems, 2 hard composition-of-transformations and congruence items
Teacher use case
Useful as a unit test for the transformations chapter, a review before congruence and similarity, or an equivalent retake paper for parallel classes.
Common student mistakes to watch for
- Using the x-axis rule for a y-axis reflection
- Rotating clockwise when the question asks for counterclockwise (90° counterclockwise: (x, y) → (−y, x))
- Assuming a dilation keeps side lengths the same; it keeps angles, not distances
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Does the sample include an answer key?
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Can I generate a harder or easier version?
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