Mrs.D Math · 8th Grade

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SHIFTER

Geometry · Algebraic Representations of Transformations
🔄 Rotation
🪞 Reflection
➡️ Translation
➡️ (x, y) → (x + 3, y − 2)
🪞 (x, y) → (x, −y)
🔄 (x, y) → (−y, x)
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📚 Transformation Rules

➡️ Translations (Slides)

Add or subtract to slide a point. Right/left changes x. Up/down changes y.

✓
Right a, Up b: (x, y) → (x + a, y + b)
3 right, 2 down: (x, y) → (x + 3, y − 2)

🪞 Reflections (Flips)

✓
Across the x-axis: (x, y) → (x, −y) — y flips sign
✓
Across the y-axis: (x, y) → (−x, y) — x flips sign

🔄 Rotations (Turns about the origin)

✓
90° clockwise: (x, y) → (y, −x)
✓
90° counterclockwise: (x, y) → (−y, x)
✓
180°: (x, y) → (−x, −y) — both signs flip

How to Play

🔍
What's the Move? — See a rule or a point pair. Name the transformation.
📐
What's the Rule? — Given the transformation, pick the correct algebraic rule.
🆕
Mixed — Both types PLUS tap-the-graph challenges where you place A′ yourself!
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WHAT'S THE MOVE?
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