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🧠 Transformations on the Coordinate Plane: Show Your Thinking (8.G.A.3)

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Describe the effect of dilations, translations, rotations and reflections using coordinates. Solve each problem and show your work.

1. Translate (1, 6) by (x + 5, y + 3)
Show your work
2. Reflect (-4, 3) over the x-axis
Show your work
3. Rotate (-3, -6) 90Β° counterclockwise about the origin
Show your work
4. Dilate (3, -6) by scale factor 2 (center origin)
Show your work
5. Translate (7, -4) by (x + 3, y + 2)
Show your work
6. Reflect (0, 2) over the x-axis
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) (6, 9) Β· 2) (-4, -3) Β· 3) (6, -3) Β· 4) (6, -12) Β· 5) (10, -2) Β· 6) (0, -2)
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Worksheets β€Ί Grade 8 Math β€Ί Transformations on the Coordinate Plane β€Ί Transformations on the Coordinate Plane

Grade 8 (ages 13–14)Numbers & mathsFree printable PDF

About this grade 8 worksheet

Free Grade 8 math worksheet (Common Core 8.G.A.3): transformations on the coordinate plane β€” problems with space to show work and explain reasoning, with answer key. Skill: Describe the effect of dilations, translations, rotations and reflections using coordinates. Level: Grade 8 β€” also suits Year 9 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.

What skills does it build?

Describe the effect of dilations, translations, rotations and reflections using coordinates.

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More β€œTransformations on the Coordinate Plane” printables (8.g.a.3: describe the effect of dilations, translations, rotations and reflections using coordinates)

Transformations on the Coordinate Plane: Practice A (8.G.A.3) Β· Transformations on the Coordinate Plane: Practice B (8.G.A.3) Β· Transformations on the Coordinate Plane: Mixed Practice & Reasoning (8.G.A.3) Β· Transformations on the Coordinate Plane: Quick Check (8.G.A.3)

All 5 transformations on the coordinate plane sheets β†’ Β· Grade 8 Math: all 10 skills β†’ Β· All Common Core grades

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