Reflections and Rotations on the Coordinate Plane Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 8CCSS 8.G.A.3Answer key includedPDF · Print

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Easy: Reflect across the x-axis

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Worksheet variations

A reflection across the x-axis keeps x and changes the sign of y: (x, y) → (x, −y). Across the y-axis, x changes sign: (x, y) → (−x, y). A 180° rotation about the origin changes both signs: (x, y) → (−x, −y).

EasyReflect across the x-axis MediumReflect across the y-axis HardReflections and 180° rotations, including points on an axis

How to solve it: a worked example

Write the coordinates of each image.

Start
Across the x-axis, y changes sign
Answer

Common mistakes to watch for

Reflecting across the x-axis by changing x instead of y.
Swapping the coordinates instead of changing a sign.
Thinking a point on the mirror line moves.

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