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Coordinate Rotation Worksheets

Draw rotated images of triangles, quadrilaterals and box outlines on printable coordinate grids.

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Plot the original vertices, apply the rotation rule, then draw and label the image on the grid.

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Rotate around the origin

Track every labeled vertex through the stated turn, then join the image vertices in the same order.

Learning objective

What this activity builds

Rotate every vertex around the origin by the stated angle and direction.

Worked example

Rotate P(2, 3) 90 degrees counterclockwise about the origin.

P′ = (-3, 2).

A 90-degree counterclockwise rotation maps (x, y) to (-y, x).

Teaching notes

Make the practice count

  • Mark the origin as the center of rotation.
  • Apply the same rule to every vertex.
  • Check that the distances from the origin stay unchanged.

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Six coordinate grids ask students to draw labeled rotations about the origin. Choose triangles, 4-sided polygons, boxes, or any nonempty combination.

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Math SheetNameScoreTeacherDateCoordinate RotationsRotate each labeled figure about the origin. Draw and label its image on the same grid.Draw each image1.Rotate 90 degrees clockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyABCDEF2.Rotate 180 degrees clockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyDEFG3.Rotate 270 degrees clockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyGHJ4.Rotate 90 degrees counterclockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyKLM5.Rotate 180 degrees counterclockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyNPQR6.Rotate 270 degrees counterclockwise about the origin.-5-5-4-4-3-3-2-2-1-101122334455xyRSTUVWSolid black = original; dashed blue = labeled image (shown on the key for drawing tasks).math-sheet.comPage 1 of 1

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