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Transformation Geometry Worksheet

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Transformation Geometry Worksheet

Explore how shapes move around the skate park. For coordinate questions, write coordinates as (x, y). A slide moves a shape without turning or flipping it, a flip reverses it across a line, and a turn moves it around a fixed point.

Spot the transformation

Talia is helping plan a geometric mural for the skate park.

1.Talia slides a triangular tile 4 squares right without turning or flipping it. Which transformation has she used?
  • Reflection
  • Rotation
  • Translation
  • Line symmetry
2.Evie turns a square tile one quarter-turn clockwise around its centre. How many degrees has it turned?
3.Hudson reflects point A(3, 2) in the y-axis. What are the coordinates of A′?
4.Point B(−2, 5) is reflected in the x-axis. Find B′.

Work with coordinates

For Questions 5–7, write the transformed coordinates directly. Each vertex is given so you can work out the new coordinates accurately.

5.Triangle P has vertices (1, 1), (4, 1) and (2, 3). Translate it 2 units left and 1 unit up. Write the three new vertices.
6.Square Q has vertices (1, 1), (3, 1), (3, 3) and (1, 3). Rotate it 180° about the origin. Write the new vertices in the same order.
7.A point R(2, 5) is rotated 90° anticlockwise about the origin. What are its new coordinates?
8.Match each transformation type with its description.
  • Slide
  • Flip
  • Turn
  • B. Turn around a fixed point
  • A. Flip over a line
  • C. Slide without turning
9.A regular octagon is part of the skate park mural. How many lines of symmetry does it have?
10.A shape is reflected first in the x-axis, then the result is reflected in the y-axis. What single transformation gives the same result? Explain using a point (x, y).
11.Design a small skate-park tile and show its original position and two transformed copies. Label one copy with a slide and the other with a flip or turn.
Show the original and both transformed copies. Add arrows and labels.

3 printable pages

  • Transformation Geometry Worksheet, page 1 of 3: Spot the transformation, Work with coordinates

    Page 1

  • Transformation Geometry Worksheet, page 2 of 3: 6. Square Q has vertices (1, 1), (3, 1), (3, 3) and (1, 3). Rotate it 180° about the…

    Page 2

  • Transformation Geometry Worksheet, page 3 of 3: Show the original and both transformed copies. Add arrows and labels.

    Page 3

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