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Shape Transformations Worksheet
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Shape Transformations Worksheet
A designer is creating a repeating pattern for a community art panel. Solve each task using slides, flips and turns. Unless stated otherwise, transformations keep the shape’s size and angles unchanged.
Spot the transformation
Choose the best description for each change.
1.A triangular motif moves 5 units right and 2 units down. It does not turn or flip. Which transformation is this?
- Translation
- Reflection
- Rotation
- Enlargement
2.A design is reflected in a vertical mirror line. State two properties that stay the same and one property that changes.
3.A square turns 90° anticlockwise about its centre. How many right angles has it turned, and what is the smallest positive angle that returns it to its original appearance?
Coordinates and rules
Use the coordinate information in each task. Write coordinates in the order (x, y).
4.Point A is at (2, 3). It is translated 4 units left and 1 unit down. What are the coordinates of A′?
5.A point P at (−3, 4) is reflected in the y-axis. What are the coordinates of P′? Explain the coordinate change.
6.A point Q at (3, 1) is rotated 90° clockwise about the origin. What are the coordinates of Q′? Use the rule (x, y) → (y, −x).
7.True or false: After a reflection, a shape’s side lengths and angle sizes are unchanged, but its orientation may be reversed.
TrueFalse
Design and explain
Finish the panel design by applying transformations and explaining your choices.
8.Draw a triangle and its image after a reflection in a vertical mirror line. Label the mirror line and mark at least one pair of corresponding vertices.
9.The design starts with a motif at (1, 2). First translate it 3 units right and 1 unit up. Then reflect the result in the y-axis. What are the final coordinates?
10.A motif is reflected in the x-axis and then reflected in the y-axis. What single rotation has the same overall effect? State its centre and angle.
11.Create a repeating two-motif design using at least two different transformations. Sketch the design and label the transformations you used.
3 printable pages
Page 1
Page 2
Page 3
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