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Geometric Transformations Exploration

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Geometric Transformations Exploration

Explore how shapes can slide, flip and turn. A transformation changes a shape’s position or direction. Unless a question says otherwise, the shape keeps its size and form.

Spot the transformation

Imagine a triangular road sign sliding across the pavement without turning or flipping.

1.Which transformation moves the triangle to a new position without changing its direction?
  • Reflection
  • Rotation
  • Translation
2.Match each transformation to the way it moves a shape.
  • Translation
  • Reflection
  • Rotation
  • Flip over a line
  • Turn around a point
  • Slide
3.A square is reflected in a mirror line. Which three facts stay the same: its size, its position, its number of sides, or its angles?

Turn, flip and repeat

Think about what happens when shapes are transformed. Each question gives the information needed to answer it.

4.A quarter-turn is a rotation of how many degrees?
  • 45°
  • 90°
  • 180°
5.A triangle is turned half a turn around a point. How many degrees has it rotated?
6.True or false: A reflection always keeps a shape the same size, but reverses its orientation.
TrueFalse
7.Write the missing word: A transformation that turns a shape around a fixed point is a .

Make a repeating design

Patterns can be made by repeating a shape using one or more transformations.

8.A tile pattern repeats the same square by sliding each tile to the right. Which transformation makes the repeating row?
9.Draw a simple shape, then show what it looks like after a reflection in a line. Add the mirror line and label the original and reflected shapes.
10.Design a repeating pattern using at least two different transformations. Draw the first few shapes and explain which transformations you used.

3 printable pages

  • Geometric Transformations Exploration, page 1 of 3: Spot the transformation

    Page 1

  • Geometric Transformations Exploration, page 2 of 3: Turn, flip and repeat, Make a repeating design

    Page 2

  • Geometric Transformations Exploration, page 3 of 3: 9. Draw a simple shape, then show what it looks like after a reflection in a line. Add…

    Page 3

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