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Shape Translations Worksheet

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Shape Translations Worksheet

A translation slides a shape from one place to another. It does not turn, flip or resize the shape. On a grid, right and up increase the coordinates; left and down decrease them. Complete the activities and show your thinking.

Spot the translation

Think about what changes—and what stays the same—when a shape slides.

1.A triangle moves to a new place but does not turn or change size. What has happened to the triangle?

It has been translated (slid).
It has been rotated (turned).
It has been enlarged (made bigger).
It has been reflected (flipped).

2.Select one choice that names two things that stay the same when a shape is translated.

Its shape and size
Its position and size
Its colour and position
Its direction and position

3.Which movements are translations? Choose all that apply.

Slide a square 4 spaces right.
Turn a rectangle a quarter-turn.
Slide a triangle 2 spaces up.
Make a circle twice as large.

Follow the moves

For these questions, a position is written as (across, up). For example, moving 1 space right adds 1 to the first number.

4.The bottom-left corner of a triangle is at (2, 1). The triangle slides 3 spaces right. What is the new position of that corner?

5.A square starts at (4, 2). It slides 2 spaces left and 3 spaces up. What is its new position?

6.A shape moves from (1, 3) to (4, 3). Describe its movement.

7.When a shape slides up, its across-number stays the same and its up-number .

Your turn to translate

Plan the moves first, then show the original and translated shapes.

8.In the drawing area, sketch a grid with equal-sized squares. Draw a triangle with one corner on a grid intersection. Then draw the same triangle translated 2 grid-square steps right and 1 grid-square step up. Keep its size and direction the same.

9.A kite-shaped tile starts at (2, 2). It slides 1 space up, then 2 spaces right, then 1 space down. Where does it finish? How far has it moved altogether?

10.A student says, “A translation changes where a shape is, but the shape stays the same.” Is this correct? Explain why.