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TRANSFORMATIONS Reflecti ons Enlargements

TRANSFORMATIONS Rotations Enlargements Translations

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Page 1: TRANSFORMATIONS Rotations Enlargements Translations

TRANSFORMATIONS

ReflectionsRotatio

ns

Enlargements

Translations

Page 2: TRANSFORMATIONS Rotations Enlargements Translations
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Vectors

Right 2 and up 3 can be written as

2

3

Left 3 and down 2 is written as

3

2

Up 3 is written as0

3

Right 4 is written as

4

0

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Vectors

9

15

The top number tells you how many squares across you go (positive for right, negative for left)

The bottom number tells you how many squares up or down you go (positive for up, negative for down)

What does this vector tell you?

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Vectors3

1

2

0

0

5

1

2

2

1

0

2

3

1

Vectors can be used to describe translations – that is, when a shape is moved in a straight line without reflecting or rotating.

4

3

3

4

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Translate the shapes by the corresponding vector to form a letter. Which letter is it?

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Translate the shapes by the corresponding vector to form a letter. Which letter is it?

Page 9: TRANSFORMATIONS Rotations Enlargements Translations

Translate the shapes by the corresponding vector to form a letter. Which letter is it?

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Translate the shapes by the corresponding vector to form a letter. Which letter is it?

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What letter would you get if you reflected each shape in its corresponding mirror line?

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What letter would you get if you reflected each shape in its corresponding mirror line?

Page 14: TRANSFORMATIONS Rotations Enlargements Translations

What letter would you get if you reflected each shape in its corresponding mirror line?

Page 15: TRANSFORMATIONS Rotations Enlargements Translations

What letter would you get if you reflected each shape in its corresponding mirror line?

Page 16: TRANSFORMATIONS Rotations Enlargements Translations

What letter would you get if you reflected each shape in its corresponding mirror line?

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What letter would you get if you reflected each shape in its corresponding mirror line?

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Rotate each shape as described in the diagram.What letter do you get?

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Rotate each shape as described in the diagram.What letter do you get?

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Rotate each shape as described in the diagram.What letter do you get?

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Rotate each shape as described in the diagram.What letter do you get?

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Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2.

What letter do you get?

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Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2.

What letter do you get?

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Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2.

What letter do you get?

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Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2.

What letter do you get?

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Now it’s your turn…

• On your worksheet, translate every shape in by the vector attached to it.

• Use tracing paper to help you.• All the shapes should fit together to form a

word.• Draw in pencil in case you make any

mistakes.• Count carefully!

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e.g.

Page 30: TRANSFORMATIONS Rotations Enlargements Translations

Now it’s your turn…

• On your worksheet, reflect every shape in the corresponding mirror line.

• Use tracing paper to help you.• All the shapes should fit together to form a

word.• Draw in pencil in case you make any

mistakes.

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e.g.

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Now it’s your turn…

• On your worksheet, rotate every shape according to the instructions on the shape.

• Not every point is used. • Use tracing paper to help you.• All the shapes should fit together to form a word.• Draw in pencil in case you make any mistakes.• Please note – direction is not important if the

angle is 1800.

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e.g.

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Now it’s your turn…

• On your worksheet, enlarge every shape according to the instructions on the shape. (sf stands for scale factor)

• All the shapes should fit together to form a word.

• Draw in pencil in case you make any mistakes.

• Leave the negative scale factors until the end.

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Leave until the end

Leave until the ende.g.