Translating shapes

To know that a translation is a type of transformation.

To understand that a translation leaves the shape looking the same.

To be able to translate shapes and describe translations.

2 4 5 6 7 8 9 101-1-2-3-4-5-6-7-8-9-10

1

2

3

4

5

6

7

8

9

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

10

3

a b

c

My translation is Right 4 and Up 3

b’a’

c’

My next translation is Left 5 and Down 4

x

y

Translations

d e

fg

e’d’

f’g’

My next translation is Left 5 and Down 4

Can you think of an quicker way to translate the shape?

Translate the shapes as follows:

Red shape: 3 down

Blue shape: 4 left, 2 down

Green: 4 right, 2 up

The translated shapes form a letter. Which letter is it?

Translate the shapes as follows:

Red shape: 3 down

Blue shape: 4 left, 2 down

Green: 4 right, 2 up

(Extn: how are the numbers connected to the translation?)

The translated shapes form a letter. Which letter is it?

Translate the shapes as follows:

Red shape: 2 right, 2 down

Blue shape: 3 left

Green: 1 left, 2 up

(Extn:

How are the numbers connected to the translation?)

What is this translation in words?

The translated shapes form a letter. Which letter is it?

3

1

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

Now it’s your turn…

• On your worksheet, translate every shape in by the translation 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!

Worksheet 1

e.g.

Describing Translations

Describe these translations using right/left and up/down:

B to D

G to C

B to C

E to F

F to B

E to F

2 4 5 6 7 8 9 101-1-2-3-4-5-6-7-8-9-10

1

2

3

4

5

6

7

8

9

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

10

3

Translations

a b

cd

Rectangle abcd does a translation of 6 right, 3 down

What are the co-ordinates of

a’ b’ c’ and d’ ?

a’ = (-1, -1)

b’ = (2, -1)

c’ = (2, 4)

d’ = (-1, 4)