transformation

A

We are given a shape on the axis…shape A

And we are told to move the whole shape 4 squares to the right, and 6 squares up

translation

A

To begin this problem, we need to focus on one corner…any…

Now count 4 to the right

And count 6 up

A

Now we know where the X moves to

And now we can tell where the rest of the shape must go…

A’

A

The vector to describe this is…

A’

( 4

6)

Find the translation vector for B to B’…

( )B

B’

Find the translation vector for B to B’…

( )B

B’

Find the translation vector for B to B’…

( 1

6)B

B’

Now the question is to reflect the blue shape in the red mirror line

Use a piece of tracing paper to help

Reflection

Each point is exactly the same distance as before…

Use a piece of tracing paper to help

Each point is exactly the same distance as before…

Use a piece of tracing paper to help

Using the red mirror line, find the reflection of shape C…

C

Using the red mirror line, find the reflection of shape C…

C

Using the red mirror line, find the reflection of shape C…

C

C’

A rotation turns a shape about a fixed point.

This point is called the centre of rotation.

To describe a rotation you need 3 things…

•1) Angle

•2) Direction

•3) The centre

Now the question is to rotate the object

D

Rotation

D

1800

Clockwise

About the origin (0,0)

Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

DDD

Now the question is to rotate the object

D

Rotation

D

900

Clockwise

About the origin (0,0)

DHint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

DDD

Now the question is to rotate the object

D

Rotation

D

900

Anti-Clockwise

About the point (-2,1)

Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.

DDD

Now copy a set of axes with

•y going from -7 to 7, and

•x going from -4 to 4.

Now the question is to enlarge the object

To do this you need to know two things…how much the shape grows, and where to start from

Enlargements

E

We are asked to enlarge shape E, from (-4,1) with scale factor 3

E

First draw your enlargement lines, which will show you where the corners of the enlarged shape must be

E

Find where the new shape is by counting the distance of each corner of E from the X, then multiplying by 3.

E

E’

Transformation final

( )25