By Ginny Ruadh (P7)

TransformationsTransformationsTransformationsTransformations

MATHSMATHSMATHSMATHS

geometry

TransformationsTransformationsTransformationsTransformations

Transformations = same shape, same size and same measurements

BUT different position.

Moving or changing shapes using strict rules.

1. Reflection,

2. Translation,

3. Rotation

After any of those transformations (turn, flip or slide),

the shape still has the same size, area, angles and line lengths.

1. REFLECTION1. REFLECTION1. REFLECTION1. REFLECTION

The reflection of a point is the same distance from the mirror line, measured at 90% (right angels) to the line. Your image can be double checked by folding your paper along the mirror line.

The mirror line can be vertical, horizontal of diagonal.

Mirror line = FLIP

Object vs image

Object Image

*It’s the same as flip horizontal on Powerpoint – if mirror line is horizontal

Object Image

Image Object

Vertical mirror line

Object Image

Horizontal mirror line

Image Object

Vertical mirror line

2. TRANSLATION2. TRANSLATION2. TRANSLATION2. TRANSLATION

Translation = Sliding a shape around.

Slide = up/down + left/right

(NOT turning or flipping!)

On squared paper - mark each new corner point by working out their new positions.

Then join corners together

3 blocks right

5 blocks down

1

2

3

4

5

2 3

X

Move 3 squared to the right and 5 squares down

3. ROTATION3. ROTATION3. ROTATION3. ROTATIONRotation = TURN

Turn = moving around a point (centre of rotation)Move = clcokwise / anti clockwise

Amount of turn = degrees/fraction (90 degrees or ¼)

*Tracing paper will be your best friend for rotating objects.

Anti clockwiseClockwise

The distance from the centre

to any point on the shape

stays the same.

Every point

makes a circle

around the center.

Object Rotated 90° clockwise

Rotated 180° clockwiseRotated 270° clockwise

3. ROTATION3. ROTATION3. ROTATION3. ROTATION

*Tracing paper will be your best friend for rotating objects.

Anti clockwiseClockwise

Object Rotated 90° clockwise

Rotated 180° clockwiseRotated 270° clockwise

3. ROTATION3. ROTATION3. ROTATION3. ROTATION

*Tracing paper will be your best friend for rotating objects.

Anti clockwiseClockwise

Object Rotated 90° clockwise

Rotated 180° clockwiseRotated 270° clockwise

Rotating with tracing paperRotating with tracing paperRotating with tracing paperRotating with tracing paper

+

Trace the object, the centre (+) and the pointer (90 °/ ¼ of a rotation)

Place a pencil on the centre (pinning both pages together) and rotate the tracing paper 90° clockwise

Rotating with tracing paperRotating with tracing paperRotating with tracing paperRotating with tracing paper

+

Mark the corners of the image (Leaving pressure points on original page beneath the tracing paper)

Remove the tracing paper and join the corners.

ReferencesReferencesReferencesReferences

1. http://www.mathsisfun.com

2. Key Stage 2 – The Essentials of Maths (SRG)