Transform your abilities
Transformations are used to transform shapes from one position to another or from one size to another.
There are 4 main transformations:
| Transformation | Description |
| REFLECTION | You may have met reflections before when looking at symmetry. Reflections create a "mirror image" of a shape. |
| ROTATION | You may have met rotations before when looking at symmetry. Rotations turn a shape a certain distance around a fixed point. |
| TRANSLATION | Translations move a shape by sliding it around. |
| ENLARGEMENT | Enlaragements make a shape bigger (or smaller). |
1) REFLECTIONS
A reflection is made with the use of a mirror line. Each corner of the shape
is reflected to the opposite side of the mirror line. The reflected image of
each corner is perpendicular (at right-angles) to the mirror line and is the
same distance from the mirror line as the original corners.
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2) ROTATIONS
A rotation is made
about a centre of rotation with the distance rotated indicated by the angle
of rotation. A positive rotation goes anti-clockwise and a negative rotation
goes clockwise. The rotation is made by connecting a corner of the shape to
the centre of rotation and rotating it.
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3) TRANSLATIONS
A translation is shown
as 2 numbers in a matrix e.g. 
.
The x means how many units you should slide the shape horizontally and the y
means how many units you should slide the shape vertically. A positive x means
moving to the right while a negative x means moving to the left. A positive
y means moving up while a negative y means moving down.
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4) ENLARGEMENTS
An enlargement is
made with a centre of enlargement and a scale factor which tells you the change
in size. Join a corner of the shape to the centre of enlargement. Measure the
length of this line. Multiply this by the scale factor and extend the line to
this length. Repeat this with all of the corners and then join the ends up.
A negative enlargement means the image is on the opposite side of the centre
of enlargement.
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