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Published byGwendolyn Doyle Modified over 2 years ago

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Transformations Moving a shape or object according to prescribed rules to a new position. USE the tracing paper provided to help you understand in the exam.

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Reflection Rotation Translation Combined Transformations Enlargement (A later presentation)

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Reflection The shape (A) is reflected in a mirror line so that the new position (shape B) is the same distance from the mirror line but the shape is reversed (mirror image). Distances from any point to the line are identical. Mirror line A B

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Axis reflections X axis reflection Y axis reflection y = –1 Reflection in line x = 2 Reflection in line y = –1 x = 2

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**Reflection on the line y = x**

Think about where the line would be! Measure from the original to the mirror line and then extend to the other side.

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Rotation The shape is rotated about a given centre by a given angle and stating whether clockwise or anticlockwise. A A B A B = 90O clockwise about the origin (0,0)

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Rotation The shape is rotated about a given centre by a given angle and stating whether clockwise or anticlockwise. A A C A C = 180O clockwise about the origin (0,0)

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Translation This means move the shape in both the ‘x’ and ‘y’ direction. Given as a vector y The “vector” given is written in a large bracket as shown below A x The translation from A to B is given by B i.e. 1 across and 6 down

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**Combined Transformations**

Two or more transformations may combine to give ‘something different’. In this case two reflections of ‘A’ can be shown to be a rotation to produce ‘C’ A C B

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**Combined Transformations**

2 Reflections = 2 Rotations = Reflection + Rotation (90) 3 c/w Reflections = This is particularly useful to remember for the exam!! 1 Rotation (180) 1 Rotation (add the angles) = Rotation (180) 1 Reflection (anti-c/w)

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Reflection symmetry If you can draw a line through a shape so that one half is the mirror image of the other then the shape has reflection or line symmetry.

Reflection symmetry If you can draw a line through a shape so that one half is the mirror image of the other then the shape has reflection or line symmetry.

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