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Title: Transformations | Edexcel Mathematics - Geometry and Measures
Description: GCSE Mathematics - Year 10 transformations; Enlargements - fractional and negative Translations - described as 2d vectors Reflections and Rotations Invariance - combinations of rotations, reflections, and translations
Description: GCSE Mathematics - Year 10 transformations; Enlargements - fractional and negative Translations - described as 2d vectors Reflections and Rotations Invariance - combinations of rotations, reflections, and translations
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INTERPRET AND USE FRACTIONAL SCALE FACTORS
FOR ENLARGEMENTS
★ Enlarging a shape changes its size and is an example of a
transformation
Triangle ABC has been enlarged by a scale factor of
3 about the centre of enlargement O
...
A scale factor of ½ means triangle
A’B’C’s sides will be half as long as the
original triangle
...
The lengths in rectangle A'B'C'D'
are ½ times as long as rectangle
ABCD
...
DESCRIBE
TRANSLATIONS AS 2D VECTORS
A translation a type of t ransformation where a shape is moved up, down,
left or right
...
★ Every point in the shape is translated the same distance in the same
direction
...
★ Vectors are given in the form
○
is the movement horizontally
○
is the movement vertically
means translate the shape 4 squares
to the right and 3 squares down
...
DESCRIBE THE CHANGES AND INVARIANCE ACHIEVED
BY COMBINATIONS OF ROTATIONS, REFLECTIONS AND
TRANSLATIONS
Invariant - a property which is unchanged during a transformation
★ Reflections, rotations, and translations all have invariance
The answer is B because when Shape P is rotated by 180°, centre (2, 0), it still
has the point (2, 0)
...
Hence, the
invariant points must have y-coordinate = 0
...
REFLECTIONS
A shape can be r eflected across a
line of reflection to create an
image
...
ROTATIONS
rotation - turns a shape around a fixed point called the centre of rotation
...
Title: Transformations | Edexcel Mathematics - Geometry and Measures
Description: GCSE Mathematics - Year 10 transformations; Enlargements - fractional and negative Translations - described as 2d vectors Reflections and Rotations Invariance - combinations of rotations, reflections, and translations
Description: GCSE Mathematics - Year 10 transformations; Enlargements - fractional and negative Translations - described as 2d vectors Reflections and Rotations Invariance - combinations of rotations, reflections, and translations