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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

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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