Reflection
Flip it or find a mirror image
What does it mean to rotate a shape?
To spin it or turn it round
What does it mean to enlarge a shape?
To make it bigger or smaller
What does it mean to translate a shape?
To move it
What kind of paper can you ask for in your exam to help you with transformations?
Tracing paper
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
(-3, -2)
Why does a 180 degree rotation not need a direction?
180 degrees clockwise is the same as 180 degrees anticlockwise
What is a scale factor?
The number we use to work out how much bigger or smaller the shape should get
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up
(7, 16)
What does congruent mean?
The same
Is the line y=3 horizontal or vertical?
Horizontal
What three pieces of information do we need to rotate a shape?
Centre of rotation, direction and angle
What does a scale factor look like when we make a shape smaller?
Fraction eg 1/2
What is a column vector?
A column vector has two numbers in brackets. The top number tells us how far left/right to move. The bottom number tells us how far up/down to move.
Which translation does not result in a congruent shape?
Enlargement
A point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?
(4, -3)
Rotate the point (6, -1) 90 degress anticlockwise about the origin.
(1,6)
What does a negative scale factor do?
Flips the shape
A triangle has corners (0,3), (6,4) and (3,9).
What are the new coordinates after a translation of 6 units to the right and 4 units down?
(6,1), (12,0) and (9,5)
Shape A (-1,1), (-3,2), (-1,4) is mapped onto shape B (1,1), (3,2), (1,4). Describe the transformation.
Reflection in line x=0
A rectangle has corners (5,5), (5,8), (8,8), and (8,5). What are the new coordinates once the shape has been reflected in the line y=x?
(5,5), (8,5), (8,8), (5,8)
A triangle has corners at (5,6), (7,9) and (1,2). What are the new coordinates after a rotation of 180ยบ about the origin?
(-5,-6), (-7,-9), (-1,-2)
A triangle has corners (1,0), (3,0) and (3,3). Enlarge the triangle by SF 3 and centre (0,0).
(3,0), (9,0) and (9,9)
Shape A has corners (2,-1), (5,-1), (3,-3), (4,-3). Translate A by the vector (-1, -3)
(1,-4), (4,-4), (2,-6), (3,-6)
Shape A (-1,1), (-3,2), (-1,4) is mapped onto shape B (5,3), (3,4), (5,6). Describe the transformation.
Translation 6 to the right and 2 up