1. reflect shapes in a mirror line defined by an equation.
Mathematics
GCSE Topic Reminders
Learning how to …
reflect shapes in a mirror line defined by an equation.

2. three across to mirror line three across from mirror line
reflect shapes in a given mirror line …
We already know how to …
three across to mirror line
three across from mirror line

3. reflect shapes in a given mirror line …
We already know how to …

4. x = 3 x = 3 draw graphs of simple linear equations … x y (3 , 7)
We already know how to …
x = 3
x = 3
x y
(3 , 7)
(3 , 1)
(3, -5)

5. y = -5 y = -5 draw graphs of simple linear equations … x y (7 , -5)
We already know how to …
y = -5
x y
(7 , -5)
(2 , -5)
y = -5
(-3, -5)

6. x = y x = y draw graphs of simple linear equations … x y (7 , 7)
We already know how to …
x = y
x y
x = y
(7 , 7)
(2 , 2)
(-3, -3)

7. x = -y x = -y draw graphs of simple linear equations … x y (-3, 3)
We already know how to …
x = -y
x y
(-3, 3)
(2, -2)
(7, -7)
x = -y

8. x = 1 Reflect the shape marked A in the line x = 1.
x = 1 goes through (1,0) (1,4) (1,-3) etc.
Draw the line given by the equation
Don’t
assume these are mirror lines
x = 1

9. x = 1 Reflect the shape marked A in the line x = 1.
Draw the line given by the equation
x = 1
The image of each point is directly opposite the mirror line and the same distance away
Reflect each point in turn in the mirror line

10. x = 1 Reflect the shape marked A in the line x = 1.
Draw the line given by the equation
x = 1
GCSE 2 marks for correct image
(1 mark if wrong vertical mirror line used)
Reflect each point in turn in the mirror line
Join up the new points

11. Draw the image of triangle A after reflection in the line y = x
Draw the image of triangle A after reflection in the line y = x. Label the image B.
y = x goes through (0,0) (4,4) (-3,-3) etc.
Draw the line given by the equation
x = 1

12. Reflect each point in turn in the mirror line
Draw the image of triangle A after reflection in the line y = x. Label the image B.
Reflect each point in turn in the mirror line
Draw the line given by the equation
The image of each point is directly opposite the mirror line and the same distance away

13. Reflect each point in turn in the mirror line
Draw the image of triangle A after reflection in the line y = x. Label the image B.
Reflect each point in turn in the mirror line
Draw the line given by the equation
The image of each point is directly opposite the mirror line and the same distance away

14. Reflect each point in turn in the mirror line
Draw the image of triangle A after reflection in the line y = x. Label the image B.
Reflect each point in turn in the mirror line
Draw the line given by the equation
The image of each point is directly opposite the mirror line and the same distance away

15. GCSE 2 marks for correct image (1 mark if two points correct)
Draw the image of triangle A after reflection in the line y = x. Label the image B.
Reflect each point in turn in the mirror line
Draw the line given by the equation
GCSE 2 marks for correct image
(1 mark if two points correct)
Join up the new points