reflect shapes in a mirror line defined by an equation.

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Presentation transcript:

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.

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

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

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)

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)

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)

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

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

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

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

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

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

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

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

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