Reflections

When you look in the mirror, what do you see? A reflection of yourself! Everything is the same, except ‘flipped around’.

We can also do the same with points on a number plane. Unlike rotations and translations where we need a few parameters to describe the transformation, reflections only require one piece of information:

  • The line of reflection, aka the mirror line

Imagine the mirror line as an actual mirror placed on your sheet. Where would the reflected object appear to be?

An arrow is placed above a grid reference and a vertical plane mirror M is  placed on the grid. The diagrams show the image of the grid reference only.  Complete the diagrams

Obviously, you won’t have an actual mirror to use, so a bit of imagination must be used. There are four mirror line cases that we will focus on:

  • the x and y-axes
  • lines parallel to the x and y-axes
  • the lines y=x and y=-x

Click here to view the Classkick worked example.

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