When a shape is rotated, it must be rotated over a line.
<em>The square must be reflected over line </em><em>, for it to be mapped onto itself.</em>
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<u>The points are given as:</u>
To map the square onto itself, it must be reflected over its diagonal
The diagonals of the square are: AC and BD
<u>Using AC, we have:</u>
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Start by calculating the slope (m)
So, we have:
The equation is then calculated as:
This gives:
Rewrite as:
So, the square must be reflected over line , for it to be mapped onto itself.
See attachment for square ABCD and its line of reflection.
Read more about reflections at:
