Mark M. answered • 10/24/17
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Mathematics Teacher - NCLB Highly Qualified
Draw a pair of axes.
Place a "polygon" in any quadrant.
Reflect over each axis in succession.
You should be back to starting.
Mark M.
Do you want/need a mathematical "reason" in addition to an empirical one?
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10/24/17
Trevor F.
Yes please, that would be greatly appreciated.
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10/24/17
Mark M.
For any point (x, y) in the polygon a left reflection over the y axis results in (-x, y).
A down reflection over the x axis results in (-x, -y).
A right reflection over the y axis results in (x, -y).
An up reflection over the x axis results in (x, y).
QED
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10/24/17
Trevor F.
Thank You that really helped!!!
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10/24/17
Mark M.
You are welcome!
Glad to have helped!
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10/25/17
Trevor F.
10/24/17