I am wondering what does it mean if I am asked to explain something geometrically? This is the problem I have to solve: In Dn explain geometrically why a reflection followed by a reflection must be a rotation. I don't necessarily want a solution to the question, as I want to think some more about it, but rather what should I be thinking as far as how I'm going to "explain my answer geometrically". What does that mean in terms of how I'm going to express my answer. So far I said that if the second reflection is the same as the first reflection, then you have the original figure back, and so that can be considered a rotation of 0 degrees. Is that a geometric explanation? Or does there need to be something else? I know I still need to say what happens if the second reflection is different from the first.
I am wondering what does it mean if I am asked to explain something geometrically? This is the problem I have to solve:
In Dn explain geometrically why a reflection followed by a reflection must be a rotation.
I don't necessarily want a solution to the question, as I want to think some more about it, but rather what should I be thinking as far as how I'm going to "explain my answer geometrically". What does that mean in terms of how I'm going to express my answer. So far I said that if the second reflection is the same as the first reflection, then you have the original figure back, and so that can be considered a rotation of 0 degrees. Is that a geometric explanation? Or does there need to be something else? I know I still need to say what happens if the second reflection is different from the first.
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