# Writing a translation and rotation as product of two reflections [closed]

Let T be the translation by $(4,4)$ and $R$ be rotation by $45^\circ$ about orgin counterclockwise. let $F=R$ composed with $T$

1. Find two reflections $1,2$ such that $F=1\circ2$, that is equals the same as the translation then rotation.

2. find a single rotation that also is $= F$. this will be some point other than orgin! thanks for help. I have some ideas but cant put all the way together.

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## closed as off-topic by Chris Eagle, Amzoti, Thomas Andrews, Sasha, AtaraxiaAug 3 '13 at 4:26

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If this is a homework problem, it would help if you would tag it as such. Also, as it's a linear-algebra problem, that tag would be good too. –  Mark S. Nov 14 '12 at 14:51
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