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# Transformation geometry

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Show \$_p*\$_l*\$_p*\$_l*\$_p*\$_l*\$_p is a reflection in a line parallel to line l

note \$_p is a reflection about the line p

##### Solution Summary

This shows how to prove that a transformation is a reflection.

##### Solution Preview

Proof:
We can suppose the line l is the x-axis. For the line p, we have two cases.
Case 1: line p is parallel to line l, we can suppose p has the equation y=c. Then for any point (a,b), we have \$_l(a,b)=(a,-b) and \$_p(a,b)=(a,2c-b). Thus we ...

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