# Transformation geometry

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

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/transformation-geometry-15451

#### 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 ...

#### Solution Summary

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

$2.19