Explore BrainMass

Explore BrainMass

    Transformation geometry

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddf
    https://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

    ADVERTISEMENT