Reflections

The reflection of a point A over a line m is:

Examples: (instead of all the points on this face to show the reflections algebraically and arithmetically, the point (6.5,10), which is the point on the top of his head, will be used.)

F' is the reflection image over the y-axis. F'' is the reflection image over the x-axis.

ALGEBRAICALLY

reflection over the x-axis

r*x* (6.5,10) = (6.5,-10)

reflection over the y-axis

r*y* (6.5,10) = (-6.5,10)

ARITHMETICALLY

reflection over the x-axis

[[1 0] * [[6.5] = [[6.5] [0 -1]] [10]] [-10]]

reflection over the y-axis

[[-1 0] * [[6.5] = [[-6.5] [0 1]] [10]] [ 10]]

- Return to Transformations,
- Rotations
- Translations
- Scale Changes

by Sarah : turnip@alaska.net -------Last Revised 09/09/96