Reflecting About Lines: Ex. 18

Topic:
Geometry

DIRECTIONS:

1) Position Wily Coyote (using points A and B) anywhere you'd like within the coordinate plane. 2) Select the REFLECT ABOUT LINE Toolbar Image tool. Then drag a rectangle around points A, B, and Wily's picture. This should cause these 3 items to become highlighted. Select the dashed line. 3) The images of these items should now appear. Please answer the questions that appear below the applet.

1.

Note the equation of the original line is . What is the image of point (a, b) under a reflection about the line ?

2.

Move the 2 orange points around to change the equation of the line to . What is the image of point (a, b) under a reflection about the line ?

Quick (Silent) Demo