REFLECTING ON REFLECTING #1

Section III

10. Place your mirror so it is centered at the dot at the end of the line segment.

• Rotate the mirror about its center and watch the image of the shark 'swim' around. You will need to change your position to follow the shark's image.

• As you rotate the mirror one half time, how many "laps" does the shark make?

• As you rotate the mirror one full time, how many "laps" does the shark make?

• What conclusion can you make about the number of laps?

• Try tilting the mirror at various angles in order to "bend" the edge.

• Can you make the edge of the surface appear to bend up and down, front and back?

• At what angle to the edge must the mirror make in order for the edge to appear to make a right angle?

• What conclusion can you make about the angle measures?

Homework:

• Draw a point A on a piece of scrap paper. Draw three points B, C, D and three lines of reflection b, c, d such that point A is the image of B reflected over b, C reflected over c, and D reflected over d.

• Encode a message that can only be read in a mirror.