Pythagorean Theorem. Let triangle ABC be a right triangle with sides of length a, b, and c. Assume further that the side opposite the right angle has length c. Then a2 +62 = c2.

Let triangle ABC be given by coordinates: A = (0,0), B = (2,0), and C = (0,1). Complete the following; using a new drawing of ABC each time:

(a) Draw the image of the triangle ABC after it is reflected about the line where I=0.

(b) Draw the image of the triangle ABC after it is reflected about the line where x = 4.

(c) Draw the image of the triangle ABC after it is reflected about the line where x = -3.

(d) Draw the image of the triangle ABC after it is reflected about the line where y = 2. (The line y = 2 is a horizontal line, where the y-coordinates of the points on the line are always equal to 2.)

(e) Draw the image of the triangle ABC after it is reflected about the line where y=-6.