Unit 1: 7.3 Trying to Circle a Square

1. Here is square ABCD with diagonal BD drawn:

a. Construct a circle centered at A with radius AD. b. Construct a circle centered at C with radius CD. c. Draw the diagonal AC and write a conjecture about the relationship between the diagonals BD and AC. d. Label the intersection of the diagonals as point E and construct a circle centered at E with radius EB.

How are the diagonals of the square related to your circle centered at E with radius EB?

2. Use your conjecture about the diagonals of a square to help you construct a square inscribed in a circle.