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.[br]b. Construct a circle centered at C with radius CD.[br]c. Draw the diagonal AC and write a conjecture about the relationship between the diagonals BD and AC.[br]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.
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Information: Unit 1: 7.3 Trying to Circle a Square