1.7.3 Trying to Circle a Square
Instructions
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.
Write a conjecture about the relationship between the diagonals BD and AC.
d. Label the intersection of the diagonals as point E.
(To do this, select the point and use the Style Bar to rename it. The Style Bar has the three lines with
the Circle and Triangle. Click on the AA button to name the point).
Then construct a circle with center at E and radius EB.
How are the diagonals related to the circle?
Use the knowledge you gained above and compass and straightedge moves to construct a square inscribed in a circle. Note: "inscribed" means the square will fit perfectly inside the circle.
Attribution
illustrative mathematics. geometry. unit 1. section 7. activity 3.
"Trying to Circle a Square"
https://im.kendallhunt.com/HS/teachers/2/1/7/index.html
Licensed under the Creative Commons Attribution 4.0 license
https://creativecommons.org/licenses/by/4.0/