G.1.7.3 Trying to Circle a Square

Instructions

1. Here is square ABCD with diagonal BD drawn:[br][br] a. Construct a circle centered at A with radius AD.[br][br] b. Construct a circle centered at C with radius CD.[br][br] 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. [br] (To do this, select the point and use the Style Bar to rename it.) [br][br] 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.[br]"Trying to Circle a Square"[br][url=https://im.kendallhunt.com/HS/teachers/2/1/7/index.html]https://im.kendallhunt.com/HS/teachers/2/1/7/index.html[br][/url]Licensed under the Creative Commons Attribution 4.0 license[br][url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url]

G.1.7.3 Trying to Circle a Square

Instructions

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

Information: G.1.7.3 Trying to Circle a Square