Copy of G.1.7.2 It’s Cool to Be Square
Use straightedge and compass tools to construct a square with segment AB as one of the sides.
Here is square ABCD with diagonal BD drawn:
- Construct a circle centered at A with radius AD .
- Construct a circle C centered at with radius CD .
- Draw the diagonal AC and write a conjecture about the relationship between the diagonals BD and AC .
- Label the intersection of the diagonals as point E and construct a circle centered at E with radius EB.
Use your conjecture and straightedge and compass tools to construct a square inscribed in a circle.
IM G Unit 1 Lesson 7 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/1/7/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.