im.g.4.2.2.Decomposing Squares
Refer to the GeoGebra sketch of Square 1 below. 1A. What is the side length of square 1?
1B. What is the length of the diagonal?
1C. Calculate the ratio of the diagonal to the side length.
Square 1
2A. What is the side length of square 2?
2B. What is the length of the diagonal?
2C. Calculate the ratio of the diagonal to the side length.
Square 2
3A. What is the side length of square 3?
3B. What is the length of the diagonal?
3C. Calculate the ratio of the diagonal to the side length.
Square 3
4. A square has side lengths of 1 cm each. Calculate the length of the diagonal.
5. Make a conjecture.
Attribution
illustrative mathematics. geometry. unit 4. lesson 2. activity 2. Decomposing Squares.
https://im.kendallhunt.com/HS/teachers/2/4/2/index.html
Licensed under the Creative Commons Attribution 4.0 license,
https://creativecommons.org/licenses/by/4.0/