# 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/