# Lesson 6 Hierarchy of Quadrilaterals

• Let’s explore the hierarchy of quadrilaterals.

## Warm-up Notice and Wonder: Squares and Rhombuses

What do you notice? What do you wonder?

## Activity 1 Shapes with Toothpicks

1. Build a square with your toothpicks. How do you know it is a square?

2. Use the same four toothpicks to build this shape. What stayed the same? What changed?

3. Build a rectangle with six toothpicks. How do you know it is a rectangle?

4. Use the same six toothpicks to build this shape. What stayed the same? What changed?

1. Draw 3 different quadrilaterals on the grid, making sure at least one of them is a parallelogram.

• square

• rhombus

• rectangle

• parallelogram

3. Draw a rhombus that is not a square. Explain or show how you know it is a rhombus but not a square.

4. Draw a rhombus that is a square. Explain or show how you know it is a rhombus and a square.

5. Diego says that it is impossible to draw a square that is not a rhombus. Do you agree with him? Explain or show your reasoning.

## Problem 1

Determine if you can make each given shape so that it contains these two sides. Explain your reasoning.

• a square

• a rectangle

• a rhombus