# 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

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

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

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

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

## Activity 2 Three Quadrilaterals

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

For each of your quadrilaterals determine if it is a:

square

rhombus

rectangle

parallelogram

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

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

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.

## Practice Problem

## 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