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?

toothpicks forming 2 shapes. left, square. right, rhombus.

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?

    photograph

  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?

    photograph

Activity 2 Three Quadrilaterals

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

    blank grid

  2. For each of your quadrilaterals determine if it is a:

    • square

    • rhombus

    • rectangle

    • parallelogram

    Explain or show your reasoning.

  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.

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

2 line segments of equal length on grid. do not meet at a right angle.