We included **HMH Into Math Grade 5 Answer Key PDF** **Module 20 Lesson 4 Use Venn Diagrams to Classify Two-Dimensional Figures **to make students experts in learning maths.

## HMH Into Math Grade 5 Module 20 Lesson 4 Answer Key Use Venn Diagrams to Classify Two-Dimensional Figures

I Can compare and classify two-dimensional figures using Venn diagrams.

**Spark Your Learning**

A mosaic is a piece of artwork made with glass, stone, or ceramic tiles. Mosaic tiles come in many shapes.

Draw a Venn diagram to represent the relationships among these polygons. Explain your diagram.

Answer:

**Turn and Talk** What attributes did you use to relate the polygons in each group? Explain your reasoning.

**Build Understanding**

Question 1.

Lila is designing a video game in which the players arrange quadrilaterals. She defines a trapezoid as having exactly one pair of parallel sides.

A. Complete the Venn diagram to show how squares, rectangles, and rhombuses are related to parallelograms and trapezoids. Label your figures.

Answer:

B. Explain how the diagram would change when a trapezoid is defined as a quadrilateral having at least one pair of parallel sides.

Answer: If a trapezoid has one set of parallel sides then it becomes a type of parallelogram.

**Turn and Talk** Based on your Venn diagram, how does the definition of a trapezoid affect how parallelograms and subcategories of parallelograms are classified?

**Step It Out**

Question 2.

Venn diagrams can be used to sort two-dimensional figures by their shared attributes. Sort the polygons into the diagram based on the categories labeled for each circle.

Classify the figure. Identify whether the figure:

- shares all three attributes. Draw it in the middle section where all three circles intersect.
- shares two attributes. Draw it in the section where the two circles intersect.
- shares only one attribute. Draw it in the larger section of the circle.
- does not share any of the attributes. Draw it outside of the circles.

Answer:

**Check Understanding**

Question 1.

Randi made a Venn diagram where a circle representing rhombuses is inside a circle representing trapezoids. What other figures belong in the circle with the trapezoids? Explain.

Answer:

**On Your Own**

Question 2.

**Use Structure** Gina is using blocks that are squares and trapezoids to build a bridge. Her teacher comments that she likes how Gina is using all trapezoids to build her bridge. Explain what definition the teacher is using to define a trapezoid.

Answer:

A trapezoid is a flat shape with four straight sides. Two of the sides run parallel with one another and are opposite one another. The trapezoid doesn’t have to be a small figure, as the lengths of the sides and the angles can vary greatly. So, these properties are helpful to build a bridge.

**Reason** Write always, sometimes, or never to complete the statement given the definition of trapezoid represented in this Venn diagram for 3-4.

Question 3.

Trapezoids are _________ rhombuses.

Answer: Trapezoids are sometimes rhombuses.

Question 4.

Parallelograms are __________ trapezoids.

Answer: Parallelograms are always trapezoids.

Question 5.

**Use Tools** Desi makes this Venn diagram to show how polygons are related.

- Label the circles for parallelograms, isosceles triangles, and regular polygons.
- Draw a square, regular pentagon, right isosceles triangle, equilateral triangle, and rhombus in the diagram.

Answer:

**I’m in a Learning Mindset!**

How do I break down the task from Step It Out into smaller steps?