We included HMH Into Math Grade 4 Answer Key PDF Module 17 Lesson 4 Identify and Classify Quadrilaterals to make students experts in learning maths.

I Can identity trapezoids, parallelograms, rectangles, rhombuses, and squares.

Step It Out

Question 1.
The Space Shuttle thermal protection system ¡s a barrier of tiles made up of quadrilaterals. This barrier protects the shuttle from the heat and cold of space. How can you identify and classify quadrilaterals like the ones used on the shuttle?

A quadrilateral is a polygon with four sides and four angles.

A. What are different ways you can name this quadrilateral?
We can name this as rhombus as it has four equal sides and no perpendicular angles.

B. Use the directions below to mark the quadrilaterals. Assume that the line segments that appear to be parallel are parallel.

Question 2.
Complete the definition for the quadrilateral.

Some quadrilaterals can be classified in more than one way.

Question 3.
Write rectangles, squares, parallelograms, and rhombuses in the Venn diagram. Use each category one time.

Explanation:
Of the given quadrilaterals rectangle and parallelogram have two pairs of equal sides and parallel sides. Square and rhombus have all equal sides. So, rectangle and parallelogram belongs to one category and square and rhombus belongs to another category.

Turn and Talk Where would you place trapezoids in this Venn diagram based on each definition? Explain.

Trapezoid can be placed in the intersection as it has a pair of parallel sides and a pair of equal sides.

Check Understanding

Question 1.
Identify and classify the quadrilateral. Then explain why you chose that category.

Explanation:
As we can see the angle between two sides is not right angle. So, this quadrilateral can be rhombus as it has all sides equal.

Question 2.
STEM For the outlined Space Shuttle tiles, classify each figure in as many ways as possible. Write quadrilateral, rectangle, square, parallelogram, rhombus, or trapezoid,
Define a trapezoid as having at least 1 pair of parallel sides.

Tile 1: __________
Tile 2: ___________
Tile 1: Square
Tile 2: Rectangle
Explanation:
As we can see all sides are equal and its sides are making four right angles. So, the tile 1 is a square.
As we can see two pairs of sides are equal and parallel and all sides are making four right angles. So, the tile 2 is rectangle.

Question 3.
Construct Arguments Skye says that all parallelograms are trapezoids. Explain why you can agree and disagree.
All parallelograms are NOT trapezoids. So, I disagree with Skye statement.
Explanation:
Trapezoids have only one pair of parallel sides and one pair of equal sides. But a parallelogram will have two pairs of parallel sides and two pairs of equal sides.

Reason Cross out the figure that does not belong. Explain why.

Question 4.

Explanation:
Figure 1 doesn’t belongs in the above image. Figure 1 is a square having four right angles remaining three figures doesn’t have right angles.

Question 5.
Can a rhombus be a square?
Yes, a rhombus be a square.
Explanation:
All sides of a rhombus are equal. If all angles in a rhombus are right angles, then it will become a square.

Question 6.
Construct Arguments Are all rhombuses squares? Why or why not?
No, all rhombuses are not squares.
Explanation:
Only rhombuses which are having all angles as right angles can only be considered as squares.

Question 7.
Open Ended Write a riddle about a quadrilateral. Give at least three clues that will help identify the quadrilateral.