Hierarchy of Shapes

Sergio plays a game to find a mystery shape. His clues are:

1. It has 2 pairs of parallel sides.

2. It has 2 pairs of sides of equal length.

3. It has exactly 4 right angles.

• trapezoid

• rectangle

• pentagon

• triangle

Which of the following figures has two pairs of parallel sides?

• parallelogram

• rhombus

• rectangle

• all of the above

Lilia drew some shapes. Which statement about the shapes are true?

• Shapes A and C each have one pair of parallel sides.

• Shape C has 2 pairs of perpendicular sides.

• Shape D has 3 right angles.

• Shapes B and E each have more acute angles than right angles.

What description should the students have used for Group B?

• Quadrilaterals

• Only parallel sides

• Only perpendicular sides

• Both parallel and perpendicular sides

Look at the hierarchy. Which figure can be placed below the rectangle?

c

rhombus

square

triangle

trapezoid

Tags

CCSS.MATH.CONTENT.5.G.B.3

CCSS.MATH.CONTENT.5.G.B.4

Look at the hierarchy. Which figure can be placed below the rectangle in this hierarchy?

• rhombus

• trapezoid

• square

• triangle

Which diagram accurately classifies quadrilaterals in a hierarchy based on properties?

• 
• 
• 
• 

A student is creating a hierarchy diagram, as shown. Unfortunately, the teacher says the diagram is incorrect. Relabel the diagram correctly.

b

c

d

e

a

square

rhombus

polygon

quadrilateral

rectangle

Tags

CCSS.MATH.CONTENT.5.G.B.4

Label the hierarchy of quadrilaterals. The least specific names are at the top, the most specific names are towards the bottom.

a

b

c

d

e

f

g

Quadrilaterals

Squares

Trapezoids

Isosceles Trapezoids

Parallelograms

Rectangles

Rhombi

In a flow chart, all shapes to the _______ are subcategories of shapes to the ______.

• right, left

• left, right