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Hierarchy of Quadrilaterals

Total questions: 20

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Select ALL the properties that both rectangles and parallelograms share.

a)

4 sides

b)

4 right angles

c)

2 pairs of parallel sides

d)

2 pairs of sides with equal length

e)

2 acute angles and 2 obtuse angles

2.

Using this hierarchy of two dimensional figures, determine which of the following labels can be given to the shape below. Select three that apply.

a)

paralellogram

b)

rectangle

c)

quadrilateral

d)

polygon

e)

trapezoid

3.

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

a)
b)
c)
d)
4.

Gabe creates the hierarchy of shapes in the diagram. Mrs. Panera tells Gabe he makes mistake.


What can Gabe do to fix his mistake?

a)

Switch square with rectangle.

b)

Switch square with rhombus.

c)

Switch rhombus with rectangle.

d)

Switch rhombus with parallelogram.

5.

Study the hierarchy of shapes.

Which shape can be used to complete the hierarchy correctly?

a)

kite

b)

square

c)

parallelogram

d)

trapezoid

6.

Travis draws a hierarchy of shapes. Josie studies the hierarchy and tells Travis he made a mistake.


About which mistake could Josie tell Travis?

a)

A kite is not always a trapezoid.

b)

A parallelogram is not always a quadrilateral.

c)

A rectangle is not always a parallelogram.

d)

A square is not always a rectangle.

7.

John is given the hierarchy diagram shown.

Which figure would complete this hierarchy diagram?

a)

Triangles

b)

Quadrilaterals

c)

Circles

d)

Squares

8.

Susan is given the hierarchy diagram shown.

Which figure would complete this diagram?

a)

Circles

b)

Ovals

c)

Parallelograms

d)

Triangles

9.

Which figure could complete the hierarchy diagram?

a)

Kite

b)

Square

c)

Trapezoid

d)

Triangle

10.

Kirah is playing a guessing game with 48 her classmate. The clues that she gives are as follows:


• My polygon is a quadrilateral.

• My polygon has opposite sides that are parallel.

• My polygon has four right angles.

• Who am I?


Select all that apply.

a)

square

b)

rhombus

c)

trapezoid

d)

rectangle

11.

Is he correct?

a)

Yes

b)

No

12.

Which set of attributes applies to a parallelogram, rectangle, rhombus, and square?

a)

exactly 2 right angles and 4 sides

b)

exactly 4 right angles and 4 sides

c)

4 sides and exactly 1 set of parallel lines

d)

4 sides and exactly 2 sets of parallel lines

13.

A rhombus and a square are both quadrilaterals. What fact is only true for squares?

a)

A square always has 4 congruent sides, and a rhombus does not.

b)

A square always has 4 parallel sides, and a rhombus does not.

c)

A square always has 4 right angles, and a rhombus does not.

d)

A square always has 4 sides, and a rhombus does not.

14.

Which statement describes all rhombuses?

a)

a polygon with three sides

b)

a polygon with exactly 1 pair of parallel side3s

c)

a quadrilateral with 4 sides of equal length

d)

a parallelogram with 4 right angles

15.

Elizabeth is making a mobile that lists quadrilaterals. What is the name of the subset of quadrilaterals missing from Elizabeth’s mobile?

a)

Hexagon

b)

Triangle

c)

Parallelogram

d)

Triangle

16.

Jan drew a quadrilateral with TWO pairs of parallel sides. Choose ALL statements that are true?

a)

It could be a rectangle.

b)

It could be a square.

c)

It could be a trapezoid.

d)

It could be a parallelogram.

17.
How are a parallelogram and a trapezoid different?
a)
A trapezoid has 4 right angles, but a parallelogram doesn’t need to have 4
right angles.
b)
A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
c)
A parallelogram
right angles.
d)
A parallelogram has only 1 pair of parallel sides, but a trapezoid.
18.
Name that shape. 
a)
quadrilateral, parallelogram, rectangle, rhombus, square
b)
square
c)
quadrilateral, parallelogram, square
d)
quadrilateral, parallelogram, rhombus, square
19.

Select ALL the properties that both rectangles and parallelograms share.

a)

4 sides

b)

4 right angles

c)

2 pairs of parallel sides

d)

2 pairs of sides with equal length

e)

2 acute angles and 2 obtuse angles

20.

A square can also be classified as which of the following? Choose ALL that apply.

a)

parallelogram

b)

rectangle

c)

trapezoid

d)

rhombus

e)

quadrilateral