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Quadrilaterals review

Review the following quadrilaterals: parallelogram, trapezoid, rhombus, rectangle, and square.  Then, try some practice problems.

Quadrilateral Summary

NameDefinitionExample
Quadrilateral4 sided figure
Parallelogram2 pairs of parallel sides
TrapezoidExactly 1 pair of parallel sides
Rectangle4 right angles
Rhombus4 equal sides
Square4 equal sides and 4 right angles
To learn more about each shape and practice identifying them, keep reading!

What is a quadrilateral?

A quadrilateral is a 4 sided closed figure.
These figures are quadrilaterals:
A shape with four sides. The shape has one set of parallel sides and does not have any right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and does not have any right angles.
These figures are NOT quadrilaterals:
An open shape with five sides.
A shape with five sides of equal length.
The start color #e84d39, start text, f, i, r, s, t, end text, end color #e84d39 figure is not closed.
The start color #e07d10, start text, s, e, c, o, n, d, end text, end color #e07d10 figure has 5 sides

Practice set 1: Identifying quadrilaterals

Problem 1A
Which TWO of the following shapes are quadrilaterals?
Choose all answers that apply:
Choose all answers that apply:

Want to learn more about quadrilaterals? Check out these videos:
Types of quadrilaterals
Quadrilateral properties
Classifying quadrilaterals

What is a parallelogram?

A parallelogram is a quadrilateral with 2 pairs of parallel sides. In these figures, sides of the same color are parallel to each other.
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.

Practice set 2: Identifying parallelograms

Problem 2A
Which TWO of the following shapes are parallelograms?
Choose all answers that apply:
Choose all answers that apply:

What is a trapezoid?

A trapezoid is a quadrilateral with exactly start color #1fab54, 1, start text, space, p, a, i, r, space, o, f, space, p, a, r, a, l, l, e, l, space, s, i, d, e, s, end text, end color #1fab54.
A shape with four sides. The shape has one set of parallel sides and does not have right angles.
A shape with four sides. The shape has one set of parallel sides and has two right angles.
Problem 3A
Which TWO of the following shapes are trapezoids?
Choose all answers that apply:
Choose all answers that apply:

What is a rectangle?

A rectangle is a quadrilateral with 4 right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
Problem 4A
Which TWO of the following shapes are rectangles?
Choose all answers that apply:
Choose all answers that apply:

What is a rhombus?

A rhombus is a quadrilateral with 4 equal sides.
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
Problem 5A
Which TWO of the following shapes are rhombuses?
Choose all answers that apply:
Choose all answers that apply:

What is a square?

A square is a quadrilateral with 4 equal sides and 4 right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
Problem 6A
Which TWO of the following shapes are squares?
Choose all answers that apply:
Choose all answers that apply:

Practice set 7: Pulling it all together

Problem 7A
All parallelograms have opposite sides that are equal in length and parallel.
Which of these quadrilaterals are parallelograms?
The matching arrow labels indicate that two opposite sides are parallel.
 
Parallelogram
Not parallelogram

Want to try more problems like this? Check out these exercises:
Identify quadrilaterals
Quadrilateral types
Categorize quadrilaterals

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