A parallelogram is a quadrilateral with pairs of parallel sides.
Rectangles and squares are quadrilaterals. Rectangles and squares have pairs of parallel sides.
So, rectangles and squares are parallelograms!
Practice set 2: Identifying parallelograms
Problem 2A
Which TWO of the following shapes are parallelograms?
What is a trapezoid?
A trapezoid is a quadrilateral with exactly .
Some sources define a trapezoid as a quadrilateral with exactly one pair of parallel sides. Other sources define a trapezoid as a quadrilateral with at least one pair of parallel sides.
All Khan Academy questions will use the first definition: a quadrilateral with exactly one pair of parallel sides.
Problem 3A
Which TWO of the following shapes are trapezoids?
What is a rectangle?
A rectangle is a quadrilateral with right angles.
Yes! A square is a rectangle.
A rectangle is a quadrilateral with four right angles.
Squares are quadrilaterals. Squares have four right angles.
So, squares are rectangles!
Problem 4A
Which TWO of the following shapes are rectangles?
What is a rhombus?
A rhombus is a quadrilateral with equal sides.
Yes! A square is a rhombus.
A rhombus is a quadrilateral with all sides of equal length.
Squares are quadrilaterals. Squares have all sides of equal length.
So, squares are rhombuses!
Problem 5A
Which TWO of the following shapes are rhombuses?
What is a square?
A square is a quadrilateral with equal sides and right angles.
Problem 6A
Which TWO of the following shapes are squares?
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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