# Lesson Worksheet: Properties of Parallelograms

In this worksheet, we will practice determining whether a quadrilateral is a parallelogram or not and using the properties of parallelograms to find unknown angles or lengths.

Q1:

True or False: In a parallelogram, opposite sides are parallel and equal in length.

• ATrue
• BFalse

Q2:

True or False: All parallelograms are regular polygons.

• ATrue
• BFalse

Q3:

Which of the following statements correctly describes a property of the given shape? • AIt is equilateral.
• BIt contains 2 pairs of perpendicular sides.
• CIt has 4 angles equal in measure.
• DIt has 2 sets of perpendicular and parallel sides.
• EIt contains 2 pairs of parallel sides.

Q4:

Find the lengths of and . • A,
• B,
• C,
• D,

Q5:

In the figure below, given that is a parallelogram, determine . Q6:

In the figure below, given that is a parallelogram, find . Q7:

is a parallelogram such that , , and . Determine the coordinates of vertex .

• A
• B
• C
• D
• E

Q8:

Which of the following statements must be true about a parallelogram?

• AIt has one pair of parallel sides.
• BIt has four congruent sides.
• CIt has four sides of equal length.
• DIt has four right angles.
• EIt has two pairs of parallel opposite sides.

Q9:

What is the sum of the measures of any two consecutive angles in a parallelogram?

Q10:

In the following figure is a parallelogram. What is the measure of ? 