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.


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

  • ATrue
  • BFalse


True or False: All parallelograms are regular polygons.

  • ATrue
  • BFalse


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.


Find the lengths of 𝐶𝐷 and 𝐷𝐴.

  • A𝐶𝐷=15cm, 𝐷𝐴=13cm
  • B𝐶𝐷=13cm, 𝐷𝐴=15cm
  • C𝐶𝐷=15cm, 𝐷𝐴=28cm
  • D𝐶𝐷=28cm, 𝐷𝐴=13cm


In the figure below, given that 𝐴𝐵𝐶𝐷 is a parallelogram, determine 𝑚𝐻𝐷𝐶.


In the figure below, given that 𝐴𝐵𝐶𝐷 is a parallelogram, find 𝑚𝐴.


𝐴𝐵𝐶𝐷 is a parallelogram such that 𝐴(3,4), 𝐵(0,4), and 𝐶(2,2). Determine the coordinates of vertex 𝐷.

  • A(7,3)
  • B(6,1)
  • C(1,6)
  • D(1,2)
  • E(5,2)


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.


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


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

Practice Means Progress

Download the Nagwa Practice app to access 124 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.