Properties of Parallelograms Worksheet
Explore and apply the fundamental properties of parallelograms including side lengths, angles, and diagonals at a Grade 9 level.
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Topics
Properties of Parallelograms
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is always true for a parallelogram?
All sides are congruent.
Diagonals are perpendicular.
Opposite angles are congruent.
All angles are right angles.
2. In parallelogram ABCD, if ∠A = 70°, what is the measure of ∠B?
70°
110°
90°
180°
3. In a parallelogram, opposite sides are and .
4. The diagonals of a parallelogram each other.
5. Consider the parallelogram below. If AB = 8 cm and BC = 5 cm, what are the lengths of CD and AD?
CD =
AD =
6. If the diagonals of a quadrilateral bisect each other, what type of quadrilateral is it?
7. All rectangles are parallelograms.
True
False
8. The consecutive angles of a parallelogram are always congruent.
True
False
9. In parallelogram EFGH, the measure of angle E is (3x + 10)° and the measure of angle F is (2x + 40)°. Find the value of x and the measure of each angle in the parallelogram.
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