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Properties of Parallelograms Worksheet

Explore and apply the fundamental properties of parallelograms including side lengths, angles, and diagonals at a Grade 9 level.

Grade 9 Math GeometryProperties of Parallelograms
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

parallelogramsgeometryquadrilateralsmathgrade 9
7 sections · Free to use · Printable
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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?

a

All sides are congruent.

b

Diagonals are perpendicular.

c

Opposite angles are congruent.

d

All angles are right angles.

2. In parallelogram ABCD, if ∠A = 70°, what is the measure of ∠B?

a

70°

b

110°

c

90°

d

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?

ABCD8 cm5 cm

CD =  

AD =  

6. If the diagonals of a quadrilateral bisect each other, what type of quadrilateral is it?

7. All rectangles are parallelograms.

T

True

F

False

8. The consecutive angles of a parallelogram are always congruent.

T

True

F

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.