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Properties of Parallelograms Worksheet

Explore and identify the key properties of parallelograms including sides, angles, and diagonals through various exercises.

Grade 8 Math GeometryProperties of Parallelograms
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.8.G.A.5

Topics

parallelogramsgeometryquadrilateralsgrade 8math
7 sections · Free to use · Printable
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Properties of Parallelograms

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following is NOT a property of a parallelogram?

a

Opposite sides are parallel.

b

Opposite sides are congruent.

c

Diagonals are congruent.

d

Opposite angles are congruent.

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

a

70°

b

110°

c

90°

d

180°

3. The diagonals of a parallelogram   each other.

4. Consecutive angles in a parallelogram are  .

5. All four sides of a parallelogram are congruent.

T

True

F

False

6. The sum of the interior angles of any parallelogram is 360°.

T

True

F

False

7. In parallelogram PQRS, PQ = 10 cm and QR = 7 cm. What is the length of RS and SP?

8. Draw a parallelogram and label its vertices A, B, C, and D. Draw its diagonals and label their intersection point E.

Use the parallelogram below to answer the following questions.

ABCDE

9. If AB = 12 units, what is the length of CD?

10. If ∠DAB = 65°, what is the measure of ∠BCD?