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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 12 level.

Grade 12 Math GeometryProperties of Parallelograms
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

parallelogramsgeometryquadrilateralsgrade 12
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 NOT always true for a parallelogram?

a

Opposite sides are congruent.

b

Opposite angles are congruent.

c

Diagonals are congruent.

d

Consecutive angles are supplementary.

2. The diagonals of a parallelogram   each other.

3. If one angle of a parallelogram is 90 degrees, then the parallelogram is a  .

4. In parallelogram ABCD, if AB = 5x - 3 and CD = 2x + 9, find the length of AB.

ABCD5x-32x+9

5. All rhombuses are parallelograms.

T

True

F

False

6. A square is a type of parallelogram.

T

True

F

False

7. The perimeter of a parallelogram is 54 cm. If one side is 5 cm longer than the other, find the lengths of the sides of the parallelogram.