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Special Parallelograms Worksheet

Explore the properties of special parallelograms including rectangles, rhombuses, and squares with various problem types.

Grade 12 Math GeometrySpecial Parallelograms
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort Answer

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.GPE.B.4
6 sections · Free to use · Printable
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Special 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 for full credit.

1. Which of the following statements is always true?

a

A rectangle is a rhombus.

b

A square is a rectangle.

c

A parallelogram is a square.

d

A rhombus is a square.

2. In a rhombus, the diagonals are always:

a

Congruent

b

Parallel

c

Perpendicular

d

Bisect each other

1. A quadrilateral with four right angles is called a  .

2. A   is a parallelogram with all four sides congruent.

3. The diagonals of a rectangle are  .

1. All squares are rhombuses.

T

True

F

False

2. A rhombus has four right angles.

T

True

F

False

1. A parallelogram has vertices at A(0,0), B(5,0), C(7,3), and D(2,3). Determine if it is a rectangle, rhombus, or square. Justify your answer.

0246810246810

2. The diagonals of a rhombus are 10 cm and 24 cm. Find the perimeter of the rhombus.

10 cm24 cm