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Special Parallelograms Worksheet

Explore the properties of special parallelograms including rectangles, rhombi, and squares with various exercises and problems.

Grade 11 Math GeometrySpecial Parallelograms
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Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerMatchingCustom

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11

Topics

mathgeometryparallelogramsrectanglesrhombisquaresgrade 11
8 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. The diagonals of a rectangle are:

a

Perpendicular

b

Congruent

c

Bisect each other

d

All of the above

3. All rhombi are squares.

T

True

F

False

4. The diagonals of a rhombus bisect its angles.

T

True

F

False

5. A parallelogram with four right angles is called a  .

6. A   is a quadrilateral with four congruent sides.

7. In a rectangle ABCD, if AB = 8 cm and BC = 6 cm, find the length of diagonal AC.

ABCDAC8 cm6 cm

Match the property with the special parallelogram (A: Rectangle, B: Rhombus, C: Square).

8. All sides are congruent.

 

A. Rectangle

9. All angles are right angles.

 

B. Rhombus

10. Diagonals are perpendicular bisectors of each other.

 

C. Square

11. In rhombus PQRS, if m∠P = 110°, find m∠Q, m∠R, and m∠S. Explain your reasoning.

PQRS110°