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Properties of Rhombuses Worksheet

Explore the key properties of rhombuses, including angle relationships, diagonal characteristics, and area calculations, with this comprehensive Grade 11 math worksheet.

Grade 11 Math GeometryProperties of Rhombuses
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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.GPE.B.4
7 sections · Free to use · Printable
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Properties of Rhombuses

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

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

a

All four sides are congruent.

b

The diagonals are congruent.

c

The diagonals bisect each other.

d

The diagonals are perpendicular.

2. In a rhombus, if one angle measures 70°, what are the measures of the adjacent angles?

a

70° and 70°

b

110° and 110°

c

70° and 110°

d

90° and 90°

3. The diagonals of a rhombus are   bisectors of each other.

4. A rhombus is a quadrilateral with all four sides  .

5. Given a rhombus with diagonals of lengths 10 cm and 24 cm, find the perimeter of the rhombus.

512

6. Explain why every square is a rhombus, but not every rhombus is a square.

7. All four angles of a rhombus are right angles.

T

True

F

False

8. The diagonals of a rhombus bisect the angles of the rhombus.

T

True

F

False

9. Plot the points A(0,3), B(4,0), C(0,-3), and D(-4,0) on the coordinate plane. Connect the points in order. What geometric shape is formed? Justify your answer using properties of rhombuses.

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