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Properties of Rhombi Worksheet

Explore the key properties of rhombi, including side lengths, angles, diagonals, and area calculations, with this Grade 9 geometry worksheet.

Grade 9 Math GeometryProperties of Rhombi
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Includes

2 Short AnswerTrue / FalseFill in the BlanksMultiple ChoiceCustom

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.GPE.B.7
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Properties of Rhombi

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What are the defining characteristics of a rhombus?

2. All rhombi are squares.

T

True

F

False

3. The diagonals of a rhombus bisect each other at right angles.

T

True

F

False

4. In a rhombus, all four sides are   in length.

5. The consecutive angles of a rhombus are  .

6. If the perimeter of a rhombus is 48 cm, what is the length of one side?

a

12 cm

b

24 cm

c

6 cm

d

48 cm

7. Which of the following statements is NOT always true for a rhombus?

a

All angles are right angles.

b

Opposite angles are equal.

c

Diagonals are perpendicular.

d

All sides are equal.

8. A rhombus has diagonals of length 10 cm and 24 cm. Calculate the area of the rhombus.

9. In the rhombus below, if angle ABC is 110 degrees, what is the measure of angle BCD?

ABCD110°