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Properties of Rhombuses Worksheet

Explore and apply the key properties of rhombuses, including side lengths, angles, and diagonals, through various problem-solving exercises.

Grade 10 Math GeometryProperties of Rhombuses
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

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

Topics

rhombusgeometryquadrilateralgrade 10math
8 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 your work for full credit.

1. Which of the following statements is always true for a rhombus?

a

All angles are right angles.

b

Diagonals are congruent.

c

Diagonals are perpendicular bisectors of each other.

d

Opposite sides are parallel and unequal.

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

a

8 cm

b

12 cm

c

16 cm

d

24 cm

3. The diagonals of a rhombus bisect the   of the rhombus.

4. In a rhombus, all four   are congruent.

5. Consider a rhombus ABCD where diagonal AC = 10 units and diagonal BD = 24 units. Draw the rhombus and its diagonals, then find the length of one side of the rhombus.

ABCD1024

6. A square is always a rhombus.

T

True

F

False

7. The diagonals of a rhombus are always congruent.

T

True

F

False

8. In rhombus PQRS, the measure of angle P is 60 degrees. Find the measures of angles Q, R, and S.

Match the property to the correct figure.

9. All sides are congruent.

 

a. Rectangle

10. Diagonals bisect each other at right angles.

 

b. Rhombus