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Properties of Rhombuses

Explore the unique properties of rhombuses, including their sides, angles, and diagonals, through various exercises.

Grade 8 Math GeometryProperties of Rhombuses
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.5

Topics

rhombusgeometryquadrilateralgrade 8
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 your work when necessary.

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

a

All four sides are congruent.

b

Opposite angles are congruent.

c

Diagonals are congruent.

d

Diagonals are perpendicular bisectors of each other.

2. If one angle of a rhombus is 70 degrees, what is the measure of the adjacent angle?

a

70 degrees

b

90 degrees

c

110 degrees

d

180 degrees

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

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

5. Each diagonal of a rhombus   the opposite angles.

6. Draw a rhombus and label its vertices A, B, C, and D. Draw its diagonals and label their intersection point E.

ABCDE

7. If the diagonals of a rhombus are 10 cm and 24 cm, what is the perimeter of the rhombus? Show your work.

8. All squares are rhombuses.

T

True

F

False

9. All rhombuses are squares.

T

True

F

False

10. In rhombus PQRS, the measure of angle P is 120 degrees. Find the measures of angles Q, R, and S.