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Properties of Rhombuses Worksheet

Explore and identify the key properties of rhombuses, including angle relationships, side lengths, and diagonals, through various exercises.

Grade 7 Math GeometryProperties of Rhombuses
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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2CCSS.MATH.CONTENT.8.G.A.5

Topics

rhombusgeometryquadrilateralgrade 7math
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 problems requiring calculations.

1. Define a rhombus in your own words. What are its essential characteristics?

2. Draw a rhombus and label its vertices. Then, draw and label its diagonals.

3. Which of the following statements is ALWAYS true for a rhombus?

a

All angles are 90 degrees.

b

Only opposite sides are equal in length.

c

All four sides are equal in length.

d

Diagonals are always equal in length.

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

5. Each diagonal of a rhombus   the angles at the vertices.

6. The sum of any two consecutive angles in a rhombus is   degrees.

7. Consider a rhombus ABCD where angle A is 60°. What are the measures of angles B, C, and D?

ABCD60°

Angle B =  

Angle C =  

Angle D =  

8. A square is a special type of rhombus.

T

True

F

False

9. If one diagonal of a rhombus is 10 cm and the other is 24 cm, what is the perimeter of the rhombus? (Hint: The diagonals bisect each other at right angles.)

O12 cm5 cm