Properties of Rhombi Worksheet
Explore and apply the properties of rhombi, including diagonals, angles, and sides, in various geometric problems.
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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 where applicable.
1. Which of the following statements is always true for a rhombus?
All angles are right angles.
Diagonals are congruent.
Diagonals bisect each other at right angles.
Opposite sides are not parallel.
2. A rhombus is a quadrilateral with all four sides .
3. The diagonals of a rhombus the opposite angles.
4. In rhombus ABCD, if AB = 5x - 3 and BC = 2x + 9, find the value of x. Then find the perimeter of the rhombus.
5. The diagonals of a rhombus are 10 cm and 24 cm. Find the length of a side of the rhombus.
6. All rhombi are squares.
True
False
7. The diagonals of a rhombus are perpendicular bisectors of each other.
True
False
8. In rhombus PQRS, if m∠PQR = 120°, find m∠QPS.
9. A rhombus has a side length of 13 units and one diagonal of length 10 units. Find the length of the other diagonal.
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