Properties of Rhombi Worksheet
Explore and apply the geometric properties of rhombi, including side lengths, angles, and diagonals, through various problem-solving exercises.
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Properties of Rhombi
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Read each question carefully and provide full solutions, showing all your work. Diagrams are not necessarily to scale.
1. A rhombus is a quadrilateral with all four sides .
2. The diagonals of a rhombus are to each other.
3. Each diagonal of a rhombus the angles of the rhombus.
4. The opposite angles of a rhombus are .
5. In rhombus ABCD, if AB = 7x - 3 and BC = 5x + 9, find the value of x and the length of each side.
6. Consider rhombus PQRS. If m∠PQR = 110°, find m∠QRS, m∠RSP, and m∠SPQ.
7. In rhombus ABCD, the diagonals intersect at E. If AE = 8 and BE = 6, find the perimeter of the rhombus.
8. All rhombi are squares.
True
False
9. The diagonals of a rhombus bisect each other at right angles.
True
False
10. Which of the following is NOT a property of a rhombus?
All sides are congruent.
Diagonals are congruent.
Diagonals are perpendicular bisectors of each other.
Opposite angles are congruent.
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