Properties of Rhombi Worksheet
Explore the key properties of rhombi, including their diagonals, angles, and sides, through various problem-solving exercises for Grade 12 students.
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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 for full credit.
1. Which of the following statements is NOT always true for a rhombus?
All four sides are congruent.
The diagonals are congruent.
The diagonals are perpendicular bisectors of each other.
Each diagonal bisects a pair of opposite angles.
2. If the perimeter of a rhombus is 48 cm, what is the length of one side?
12 cm
24 cm
6 cm
48 cm
3. The diagonals of a rhombus intersect at a angle.
4. In a rhombus, consecutive angles are .
5. Consider a rhombus ABCD where diagonal AC = 16 units and diagonal BD = 12 units. Calculate the length of one side of the rhombus.
6. Prove that the diagonals of a rhombus are perpendicular bisectors of each other.
7. A square is always a rhombus.
True
False
8. All rhombi are squares.
True
False
9. In rhombus PQRS, if m∠P = (3x + 10)° and m∠Q = (2x + 40)°, find the measure of angle R.
10. The diagonals of a rhombus are 20 cm and 48 cm. Find the perimeter of the rhombus.