Properties of Parallelograms Worksheet
Explore and apply the fundamental properties of parallelograms including side lengths, angles, and diagonals at a Grade 12 level.
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Properties of Parallelograms
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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 parallelogram?
Opposite sides are congruent.
Opposite angles are congruent.
Diagonals are congruent.
Consecutive angles are supplementary.
2. The diagonals of a parallelogram each other.
3. If one angle of a parallelogram is 90 degrees, then the parallelogram is a .
4. In parallelogram ABCD, if AB = 5x - 3 and CD = 2x + 9, find the length of AB.
5. All rhombuses are parallelograms.
True
False
6. A square is a type of parallelogram.
True
False
7. The perimeter of a parallelogram is 54 cm. If one side is 5 cm longer than the other, find the lengths of the sides of the parallelogram.
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