Proofs with Parallelograms Worksheet
A Grade 11 math worksheet focusing on proofs involving properties of parallelograms.
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Proofs with Parallelograms
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Read each question carefully and provide a complete proof or answer as required. Show all your work.
1. Given parallelogram ABCD, prove that its opposite sides are congruent.
2. The diagonals of a parallelogram each other.
3. If one pair of opposite sides of a quadrilateral is both and , then the quadrilateral is a parallelogram.
4. If a quadrilateral has four congruent sides, then it is always a parallelogram.
True
False
5. The consecutive angles of a parallelogram are supplementary.
True
False
6. Given a quadrilateral where the diagonals bisect each other, prove that the quadrilateral is a parallelogram.
7. Which of the following is NOT a property of all parallelograms?
Opposite angles are congruent.
Diagonals are congruent.
Opposite sides are parallel.
Consecutive angles are supplementary.