Parallelogram Proofs Worksheet
A Grade 11 math worksheet focusing on proving properties of parallelograms and related quadrilaterals.
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Parallelogram Proofs Worksheet
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Read each question carefully and provide detailed proofs or answers. Show all your work for full credit.
Determine if the following statements are true or false. Justify your answer.
1. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
True
False
Justification:
Complete the following statements:
2. A quadrilateral is a parallelogram if both pairs of opposite sides are .
3. A quadrilateral is a parallelogram if one pair of opposite sides is both parallel and .
Prove the following statements:
4. Given a quadrilateral ABCD, if AB || DC and AD || BC, prove that the diagonals bisect each other.
5. In parallelogram PQRS, prove that opposite angles are congruent (∠P ≅ ∠R and ∠Q ≅ ∠S).
6. Which of the following conditions is NOT sufficient to prove that a quadrilateral is a parallelogram?
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
One pair of opposite sides is congruent and one pair of opposite angles is congruent.
The diagonals bisect each other.