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Proofs of Parallelogram Theorems in lesson 8.2 To prove these parallelogram theorems, you will need to use the definition of parallelograms which states that a parallelogram is a quadrilateral with opposite sides parallel. Theorem 8.3 Prove opposite sides of a parallelogram are congruent Statements Reasons Prove opposite angles of a parallelogram are congruent Given: p-gram ABCD (Use p-gram shown above) Prove <B and <D are congruent Thm 8.5 Consecutive angles in a p-gram are supplementary Given: p-gram ABCD(Use p-gram shown above) Prove: <B and < BAD are supplementary Thm 8.6 Glencoe Statements Prove diagonals of a p-gram bisect each other Reasons