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