Define a parallelogram.

State the theorem regarding the opposite sides of a parallelogram.

State the theorem regarding the opposite angles of a parallelogram.

In parallelogram ABCD, if AB=6 cm and AD=5 cm, what are the lengths of DC and BC?

In parallelogram PQRS, if PQ^​R=110∘, what is the magnitude of PS^R?

The diagonals of a parallelogram ABCD intersect at O. What is the relationship between the lengths of AO and OC?

State the property of a parallelogram related to its area and one of its diagonals.

If the area of parallelogram ABCD is 24 cm², what is the area of triangle BCD?

In parallelogram ABCD, AD^B=45∘ and DB^A=75∘. Find the magnitude of DA^B.

Using the information from question 9, find the magnitude of BC^D.

The diagonals of parallelogram PQRS intersect at O. Prove that △POQ≡△ROS.

In parallelogram ABCD, the midpoint of BC is E. DE and AB produced meet at Q. Prove that AB = BQ.

In parallelogram ABCD, perpendiculars are drawn from vertices B and D to the diagonal AC, meeting it at points L and M respectively. Prove that BL = DM.

In parallelogram PQRS, the bisectors of SP^Q and PS^R meet at X on side QR. Prove that PQ = 2PS.

Two parallelograms ABCD and APCQ share the diagonal AC. Prove that the lines BD and PQ are concurrent with AC.