Parallelogram Theorems

The Opposite Angles Theorem states that opposite angles of a parallelogram are:

• supplementary

• congruent

• complementary

The Consecutive Angles Theorem states that consecutive angles of a parallelogram are:

• supplementary

• congruent

• complementary

The Opposite Sides Theorem states that opposite sides of a parallelogram are:

• parallel

• congruent

• perpendicular

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Which method will NOT prove the quadrilateral is a parallelogram.

• Show that a pair of sides are congruent and parallel.

• Show that both pairs of opposite sides are congruent

• Show that both pairs of opposite sides are parallel

• Show that a pair of sides are parallel

Is this enough information to prove this quadrilateral is a parallelogram?

• Yes, if two pairs of consecutive sides are congruent, then it is a parallelogram.

• No, there is not enough information.

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

The Opposite Sides Theorem states that a quadrilateral is a parallelogram if:

• both pairs of its opposite sides are parallel.

• both pairs of its opposite sides are congruent.

• both pairs of its opposite sides are perpendicular.

• one pair of its opposite sides are congruent.

• one pair of its opposite sides are parallel.