Prove Parallelograms

State which method we can use to show that the quadrilateral is a parallelogram. 

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel. 

State which method we can use to show that the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• The diagonals bisect each other.

• Both pairs of opposite sides are parallel.

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

• DB=AC

• DA=BC

• DA||BC

• DA||BC, DA=BC

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Which theorem shows that the quadrilateral is a parallelogram?

• Parallelogram Diagonals Converse

• Parallelogram Opposite Sides Converse

• Parallelogram Opposite Angles Converse

• Opposite Sides Parallel and Congruent Theorem

Find the value of x that makes the quadrilateral a parallelogram.

• x = 26

• x = 7

• x = 2

• x = -2

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes, all opposite sides are congruent

• yes, opposite angles are congruent

• yes, opposite sides are parallel

• yes, consecutive interior angles are supplementary

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes, opposite sides are congruent

• yes, opposite sides are parallel

• no, not all pairs of opposite sides are congruent

• no, it is not a quadrilateral

Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; one pair of opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

How can you prove two diagonals bisect each other?

• Use distance formula and prove they have the same length

• Use midpoint formula and prove they have the same midpoint

• Use the slope formula and prove they have the same slope

• Use the slope formula and prove the slopes are perpendicular