Proving Quadrilateral Parallelogram

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 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 values of x and y that make the quadrilateral a parallelogram.

• x = 4, y = 3

• x = 3, y = -2

• x = 1, y = 4

• x = 3, y = 4

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

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

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

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

• Always

• Sometimes

• Never

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