Proving Parallelograms

In order for ABCD to be a parallelogram, what must the value of x be?

• 132

• 66

• 114

• 48

Is the quadrilateral a parallelogram?

• Yes

• No

• Not enough information.

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

• yes

• no

Is this a parallelogram? How do we know?

• yes,opposite sides are congruent

• no we can not prove it is a parallelogram

• yes, one pair of sides are congruent and parallel

• yes, opposite sides are parallel

• yes, diagonals bisect each other

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.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel. 

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

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 are congruent, you can prove that the shape is a parallelogram.

• True

• False

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

• yes

• no