Proofs for Quadrilaterals

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

Which of the following cannot be used to prove a shape is a parallelogram?

• Both pairs of opposite sides parallel

• Both pairs of opposite sides congruent

• One pair of opposite sides congruent

• Both pairs of opposite angles congruent

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

• yes
• no

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

• yes
• no

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

• yes
• no

Is the quadrilateral a parallelogram?

• Yes

• No

• Not enough information.

Is the quadrilateral a parallelogram?

• Yes

• No

• Not enough information.

Which figure is NEVER a parallelogram?

• rhombus
• square
• triangle
• rectangle

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.