Parallelograms

Which slopes must be the same for this to be a parallelogram? 

• Both AD and CB,   and    AB and CD

• AD and CB

• AB and CD

• AC and BD

What are the values of x, y, and z for this to be a parallelogram?

• x=145, y=145,z=145

• x=145, y=35, z=35

• x=35,y=145, z=35

• x=35, y=35, z=145

What are the values of x and y that would make this a parallelogram?

• x = 23, y = 10

• x = 10, y = 23

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

What is the value of x?

• 132

• 66

• 114

• 48

Is this quadrilateral a parallelogram?

• Yes. Diagonals bisect each other

• no

• Yes. Opposite angles are congruent

• Yes. Opposite sides are congruent

Is this quadrilateral a parallelogram? If so, give a reason.

• No

• Yes. Opposite sides are parallel

• Yes. Opposite sides are congruent

• Yes. Opposite angles are congruent

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

• Opposite sides equal

• Opposite sides parallel

• Diagonals bisect each other

• Not enough info

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info