Conditions of Parallelograms

What is the perimeter of parallelogram WXYZ?

Mathematical Equivalence

ON

What value of x will make the parallelogram a rhombus?

Mathematical Equivalence

ON

Which of the following is NOT a property of parallelograms?

• Opposite angles congruent

• Diagonals bisect each other

• Consecutive angles are congruent

• Opposite sides are parallel and congruent

A parallelogram has perpendicular diagonals and angle measures of 45, 135, 45, and 135. The parallelogram can be classified as a...

• Rhombus

• Rectangle

• Square

• None of these

A parallelogram has perpendicular diagonals and angle measures that are all 90 degrees. The parallelogram can be classified as a...

• Rhombus

• Rectangle

• Square

• None of these

A parallelogram has perpendicular and congruent diagonals. The parallelogram can be classified as a...

• Rhombus

• Rectangle

• Square

• None of these

A parallelogram has congruent diagonals. The parallelogram can be classified as a...

• Rhombus

• Rectangle

• Square

• None of these

Find x.

• 75

• 85

• 105

• 95

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

The opposite sides of a parallelogram are congruent.

• true

• false

• maybe

• sometimes