Properties of Parallelograms

6.2 Quadrilaterals and Parallelograms

                          Parallelograms
There are some rules you need to memorize. 
People memorize this in different ways:
-reading and rereading
-writing and rewriting
-flash cards
(do whatever works for you!)

Multiple Select

The opposite sides of a parallelogram are...

• congruent

• perpendicular

• parallel

• supplementary

Multiple Choice

Parallelograms are ...

• triangles

• quadrilaterals

• pentagons

• hexagons

Multiple Choice

In a parallelogram, opposite angles are ________.

• congruent

• supplementary

• consecutive

• parallel

Multiple Choice

In a parallelogram, consecutive angles are __________.

• congruent

• supplementary

• corresponding

• parallel

Multiple Choice

The diagonals of a parallelogram

• are always congruent
• bisect each other
• are never congruent
• parallel

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Multiple Choice

If the diagonals of a parallelogram are congruent, then the parallelogram is a

• rectangle
• square
• rhombus
• trapazoid

Multiple Choice

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. 

Multiple Choice

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. 

Multiple Choice

Find the measure of angle c.

• c = 51

• c = 129

• c = 109

• c = 119

Fill in the Blanks

Multiple Select

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

• AD and CD

• AD and CB

• AB and CD

• AC and BD

Multiple Choice

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

• 132

• 66

• 114

• 48

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 1

• 11

• 7

• 6

Multiple Choice

The figure is a parallelogram.

Solve for x.

• 7

• 1

• 5

• 2

Since parallelograms have parallel sides, the alternate interior angles created by the diagonals are always equal

Multiple Choice

Find angle CDE

• 23^o
• 80^o
• 117^o
• 67^o

Multiple Choice

Find angle BCA

• 23^o
• 80^o
• 117^o
• 67^o

Multiple Choice

Find x

• 25^o
• 35^o
• 120^o
• 80^o

Multiple Choice

Find y

• 25^o
• 35^o
• 120^o
• 80^o

Diagonal bisect each other in every parallelogram. 

however, they only create right angles and bisect the vertex angles in Kites, Rhombus and Squares. 

however, diagaonals are only congruent in rectangles. 

Multiple Select

Check all that apply to the DIAGONALS of a PARALLELOGRAM

• diagonals bisect (split in half) each other

• diagonals are congruent

• diagonals bisect (split in half) opposite angles

• diagonals are perpendicular (intersect in a 90^o angle)

Multiple Select

Check all that apply to the DIAGONALS of a RHOMBUS

• diagonals bisect (split in half) each other

• diagonals are congruent

• diagonals bisect (split in half) opposite angles

• diagonals are perpendicular (intersect in a 90^o angle)

Multiple Choice

Which property is shown in the parallelogram that makes it a rhombus?

• Diagonals are perpendicular to each other

• Diagonals are congruent to each other

• Diagonals are bsiect each other

• Adjacent sides are perpendicular

Multiple Select

Which of the following quadrilaterals have 2 pairs of parallel sides? Choose ALL possible answers.

• trapezoid

• parallelogram

• square

• kite

• rhombus