6-4 Proving a Quadrilateral is a Parallelogram

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

Tags

CCSS.HSG.CO.C.11

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

• yes
• no

Tags

CCSS.HSG.CO.C.11

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

• yes
• no

Tags

CCSS.HSG.CO.C.11

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

• 132
• 66
• 114
• 48

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram?

• Yes

• No

• Not enough information.

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram?

• Yes

• No

• Not enough information.

Tags

CCSS.HSG.CO.C.11

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

• yes
• no

Tags

CCSS.HSG.CO.C.11

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. 

Tags

CCSS.HSG.CO.C.11

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. 

Tags

CCSS.HSG.CO.C.11

State which method we can use to show that the quadrilateral is a parallelogram. 

• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• One pair of opposite sides are parallel and congruent.
• Consecutive angles are supplementary. 

Tags

CCSS.HSG.CO.C.11