6.3 Prove 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

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

Parallelograms are ...

• triangles

• quadrilaterals

• pentagons

• hexagons

Tags

CCSS.5.G.B.4

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

• yes, because opposite sides are $\cong$

• no, because only one pair of opposite sides are

Tags

CCSS.HSG.CO.C.11

The opposite sides and opposite angles of a parallelogram are...

• congruent

• supplementary

• perpendicular

• not congruent

Tags

CCSS.HSG.CO.C.11

In a parallelogram, consecutive angles are __________.

• congruent
• supplementary
• corresponding
• parallel

Tags

CCSS.HSG.CO.C.11

In a parallelogram, diagonals are __________.

• perpendicular
• bisected
• congruent
• parallel

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

Tags

CCSS.HSG.CO.C.11

For what value of x is the quadrilateral a parallelogram?

(a)  

Tags

CCSS.HSG.CO.C.11