Quadrilateral 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

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

The figure is a parallelogram.  
Solve for x.  

• 7

• 2

• 0

• 4

Tags

CCSS.HSG.CO.C.11

The opposite angles of a parallelogram are ...

• complementary

• congruent

• supplementary

• perpendicular

Tags

CCSS.HSG.CO.C.11

The opposite sides of a parallelogram are...

• congruent

• perpendicular

• skew

• supplementary

Find the measure of angle b.

• b = 51

• b = 129

Tags

CCSS.HSG.CO.C.11