Proofs for Quadrilaterals

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 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

Determine the value of x and y that would classify this quadrilateral as a parallelogram. 

• x = 9 ; y = 16
• x = 16; y = 9

Tags

CCSS.HSG.CO.C.11

Determine the value of x that would classify this quadrilateral as a parallelogram. 

• x = 155
• x = 50
• x = 75
• x = 25

Tags

CCSS.HSG.CO.C.11

Determine the value of x that would classify this quadrilateral as a parallelogram. (The expression are for the tick marks on the diagram). 

• x = 8
• x = 26
• x = 28
• x = 38

Tags

CCSS.HSG.CO.C.11

Determine the value of x that would classify this quadrilateral as a parallelogram. 

• x = 8
• x = 4
• x = 11
• x = 44

Tags

CCSS.HSG.CO.C.11

Fill in the Blank: If both pairs of opposite sides of a quadrilateral are ____________, then the quadrilateral is a parallelogram. 

• Parallel
• Congruent 
• Both parallel & congruent.
• Neither parallel or congruent. 

Fill in the Blank: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a _____________.

• Circle
• Quadrilateral
• Parallelogram
• Puppy

Tags

CCSS.HSG.C.A.3