Solving Problems Using Parallelogram Properties

• x = 40 , y = 40 
• x = 30, y = 30
• x = 40, y = 30
• x = 30, y = 40

Tags

CCSS.HSG.CO.C.11

x = 70, y = 80

• x = 70, y = 80

• x = 70, y = 30

• x = 80, y = 70

• x = 80, y = 30

Tags

CCSS.HSG.CO.C.11

• x = 30, y = 40
• x = 40, y = 30
• x = 40, y = 15
• x = 30, y = 30

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.

By definition, the opposite sides of a parallelogram are ​ (a)   . 

∠ABC ≅∠DCB and ∠CBD≅∠BCA by the ​ (b)   BC≅CB by the ​ (c)   △ABC ≅△DCB by the ​ (d)   . AB≅CD and BD≅AC by the​ (e)   .

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

Tags

CCSS.HSG.C.A.3

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.C.A.3

What is the value of x?

• 132

• 66

• 114

• 48

Tags

CCSS.HSG.CO.C.11

• x = 9, y = 4
• x = 6, y = 4
• x = 6, y = 2
• x = 4, y = 2

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Tags

CCSS.HSG.CO.C.11