Basic Parallelogram

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

Tags

CCSS.HSG.CO.C.11

• b = 51

• b = 129

Tags

CCSS.HSG.CO.C.11

The opposite sides of a parallelogram are...

• congruent

• perpendicular

• skew

• supplementary

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. 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.CO.C.11

Refer to parallelogram ABCD. LABEL what angle BCD should be.

a

114

65

260

25

Tags

CCSS.HSG.CO.C.11

Given: Parallelogram ABCD

Solve for x.

• 7

• 1

• 5

• 2

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 diagonals of a parallelogram always ... 

• are congruent

• are perpendicular

• bisect each other

• are parallel

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Tags

CCSS.HSG.CO.C.11