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Geo. 6.3 Conditions for a Parallelogram
Contributed by: DiLaura
(Original author: Maynard)
Parallelograms have opposite sides that are _________________.
Parallelograms ____________________ angles are congruent.
Parallelograms _______________________ angles are supplementary.
Parallelograms ______________________  bisect each other. 
Parallelograms have opposite sides that are _________________.
There are 5 properties of a Parallelogram. 
Complete the properties by matching the correct word to 
each sentence. 
diagonals
?
opposite
?
consecutive
?
not used: 
congruent
?
parallel
?
complementary
?

True or False?

 

In a quadrilateral, if one pair of opposite angles

are congruent then it is a parallelogram?

True, it only takes one pair of 
opposite angles congruent. 
 False, not enough information.

True or False?


If one pair of opposite sides are congruent

and parallel then its a parallelogram.

 True, it only takes 1 pair of opposite
sides that are parallel and congruent. 
False, not enough information

P

55
 False, there is not enough information

True, one angle is supplementary to it's consecutive

    angles. 

Given the information above, the figure

is a parallelogram.

O

125

T

55
R

S

The figure above is a parallelogram.

True, it only takes one pair of opposite angles 

congruent and one pair of opposite sides congruent. 

 False, not enough information.

K

130
130

P

I

C

The figure, CAKE, above is a parallelogram.

E

True, it only takes both pairs of opposite

sides congruent to be a parallelogram.

 False, not enough information.

A

K

Based on the given information, can you prove the

figure is a parallelogram?

yes, 2 opp. sides are parallel

     & congruent

no, not enough information

yes, diagonals are congruent

yes, diagonals bisect each other

Find the value of x that would 
make EFGH a parallelogram. 
(5x + 4)º
121o
x = 
121o
Find the measure of angle N and W that wouldmake SNOW a parallelogram.
S
W
48o
N
O
degrees

S

The figure above is a parallelogram.

True, it only takes one pair of opposite sides parallel 

and one pair of opposite sides congruent.

 False, not enough information. 

K

P

I

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