Geo 8.2/8.3 (conditions for parallelograms)

1. True or False?

 

In a quadrilateral, if one pair of opposite

sides are both parallel and congruent, then

the figure is a parallelogram.

Please type either

T or F.

2. True or False?

 

In a quadrilateral, if the diagonals create

a right angle, then the figure is a parallelogram.

Please type either

T or F.

P

3. Given the information above, is figure PORT

    a parallelogram?

55

O

YES

125

T

 NO 
55
R

S

4. The figure above, SKIP, is a parallelogram.

YES

K

130
130
 NO 

P

I

C

5. The figure, CAKE, above is a parallelogram.

YES

E

 NO 

A

K

6. 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

S
7. Parallelogram  SNOW is drawn above.  Find WO.
W
(8p - 6)
(4p + 14)
N
(2p+10)
O
units
8.  Figure DAYS, is a parallelogram.  Use the 
     information in the figure to find x and y.

D

x
y+7

S

(3x+25)

A

y
(2x)
4y-2

Y

9.  Given the information in figure ICED, is it
     a parallelogram?
YES
NO
I
D
75
115
E
C
10.  Given the figure, TEAM, is it a parallelogram?
YES
NO
T
M
A
E
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