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6-2 Properties of Parallelograms

Last updated almost 2 years ago

12 questions

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***Assume that all of the figures in the problems that you are about to do are parallelograms. 

Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Question 7

7.

Question 8

8.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Find the value of a. 
Rememeber in a parallelogram that opposite sides are congruent to each other. 

3

2

4

5

Find the value of b. 

2

4

3

5

Find the value of x.

36°

180°

136°

44°

Find the value of y.

180°

36°

44°

136°

Find the value of x. 
Remember in a parallelogram that the diagonals bisect (cut exactly in half) each other. 

21

19

32

20

Find the value of y. 
Remember in a parallelogram that the diagonals bisect (cut exactly in half) each other. 

21

26

25

36

Find the value of a.

3

10

5

2

Find the value of b.

21

7

9

12

Find the value of x. 
Remember that in a parallelogram that consecutive (in order) angles are supplementary. 
In other words angles right after the other one add up to 180°


So for this one you will set it up like this

(x+8) + 3x = 180

Then solve for x. 

43

63

53

33

Now find the value of y. 

From the value of x you got from the last problem plug that into angle D and then you know that those 2 angles add up to 180°.

90

150

120

160

Find the value of x. 

18

21

17

16

Find the value of y. 
Remember that in a parallelogram that opposite angles are congruent. 

50

60

30

40