6-2 Properties of Parallelograms

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

8.33

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

3

2

4

5

8.33

Find the value of b.

2

4

3

5

8.33

Find the value of x.

36°

180°

136°

44°

8.33

Find the value of y.

180°

36°

44°

136°

8.33

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

21

19

32

20

8.33

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

21

26

25

36

8.33

Find the value of a.

3

10

5

2

8.33

Find the value of b.

21

7

9

12

8.33

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

8.33

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

8.33

Find the value of x.

18

21

17

16

8.33

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

50

60

30

40

6-2 Properties of Parallelograms

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

Find the value of b.

Find the value of x.

Find the value of y.

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

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

Find the value of a.

Find the value of b.

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 = 180Then solve for x.

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°.

Find the value of x.

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

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

Find the value of b.

Find the value of x.

Find the value of y.

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

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

Find the value of a.

Find the value of b.

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 = 180Then solve for x.

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°.

Find the value of x.

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

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

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

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

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.

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°.

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

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

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

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

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.

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°.

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