What are the x- and y-intercepts of the function graphed at the right ?

a. (0,2) and (0,3)

b. (2,0) and (0,-3)

c. (0,-2) and (3,0)

d. (0,2) and (3,0)

5.1 warm-up

3

-3 -2 -1 0 1 2 3 x

-3

12

3 y

6.2 Properties of Parallelograms

Parallelograms

Opposite sides are congruentOpposite angles are congruent

Diagonals bisect each other

Pardekooper

Lets try some problems

x0

1270

Find x in a Parallelogram:

Opposite angles are congruent x=127

PardekooperSame side angles are supplementary

y0

180-127y=530

Lets try some problems

x0

550

Find x:

x0

550

Pardekooper

Same side angles are supplementary

X + 55 = 180

X = 180 - 55

X = 125

Lets try some problems

2x+4

7x-1Find x:

Remember opposite sides are congruent.

2x + 4 = 10-4 -4

2x = 6

10

6x+2

2 2x = 3

Pardekooper

Now find the sides

2x+4

7x-1Find x:

6x + 2 6(3) + 2

10

6x+2

18 + 2

20

7x - 1

7(3) - 1 21 - 1

20

2x + 4 2(3) + 4

6 + 4

10

10

20

20

Pardekooper

Just one more itemIf three (or more) parallel

lines cut off congruent segments on one

transversal, then they will cut off congruent

segments on every transversal.

Pardekooper

Here comes the assignment.

Pardekooper