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Angle Relationships

Parallel Lines with Transversals

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Proving Lines Parallel

SlopeWriting and Graphing Equations

Grab Bag

If two lines are parallel what do you know about:

- alternate interior angles?- alternate exterior angles?- corresponding angles?- consecutive interior angles?

Name two sets of consecutive interior angles.

16151413

1211109

8765

4321

Name two sets of corresponding angles.

16151413

1211109

8765

4321

16151413

1211109

8765

4321

Name two sets of alternate interior angles.

Name four sets of alternate exterior angles.

16151413

1211109

8765

4321

Find the measure of angle 1 and angle 2.

136

21

Find the measure of angle 1 and angle 2.

6821

Find the value of x and y.

(100 - y)

81

9x

Find the value of x and y.

(13y + 5)

(5y - 5)3x

Find the value of x and y.

(7y - 15)(2x + 15)

(3x - 10)(6y + 1)

Can you prove that lines a and b are parallel? If so, how?

b

a

Can you prove that lines a and b are parallel? If so, how?

b

a

Can you prove that lines a and b are parallel? If so, how?

b

a

Find the value of x that makes line a parallel to line b.

(4x - 10)

(3x + 13)

b

a

Find the value of x that makes line a parallel to line

b.

2x

(3x - 30)

b

a

Tell whether the lines through the given points are parallel, perpendicular, or neither. 

Line 1: (–3, 1) and (–2, 5)Line 2: (–1, –3) and (5, –2)

Tell whether the lines through the given points are parallel, perpendicular, or neither. 

Line 1: (7, 4) and (10, 5)Line 2: (2, 3) and (8, 5)

Find each slope: 

a.(–6, 0) and (8, 7)

b. (2, 5) and (–6, –18)

Find the slope of the line. Then find the slope of a line that is perpendicular to the original slope. 

(–5, –4) and (8, 17)

Tell whether the intersection of and forms a right angle.  A(–8, 3) B(1, 2) C(0, 9) D(–1, 0)

AB45555555555555 5

CD45555555555555 5

Use the given information to write the equation of the line. 

(4, 7), m = 2

Use the given information to write the equation of the line. 

(–3, 0), m =

23

Use the given information to write the equation of the line. 

(3, 2), (8, 12)

Write the equation of the line that goes through the point (6, 3) and is parallel to:

1y x 12

3

Write the equation of the line that goes through the point (–7, 3) and is perpendicular to:

y = x + 3

Find the measure of the given angle that would make u || v

Find .

ADB

(3x + 32)

26x

D

C

B

A

What college did I attend???

What does the following symbol represent:

┴

Find every angle.

42

10

98

76

5

4

32

1