300 400 500 100 200 angle relationships parallel lines with transversals 300 100 200 400 500 proving...

31
300 400 500 100 200 Angle Relations hips Parallel Lines with 300 300 300 300 300 100 100 100 100 100 200 200 200 200 200 400 400 400 400 400 500 500 500 500 500 Proving Lines Parallel Slope Writing and Graphing Equations Grab Bag

Upload: horatio-butler

Post on 31-Dec-2015

222 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

300

400

500

100

200

Angle Relationships

Parallel Lines with Transversals

300 300 300 300 300

100 100 100 100 100

200 200 200 200 200

400 400 400 400 400

500 500 500 500 500

Proving Lines Parallel

SlopeWriting and Graphing Equations

Grab Bag

Page 2: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

If two lines are parallel what do you know about:

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

Page 3: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Name two sets of consecutive interior angles.

16151413

1211109

8765

4321

Page 4: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Name two sets of corresponding angles.

16151413

1211109

8765

4321

Page 5: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

16151413

1211109

8765

4321

Name two sets of alternate interior angles.

Page 6: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Name four sets of alternate exterior angles.

16151413

1211109

8765

4321

Page 7: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find the measure of angle 1 and angle 2.

136

21

Page 8: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find the measure of angle 1 and angle 2.

6821

Page 9: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find the value of x and y.

(100 - y)

81

9x

Page 10: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find the value of x and y.

(13y + 5)

(5y - 5)3x

Page 11: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find the value of x and y.

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

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

Page 12: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

b

a

Page 13: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

b

a

Page 14: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

b

a

Page 15: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

(4x - 10)

(3x + 13)

b

a

Page 16: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

b.

2x

(3x - 30)

b

a

Page 17: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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)

Page 18: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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)

Page 19: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find each slope: 

a.(–6, 0) and (8, 7)

b. (2, 5) and (–6, –18)

Page 20: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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)

Page 21: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

Page 22: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

(4, 7), m = 2

Page 23: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

(–3, 0), m =

23

Page 24: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

(3, 2), (8, 12)

Page 25: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

1y x 12

3

Page 26: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

y = x + 3

Page 27: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

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

Page 28: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find .

ADB

(3x + 32)

26x

D

C

B

A

Page 29: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

What college did I attend???

Page 30: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

What does the following symbol represent:

Page 31: 300 400 500 100 200 Angle Relationships Parallel Lines with Transversals 300 100 200 400 500 Proving Lines Parallel Slope Writing and Graphing Equations

Find every angle.

42

10

98

76

5

4

32

1