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CHAPTER 3. LINES AND ANGLES. B. A. D. l. C. m. 28. PARALLEL LINES. Def: line that do not intersect. Illustration: Notation: l || m AB || CD. p. 129. Examples of Parallel Lines. Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking

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Chapter 3

CHAPTER 3

LINES AND ANGLES


Parallel lines

B

A

D

l

C

m

28

PARALLEL LINES

  • Def: line that do not intersect.

  • Illustration:

  • Notation:l || mAB|| CD

p. 129


Examples of Parallel Lines

  • Hardwood Floor

  • Opposite sides of windows, desks, etc.

  • Parking slots in parking lot

  • Parallel Parking

  • Streets: Laramie & LeClaire


Examples of Parallel Lines

  • Streets: Belmont & School


Perpendicular lines

m

n

29

PERPENDICULAR LINES

  • Def: Lines that intersect to form a right angle.

  • Illustration:

  • Notation:m n

  • Key Fact: 4 right angles are formed.

p. 79


Ex. of Perpendicular Lines

  • Window panes

  • Streets: Belmont and Cicero


Transversal

30

Transversal

  • Def: a line that intersects two lines at different points

  • Illustration:

t

p. 131


Vertical angles
Vertical Angles

  • Two angles that are opposite angles.

t

  • 14

  • 2  3

  • 5  8

  • 6  7

1

2

4

3

6

5

7

8


Vertical angles1
Vertical Angles

  • Find the measures of the missing angles

t

125 

?

125 

55 

?

55 


Supplementary angles linear pair

t

1

2

4

3

6

5

7

8

Supplementary Angles/Linear Pair

  • Two angles that form a line (sum=180)

  • 1+2=180

  • 2+4=180

  • 4+3=180

  • 3+1=180

  • 5+6=180

  • 6+8=180

  • 8+7=180

  • 7+5=180


Supplementary angles linear pair1
Supplementary Angles/Linear Pair

  • Find the measures of the missing angles

t

?

108 

72 

180 - 72

?

108 


Corresponding angles

1

2

3

4

5

6

7

8

30

Corresponding Angles

  • Two angles that occupy corresponding positions.

t

  • 15

  • 2  6

  • 3  7

  • 4  8

Top Left

Top Right

Bottom Left

Bottom Right

Top Left

Top Right

Bottom Left

Bottom Right

p. 131 & 143


Corresponding angles1
Corresponding Angles

  • Find the measures of the missing angles

t

145 

35 

?

145 


Alternate interior angles

30

Alternate Interior Angles

  • Two angles that lie between parallel lines on opposite sides of the transversal

t

  • 3  6

  • 4  5

1

2

3

4

5

6

7

8

p. 131 & 143


Alternate interior angles1
Alternate InteriorAngles

  • Find the measures of the missing angles

t

82 

82 

98 

?


Alternate exterior angles

30

Alternate Exterior Angles

  • Two angles that lie outside parallel lines on opposite sides of the transversal

t

  • 2  7

  • 1  8

1

2

3

4

5

6

7

8

p. 131 & 143


Alternate exterior angles1
Alternate ExteriorAngles

  • Find the measures of the missing angles

t

120 

?

120 

60 


Consecutive interior angles

30

Consecutive Interior Angles

  • Two angles that lie between parallel lines on the same sides of the transversal

t

  • 3 +5 = 180

  • 4 +6 = 180

1

2

3

4

5

6

7

8

p. 131 & 143


Consecutive interior angles1
Consecutive InteriorAngles

  • Find the measures of the missing angles

t

180 - 135

135 

45 

?


HW

P. 132 – 133

  • # 6 – 9

  • # 21 – 26

    P. 146 - 147

  • #7 - 17


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