CHAPTER 3 LINES AND ANGLES 28 PARALLEL LINES
- Slides: 21
CHAPTER 3 LINES AND ANGLES
28 PARALLEL LINES • Def: line that do not intersect. B • Illustration: A l m • Notation: D C 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 Streets: Laramie & Le. Claire
Examples of Parallel Lines • Streets: Belmont & School
PERPENDICULAR LINES 29 • Def: Lines that intersect to form a right angle. m • Illustration: n • Notation: m n • Key Fact: 4 right angles are formed. p. 79
Ex. of Perpendicular Lines • Window panes • Streets: Belmont and Cicero
Transversal 30 • Def: a line that intersects two lines at different points t • Illustration: p. 131
Vertical Angles • Two angles that are opposite angles. t 1 2 3 4 5 7 6 8 1 4 2 3 5 8 6 7
Vertical Angles • Find the measures of the missing angles t 125 ? 125 55 ? 55
Supplementary Angles/ Linear Pair • Two angles that form a line (sum=180 ) 1+ 2=180 2+ 4=180 4+ 3=180 3+ 1=180 t 1 2 3 4 5 7 6 8 5+ 6=180 6+ 8=180 8+ 7=180 7+ 5=180
Supplementary Angles/ Linear Pair • Find the measures of the missing angles t 108? 72 108 ? 180 - 72
30 Corresponding Angles • Two angles that occupy corresponding positions. t Top Left Top Right 1 3 Bottom Left Top Left Bottom Left 2 5 7 4 Bottom Right 6 Top Right 1 5 2 6 3 7 4 8 8 Bottom Right p. 131 & 143
Corresponding Angles • Find the measures of the missing angles t 145 35 ? 145
Alternate Interior Angles 30 • Two angles that lie between parallel lines on opposite sides of the transversal t 1 2 3 4 3 6 4 5 5 6 7 8 p. 131 & 143
Alternate Interior Angles • Find the measures of the missing angles t 82 98 ? 82
Alternate Exterior Angles 30 • Two angles that lie outside parallel lines on opposite sides of the transversal t 1 2 3 4 2 7 1 8 5 6 7 8 p. 131 & 143
Alternate Exterior Angles • Find the measures of the missing angles t 120 60 ? 120
Consecutive Interior Angles 30 • Two angles that lie between parallel lines on the same sides of the transversal t 1 2 3 4 3 + 5 = 180 4 + 6 = 180 5 6 7 8 p. 131 & 143
Consecutive Interior Angles • Find the measures of the missing angles t 135 ? 45 180 - 135
HW P. 132 – 133 • #6– 9 • # 21 – 26 P. 146 - 147 • #7 - 17
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