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LINES AND ANGLES
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PARALLEL LINES 28 Def: line that do not intersect. Illustration:
Notation: l || m AB || CD A B C D l m p. 129
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Examples of Parallel Lines
Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking
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29 PERPENDICULAR LINES Def: Lines that intersect to form a right angle. Illustration: Notation: m n Key Fact: 4 right angles are formed. m n p. 79
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30 Transversal Def: a line that intersects two lines at different points Illustration: t p. 131
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Vertically opposite Angles
Two angles that are opposite angles. t 1 4 2 3 5 8 6 7 1 2 3 4 5 6 7 8
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Vertically opposite Angles
Find the measures of the missing angles t 125 ? 125 55 ? 55
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Adjacent Supplementary Angles/ Linear Pair
Two angles that form a line (sum=180) 1 2 3 4 5 6 7 8 t 1+2=180 2+4=180 4+3=180 3+1=180 5+6=180 6+8=180 8+7=180 7+5=180
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Linear Pair 180 - 72 Find the measures of the missing angles t ? ?
108 72 ? 108
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LINES AND ANGLES List all pairs of angles that fit the description.
1 2 3 4 5 6 7 8 t List all pairs of angles that fit the description. Corresponding Alternate Interior Alternate Exterior Consecutive Interior HIDDEN MESSAGE MAN . BOARD
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Corresponding Angles 1 5 2 6 3 7 4 8 30
Two angles that occupy corresponding positions. t 1 5 2 6 3 7 4 8 Top Left Top Right 1 2 3 4 5 6 7 8 Bottom Left Bottom Right Top Left Top Right Bottom Left Bottom Right p. 131 & 143
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Corresponding 4 and 2 3 and 1 5 and 7 6 and 8 t 5 6 4 7 3 8 2
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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
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Alternate Interior 3 and 7 2 and 6 5 6 4 7 3 8 2 t 1
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Alternate Interior Angles
Find the measures of the missing angles t 82 98 ? 82
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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
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Alternate Exterior 5 and 1 4 and 8 5 6 4 7 3 8 2 t 1
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Alternate Exterior Angles
Find the measures of the missing angles t 120 ? 60 120
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Alternate Exterior Angles
Find the measures of the missing angles t 120 ? 60 120
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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
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Consecutive Interior 5 3 and 2 6 and 7 6 4 7 3 8 2 t 1
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Consecutive Interior Angles
Find the measures of the missing angles t 135 ? 45
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Find all angle measures
t 113 67 1 67 2 3 113 113 5 67 8 67 6 113 7
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Alternate Exterior Angles
Name the angle relationship Are they congruent or supplementary? Find the value of x t 5x = 125 125 x = 25 5x
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Corresponding Angles Name the angle relationship
Are they congruent or supplementary? Find the value of x t 2x + 1 = 151 2x + 1 2x = 150 151 x = 75
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Consecutive Interior Angles
Name the angle relationship Are they congruent or supplementary? Find the value of x supp t 7x = 180 7x + 96 = 180 81 7x = 84 7x + 15 x = 12
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Alternate Interior Angles
Name the angle relationship Are they congruent or supplementary? Find the value of x t 2x + 20 = 3x - 2x x 3x 20 = x 2x + 20
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