LINES AND ANGLES
PARALLEL LINES 28 Def: line that do not intersect. Illustration: Notation: l || m AB || CD A B C D l m p. 129
Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking Streets: Laramie & LeClaire
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
Ex. of Perpendicular Lines Window panes Streets: Belmont and Cicero
30 Transversal Def: a line that intersects two lines at different points Illustration: t p. 131
Vertical Angles 1 4 2 3 5 8 6 7 Two angles that are only touching by a vertex and are congruent angles. t 1 4 2 3 5 8 6 7 1 2 3 4 5 6 7 8
Vertical Angles Find the measures of the missing angles t 125 ? 55 ? 55
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
Supplementary Angles/ Linear Pair Find the measures of the missing angles t ? 108 72 180 - 72 ? 108
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
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 Angles Find the measures of the missing angles t 82 98 ? 82
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 Angles Find the measures of the missing angles t 120 ? 60 120
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 Angles Find the measures of the missing angles t 180 - 135 135 ? 45
Corresponding 4 and 2 3 and 1 5 and 7 6 and 8 t 5 6 4 7 3 8 2
Alternate Interior 3 and 7 2 and 6 5 6 4 7 3 8 2 t 1
Alternate Exterior 5 and 1 4 and 8 5 6 4 7 3 8 2 t 1
Consecutive Interior 5 3 and 2 6 and 7 6 4 7 3 8 2 t 1
Find all angle measures t 180 - 67 113 67 1 67 2 3 113 113 5 67 8 67 6 113 7
LINES AND ANGLES Part II: Equations
Alternate Exterior Angles Name the angle relationship Are they congruent or supplementary? Find the value of x t 5x = 125 125 5 5 x = 25 5x
Corresponding Angles Name the angle relationship Are they congruent or supplementary? Find the value of x t 2x + 1 = 151 - 1 - 1 2x + 1 2x = 150 2 2 151 x = 75
Consecutive Interior Angles Name the angle relationship Are they congruent or supplementary? Find the value of x supp t 7x + 15 + 81 = 180 7x + 96 = 180 - 96 - 96 81 7x = 84 7x + 15 7 7 x = 12
Alternate Interior Angles Name the angle relationship Are they congruent or supplementary? Find the value of x t 2x + 20 = 3x - 2x - 2x 3x 20 = x 2x + 20
Homework Honors Class: pg. 13-14 (1 - 12) All Other Common Core Classes: pg. 13-14 (1 - 7, 9, 11, 12) www.ixl.com Q1