CHAPTER 3 LINES AND ANGLES Free powerpoints at

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Presentation transcript:

CHAPTER 3 LINES AND ANGLES Free powerpoints at

PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l | | m AB | | CD l m A B C D p

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 Def: Lines that intersect to form a right angle. Illustration: Notation: m  n Key Fact: 4 right angles are formed. m n p

Ex. of Perpendicular Lines Window panes Streets: Belmont and Cicero

Def: a line that intersects two lines at different points Illustration: Transversal t p

Vertical Angles Two angles that are opposite angles t  1   4  2   3  5   8  6   7

Vertical Angles Find the measures of the missing angles 125  ? ? 55  t 125 

Supplementary Angles/ Linear Pair Two angles that form a line (sum=180  ) t  5+  6=180  6+  8=180  8+  7=180  7+  5=180  1+  2=180  2+  4=180  4+  3=180  3+  1=180

Supplementary Angles/ Linear Pair Find the measures of the missing angles ? 72  ? t 108 

Corresponding Angles Two angles that occupy corresponding positions. Top Left t Top Right Bottom Right Bottom Left 11   5 22   6 33   7 44   p. 131 &

Corresponding Angles Find the measures of the missing angles 145  ? t 35  145 

Alternate Interior Angles Two angles that lie between parallel lines on opposite sides of the transversal t 33   6 44   p. 131 &

Alternate Interior Angles Find the measures of the missing angles 82  ? t 98  82 

Alternate Exterior Angles Two angles that lie outside parallel lines on opposite sides of the transversal t 22   7 11   p. 131 &

Alternate Exterior Angles Find the measures of the missing angles 120  ? t 60  120 

Consecutive Interior Angles Two angles that lie between parallel lines on the same sides of the transversal t 33 +  5 = 180 44 +  6 = p. 131 &

Consecutive Interior Angles Find the measures of the missing angles ? t 135  45 

HW P. 132 – 133 # 6 – 9 # 21 – 26 P #7 - 17