2. CHAPTER 3 LINES AND ANGLES

3. PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l | | m AB | | CD l m A B C D p. 129 28

4. Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking Streets: Laramie & LeClaire

5. Examples of Parallel Lines Streets: Belmont & School

6. 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 29

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

8. Def: a line that intersects two lines at different points Illustration: Transversal t p. 131 30

9. Vertical Angles Two angles that are opposite angles. 12 3 4 5 6 78 t  1   4  2   3  5   8  6   7

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

11. Supplementary Angles/ Linear Pair Two angles that form a line (sum=180  ) 12 3 4 5 6 78 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

12. Supplementary Angles/ Linear Pair Find the measures of the missing angles ? 72  ? t 108  180 - 72

13. 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   8 1 2 34 5 6 78 p. 131 & 143 30

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

15. Alternate Interior Angles Two angles that lie between parallel lines on opposite sides of the transversal t 33   6 44   5 1 2 34 5 6 78 p. 131 & 143 30

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

17. Alternate Exterior Angles Two angles that lie outside parallel lines on opposite sides of the transversal t 22   7 11   8 1 2 34 5 6 78 p. 131 & 143 30

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

19. 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 = 180 1 2 34 5 6 78 p. 131 & 143 30

20. Consecutive Interior Angles Find the measures of the missing angles ? t 135  45  180 - 135

21. HW P. 132 – 133 # 6 – 9 # 21 – 26 P. 146 - 147 #7 - 17

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