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Lines and Angles - Examples and Definitions

This PowerPoint presentation provides examples and definitions of parallel lines, perpendicular lines, transversals, vertical angles, supplementary angles, corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.

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Lines and Angles - Examples and Definitions

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  1. CHAPTER 3 LINES AND ANGLES

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

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

  4. Examples of Parallel Lines • Streets: Belmont & School

  5. m n 29 PERPENDICULAR LINES • Def: Lines that intersect to form a right angle. • Illustration: • Notation:m n • Key Fact: 4 right angles are formed. p. 79

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

  7. 30 Transversal • Def: a line that intersects two lines at different points • Illustration: t p. 131

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

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

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

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

  12. 1 2 3 4 5 6 7 8 30 Corresponding Angles • Two angles that occupy corresponding positions. t • 15 • 2  6 • 3  7 • 4  8 Top Left Top Right Bottom Left Bottom Right Top Left Top Right Bottom Left Bottom Right p. 131 & 143

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

  14. 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

  15. Alternate InteriorAngles • Find the measures of the missing angles t 82  82  98  ?

  16. 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

  17. Alternate ExteriorAngles • Find the measures of the missing angles t 120  ? 120  60 

  18. 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

  19. Consecutive InteriorAngles • Find the measures of the missing angles t 180 - 135 135  45  ?

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

  21. This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.

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