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LINE AND ANGLE RELATIONSHIPS

LINE AND ANGLE RELATIONSHIPS. Free powerpoints at http://www.worldofteaching.com. TYPES OF ANGLES. Acute Angles have measures less than 90°. Right Angles have measures equal to 90°. Obtuse Angles have measures between 90° and 180°. Straight Angles have measures equal to 180°. B. A. D. l.

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LINE AND ANGLE RELATIONSHIPS

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  1. LINE AND ANGLE RELATIONSHIPS Free powerpoints at http://www.worldofteaching.com

  2. TYPES OF ANGLES • Acute Angles have measures less than 90°. • Right Angles have measures equal to 90°. • Obtuse Angles have measures between 90° and 180°. • Straight Angles have measures equal to 180°

  3. B A D l C m PARALLEL LINES • Def: Lines that do not intersect. Parallel lines are always the same distance apart. • Illustration: • Notation:l || mAB|| CD

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

  5. Transversal • Def: A line that intersects two lines at different points. • Illustration: t

  6. 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

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

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

  9. Angle Relationships • Complementary Angles are two angles whose sum is 90°. • Supplementary Angles are two angles whose sum is 180°. • Angles do not have to be Adjacent to be Complementary or Supplementary. • Adjacent Angles are two angles that share a common side.

  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 ? 72  180 - 72 ?

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

  13. 1 2 3 4 5 6 7 8 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

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

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

  16. 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

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

  18. Alternate Interior Angles • Find the measures of the missing angles t 82  82  98 

  19. 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

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

  21. Alternate Exterior Angles • Find the measures of the missing angles t 120  120  60 

  22. 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

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

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

  25. This presentation is a modified version of the Slideshow: “Lines and Angles 2” by Miss Patel. The original Slideshow Presentation can be found atwww.worldofteaching.com

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