1 / 25

LINE AND ANGLE RELATIONSHIPS

Explore different types of angles, parallel and perpendicular lines, transversals, and angle relationships. Learn about vertical, supplementary, complementary, corresponding, alternate interior, exterior, and consecutive interior angles in this comprehensive presentation.

ihaynes
Download Presentation

LINE AND ANGLE RELATIONSHIPS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related