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Geometry Chapter 3: Lines and Angles Information

Exploring properties of lines and angles when intersected by transversals in parallel line scenarios, solving for angles using theorems/postulates. Understand angles relationships in geometry.

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Geometry Chapter 3: Lines and Angles Information

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  1. Parallel LinesAngle Information Chapter 03 Geometry A BowerPoint Presentation

  2. If lines, then corr s If lm 15263748

  3. If lines, then corr s Solve for x.

  4. If lines, then corr s Solve for x. 5x = 125, so x = 25

  5. If lines, then alt int s If lm 36 &4 5

  6. If lines, then alt int s Solve for x.

  7. If lines, then alt int s Solve for x. 3x + 8 = 56, so x = 16

  8. If lines, then alt ext s If lm 18 &2 7

  9. If lines, then alt ext s Solve for x.

  10. If lines, then alt ext s Solve for x. 7x = 4x + 60, so x = 20

  11. If lines, then s-s int s are supps If lm 3 & 5 and4&6 are supps are supps

  12. If lines, then s-s int s are supps Solve for x.

  13. If lines, then s-s int s are supps Solve for x. 60 + 12x = 180, so x = 10

  14. If you know one angle… When two parallel lines are cut by a transversal, if you know the measure of one angle…

  15. If you know one angle… When two parallel lines are cut by a transversal, if you know the measure of one angle… You know the measures of ALL 8 ANGLES!!!

  16. If you know one angle… One angle has a measure of 45°. What are the measures of the other seven angles?

  17. If you know one angle… One angle has a measure of 45°. What are the measures of the other seven angles? What theorems/postulates did you use?

  18. Transversal Theorem In words, here is the Perpendicular Transversal Theorem: In a plane  2 lines are perpendicular to the same transversal IF AND ONLY IF the 2 lines are parallel to each other

  19. Transversal Theorem In a plane l t & m t l m

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