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Lesson 3-2

Lesson 3-2. Angles and Parallel Lines. Ohio Content Standards:. Ohio Content Standards:. Formally define geometric figures. Ohio Content Standards:. Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

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Lesson 3-2

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  1. Lesson 3-2 Angles and Parallel Lines

  2. Ohio Content Standards:

  3. Ohio Content Standards: Formally define geometric figures.

  4. Ohio Content Standards: Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

  5. Ohio Content Standards: Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.

  6. Postulate 3.1

  7. Postulate 3.1 Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles are congruent.

  8. 1 4 5 8 Postulate 3.1 Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles are congruent.

  9. z 10 11 x 12 13 14 15 y 16 17

  10. Theorem 3.1

  11. Theorem 3.1 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate interior angles are congruent.

  12. Theorem 3.1 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate interior angles are congruent. 3 4 5 6

  13. Theorem 3.2

  14. Theorem 3.2 Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

  15. Theorem 3.2 Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. 3 4 5 6

  16. Theorem 3.3

  17. Theorem 3.3 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent.

  18. Theorem 3.3 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent. 1 2 7 8

  19. Theorem 3.4

  20. Theorem 3.4 Perpendicular Transversal Theorem In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

  21. Theorem 3.4 Perpendicular Transversal Theorem In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. l m n

  22. R M N S 60° T U 65° P Q V

  23. m n 6 p 5 q 7

  24. Assignment:Pgs. 136-138 14-34 evens, 48-58 evens

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