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Lesson 4-2

Lesson 4-2. Parallel Lines and Transversals. Ohio Content Standards:. Ohio Content Standards:. Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines. Ohio Content Standards:.

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Lesson 4-2

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  1. Lesson 4-2 Parallel Lines and Transversals

  2. Ohio Content Standards:

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

  4. 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.

  5. Transversal

  6. Transversal A line that intersects two or more lines, each at different points.

  7. Transversal A line that intersects two or more lines, each at different points. b 1 2 4 3 5 6 c 8 7 r

  8. Transversal A line that intersects two or more lines, each at different points. b 1 2 Interior Angles 4 3 5 6 c 8 7 r

  9. Transversal A line that intersects two or more lines, each at different points. b 1 2 Exterior Angles 4 3 5 6 c 8 7 r

  10. Transversal A line that intersects two or more lines, each at different points. b 1 2 Alternate Interior Angles 4 3 5 6 c 8 7 r

  11. Transversal A line that intersects two or more lines, each at different points. b 1 2 Alternate Exterior Angles 4 3 5 6 c 8 7 r

  12. Transversal A line that intersects two or more lines, each at different points. b 1 2 Consecutive Interior Angles 4 3 5 6 c 8 7 r

  13. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical.

  14. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

  15. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

  16. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

  17. Theorem 4-1Alternate Interior Angles

  18. Theorem 4-1Alternate Interior Angles If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

  19. Theorem 4-1Alternate Interior Angles If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent. 4 3 5 6

  20. Theorem 4-2Consecutive Interior Angles

  21. Theorem 4-2Consecutive Interior Angles If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

  22. Theorem 4-2Consecutive Interior Angles If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. 4 3 5 6

  23. Theorem 4-3Alternate Exterior Angles

  24. Theorem 4-3Alternate Exterior Angles If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

  25. Theorem 4-3Alternate Exterior Angles If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent. 1 2 8 7

  26. p q 7 r 5 1 2 3 6 4 8

  27. t 6 7 B A 8 9 C D

  28. k a 1 (3x+10)° 2 (4x-5)° b

  29. Assignment:Pgs. 152-153 14-38 evens

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