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Lesson 4-3

Lesson 4-3. Transversals and Corresponding Angles. 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 4-3

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  1. Lesson 4-3 Transversals and Corresponding Angles

  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. Ohio Content Standards: Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations.

  6. Ohio Content Standards: Write, simplify and evaluate algebraic expressions (including formulas) to generalize situations and solve problems.

  7. Corresponding Angles

  8. Corresponding Angles t m 1 2 4 3 5 6 l 7 8

  9. Lines a and b are cut by transversal c. Name two pairs of corresponding angles. 1 2 5 6 c 3 4 7 8 a b

  10. Postulate 4-1Corresponding Angles

  11. Postulate 4-1Corresponding Angles If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

  12. Refer to the figure below. k 1 a 2 3 b 4

  13. Refer to the figure below. k 1 a 2 3 b 4

  14. Refer to the figure below. k 1 a 2 3 b 4

  15. Theorem 4-4Perpendicular Transversal

  16. Theorem 4-4Perpendicular Transversal If a transversal is perpendicular to one of two parallel lines, it is perpendicular to the other.

  17. In the figure, pllq, and transversal r is perpendicular to q. r q 2 p

  18. In the figure, pllq, and transversal r is perpendicular to q. r q 2 p

  19. Assignment:Pgs. 159-161 14-28 evens, 34-38 evens

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