1. Transversals and Corresponding Angles
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
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 4-1 Corresponding Angles

11. Postulate 4-1 Corresponding 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 4-4 Perpendicular Transversal

16. Theorem 4-4 Perpendicular 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.2 p

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

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