Transversals and Corresponding Angles 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: Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.

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

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

Corresponding Angles

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

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

Postulate 4-1 Corresponding Angles

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

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

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

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

Theorem 4-4 Perpendicular Transversal

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

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

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

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