Lesson 4 2 Parallel Lines and Transversals Ohio

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

Ohio Content Standards: Recognize the angles formed and the relationship between the angles when

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

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

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

Theorem 4 -1 Alternate Interior Angles If two parallel lines are cut by a

Theorem 4 -1 Alternate Interior Angles 4 3 5 6 If two parallel lines

Theorem 4 -2 Consecutive Interior Angles

Theorem 4 -2 Consecutive Interior Angles If two parallel lines are cut by a

Theorem 4 -2 Consecutive Interior Angles 4 3 5 6 If two parallel lines

Theorem 4 -3 Alternate Exterior Angles If two parallel lines are cut by a

Theorem 4 -3 Alternate Exterior Angles 1 2 8 7 If two parallel lines

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

Transversal

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

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

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

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

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

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

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

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

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

Theorem 4 -1 Alternate Interior Angles

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

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

Theorem 4 -2 Consecutive Interior Angles

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

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

Theorem 4 -3 Alternate Exterior Angles

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

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

p q 5 1 6 2 3 7 r 4 8

t 6 A 7 8 C B 9 D

k 1 (3 x+10)° 2 (4 x-5)° a b

Assignment: Pgs. 152 -153 14 -38 evens