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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:.
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Lesson 4-2 Parallel Lines and Transversals
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 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 c 8 7 r
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
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
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
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
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
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
Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8
Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8
Theorem 4-1Alternate Interior Angles If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.
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
Theorem 4-2Consecutive Interior Angles If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.
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
Theorem 4-3Alternate Exterior Angles If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
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
p q 7 r 5 1 2 3 6 4 8
t 6 7 B A 8 9 C D
k a 1 (3x+10)° 2 (4x-5)° b