# Lesson 4 2 Parallel Lines and Transversals Ohio

- Slides: 29

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

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 -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

- Lesson 4-2 transversals and parallel lines
- Supplementary angles transversal
- Lesson 3-2 angles and parallel lines answers
- Transversal and parallel lines worksheet answers lesson 4-2
- Refers to angles that lie outside of the parallel lines.
- Same side interior angles
- Equations of parallel lines worksheet
- Non parallel lines cut by a transversal
- 14-2 transversals and parallel lines
- Parallel planes
- Honors geometry parallel lines and transversals worksheet
- Transversal guided notes
- 2-7 parallel lines and transversals
- Quiz 3-1 parallel lines transversals and angles
- Parallel lines and transversals definitions
- Transversal postulate
- 3-2 angles formed by parallel lines and transversals
- Parallel lines
- Corresponding angles
- Def of parallel lines
- Type lines fingerprint
- Lesson 8 parallel and perpendicular lines
- Congruent angles on parallel lines
- Lesson 2-4 slopes of parallel and perpendicular lines
- Lesson 12-4 slopes of parallel and perpendicular lines
- Slopes of parallel and perpendicular lines lesson 8-1
- Properties of perpendicular lines
- Lesson 1-3 segments rays parallel lines and planes
- 7-5 parallel lines and proportional parts
- Lesson 3-5 proving lines parallel