1. Parallel Lines Cut by Transversal Created by Mrs. Bentley

2. Vocabulary Parallel lines Transversal Supplementary angles Complementary angles Vertical Angles Adjacent angles. Alternate exterior angels Alternate interior angles Same side interior angles Corresponding angles Straight Angles Linear pair

3. Parallel Lines ǁ - two or more lines that lie on the same plane and never intersect; l and m Transversal - a line that intersects two or more lines on the same plane; n l m n

4. 1 2 3 4 5 6 7 8 Interior Exterior

5. 1 2 3 4 5 6 7 8 Vertical Angles - two opposite angles formed when two lines intersect; ∠ 1 & 4 ∠ 2 & 3 ∠ 5 &8 ∠ 6 & 7 Vertical angles are congruent

6. 1 2 7 8 Alternate Exterior Angles - two angles on the opposite side of the transversal- outside; ∠ 1 & 8 ∠ 2 & 7 Alternate Exterior Angles are congruent

7. 3 4 5 6 Alternate Interior Angles - two angles on the opposite side of the transversal- inside; ∠ 3 & 6 ∠ 4 & 5 Alternate Interior Angles are congruent

8. 1 2 3 4 5 6 7 8 Corresponding Angles - angles on the same side of the transversal, in the same position of the parallel lines; ∠ 1 & 5 ∠ 3 & 7 ∠ 2 & 6 ∠ 4 & 8 Corresponding angles are congruent

9. 3 4 5 6 Same Side Interior Angles - two angles on the same side of the transversal-inside; ∠ 3 & 5 ∠ 4 & 6 Same Side Interior Angles are Supplementary angles equaling 180°

10. Straight Angle – an angle that measures 180°

11. Supplementary Angles - the sum of two angles that measures 180°; Also Adjacent Angles because they share a common vertex 65° 115°

12. Complementary Angles – a right angle / the sum of two angles that measures 90°; 45°

13. 1 2 3 4 5 6 7 8 Angle Measurement ∠ 1 = 60° ∠ 2 = 120° ∠ 3 = 120° ∠ 4 = 60° ∠ 5 = 60° ∠ 6 = 120° ∠ 7 = 120° ∠ 8 = 60° 60° 120°