1. Two lines and a Transversal
Jeff Bivin & Katie Nerroth
Lake Zurich High School
Last Updated: November 18, 2005

2. 2 1 3 4 5 6 7 8

3. EXTERIOR 2 1 3 4
INTERIOR 5 6 7 8
EXTERIOR

4. Alternate Interior Angles2 1 3 3 4 4 5 5 6 6 7 8
Alternate Interior Angles
a pair of angles formed by 2 lines and a transversal that
Must lie in the interior of the figure
Are on alternate sides of the transversal
Must have different vertices

5. Alternate Exterior Angles2 2 1 1 3 4 5 6 7 7 8 8
Alternate Exterior Angles
a pair of angles formed by 2 lines and a transversal that
Must lie in the exterior of the figure
Are on alternate sides of the transversal
Must have different vertices

6. 2 2 1 1 3 3 4 4 5 5 6 6 7 7 8 8
Corresponding Angles
a pair of angles formed by 2 lines and a transversal that
One angle lies in the exterior of the figure and one angle must lie in the interior
Are on the same side of the transversal
Must have different vertices

7. Same Side Interior Angles2 1 3 3 4 4 5 5 6 6 7 8
Same Side Interior Angles
a pair of angles formed by 2 lines and a transversal that
Must lie in the interior of the figure
Are on the same side of the transversal
Must have different vertices

8. Same Side Exterior Angles2 2 1 1 3 4 5 6 7 7 8 8
Same Side Exterior Angles
a pair of angles formed by 2 lines and a transversal that
Must lie in the exterior of the figure
Are on the same side of the transversal
Must have different vertices

9. 2 2 1 1 3 3 4 4 5 5 6 6 7 7 8 8
Vertical Angles
a pair of angles such that the rays forming the sides of one and the rays forming the sides of the other are opposite rays
Must have the same vertex

10. 5 3 7 6 4 8 1 2

11. ∠1 and ∠ 4 ∠2 and ∠ 8 ∠3 and ∠ 6 ∠5 and ∠ 7
Which Angles are Corresponding Angles?
∠1 and ∠ 4
∠2 and ∠ 8
∠3 and ∠ 6
∠5 and ∠ 7

12. Alternate Exterior Angles5 5 3 7 6 6 4 4 8 1 2 2
What type of angles are ∠6 and ∠4?
Alternate Exterior Angles
What other angles are alternate exterior angles?
∠2 and ∠ 5

13. ∠1 & ∠ 3 ∠ 7 & ∠ 8 Which angles are alternate interior angles? 5 3 3 76 4 8 8 1 1 2
Which angles are alternate interior angles?
∠1 & ∠ 3
∠ 7 & ∠ 8

14. ∠1 & ∠ 8 ∠ 7 & ∠ 3 Which angles are same side interior angles? 5 3 3 76 4 8 8 1 1 2
Which angles are same side interior angles?
∠1 & ∠ 8
∠ 7 & ∠ 3

15. 1 2 3 4 5 6 7 8

16. Alternate Exterior What type of angles are ∠1 and ∠8? 1 1 2 3 4 5 6 7

17. 1 1 2 3 3 4 5 6 7 8
What type of angles are ∠1 and ∠3?
Corresponding

18. Alternate Interior What type of angles are ∠6 and ∠3? 1 2 3 3 4 5 6 67 8
What type of angles are ∠6 and ∠3?
Alternate Interior

19. Alternate Exterior What type of angles are ∠5 and ∠4? 1 2 3 4 4 5 5 67 8
What type of angles are ∠5 and ∠4?
Alternate Exterior

20. 1 2 2 3 4 5 5 6 7 8
What type of angles are ∠5 and ∠2?
Vertical

21. Alternate Interior What type of angles are ∠2 and ∠7? 1 2 2 3 4 5 6 78
What type of angles are ∠2 and ∠7?
Alternate Interior

22. Same Side Interior What type of angles are ∠6 and ∠7? 1 2 3 4 5 6 6 78
What type of angles are ∠6 and ∠7?
Same Side Interior