Two lines and a Transversal Jeff Bivin & Katie Nerroth Lake Zurich High School jeff.bivin@lz95.org katie.nerroth@lz95.org Last Updated: November 18, 2005

2 1 3 4 5 6 7 8

EXTERIOR 2 1 3 4 INTERIOR 5 6 7 8 EXTERIOR

Alternate Interior Angles 2 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

Alternate Exterior Angles 2 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

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

Same Side Interior Angles 2 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

Same Side Exterior Angles 2 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

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

5 3 7 6 4 8 1 2

∠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

Alternate Exterior Angles 5 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

∠1 & ∠ 3 ∠ 7 & ∠ 8 Which angles are alternate interior angles? 5 3 3 7 6 4 8 8 1 1 2 Which angles are alternate interior angles? ∠1 & ∠ 3 ∠ 7 & ∠ 8

∠1 & ∠ 8 ∠ 7 & ∠ 3 Which angles are same side interior angles? 5 3 3 7 6 4 8 8 1 1 2 Which angles are same side interior angles? ∠1 & ∠ 8 ∠ 7 & ∠ 3

1 2 3 4 5 6 7 8

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

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

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

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

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

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

Same Side Interior What type of angles are ∠6 and ∠7? 1 2 3 4 5 6 6 7 8 What type of angles are ∠6 and ∠7? Same Side Interior