Angles Formed by Parallel Lines and a Transversal

Vertical Angles

What is the relationship between Vertical Angles?

Vertical Angles have not relationship to each other. Vertical Angles are Supplementary (add to 180 degrees). Vertical Angles are Congruent ([math]\cong[/math]). Vertical Angles are Complementary (add to 90 degrees).

Cooresponding Angles

What is the relationship between Corresponding Angles?

Corresponding Angles are Congruent ([math]\cong[/math]). Corresponding Angles are Supplementary (add to 180 degrees). Corresponding Angles have not relationship to each other. Corresponding Angles are Complementary (add to 90 degrees).

Alternate Interior Angles

What is the relationship between Alternate Interior Angles?

Alternate Interior Angles are Complementary (add to 90 degrees). Alternate Interior Angles are Congruent ([math]\cong[/math]). Alternate Interior Angles are Supplementary (add to 180 degrees). Alternate Interior Angles have not relationship to each other.

Supplementary Angles

Putting It All Together

[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]

What other supplementary angle pairs can you identify?

Which types of Angles are Congruent?

Alternate Interior Angles Consecutive or Same Side Exterior Angles Alternate Exterior Angles Vertical Angles Consecutive or Same Side Interior Angles Corresponding Angles

Which types of Angles are Supplementary?

Vertical Angles Alternate Interior Angles Alternate Exterior Angles Consecutive or Same Side Exterior Angles Corresponding Angles Consecutive or Same Side Interior Angles