Proving Theorems about Lines and Angles: Mastery Test

In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?

m∠3 = m∠6

m∠6 is

115.24°

m∠4 is

64.76°

Given: See the diagram. Prove: DC = DB What is the reason for the fourth and eighth steps in the proof? quiz

ASA criterion for congruent triangles incorrect

corresponding angles

∠1, ∠5 and ∠2, ∠6

alternate exterior angles

∠1, ∠8 and ∠2, ∠7

vertical angles

∠2, ∠3 and ∠5, ∠8

alternate interior angles

∠3, ∠6 and ∠4, ∠5

Transversal t cuts parallel lines r and s. Which angles must be congruent to ∠2?

∠3, ∠6, and ∠7