Segments, angle pairs, transversals, and parallel lines — everything you need for two-column proofs, organized by lesson.
Reasons bank
GivenDef. of MidpointDef. of Vertical AnglesDef. of Linear PairDef. of Complementary/SupplementaryDef. of Congruent AnglesSegment Addition Post.Linear Pair Post.Vertical Angles Thm.Triangle Sum Thm.Triangle Sum CorollaryExterior Angle Thm.Corresponding ∠s Post.Alt. Interior ∠s Thm.Alt. Exterior ∠s Thm.Consecutive Int. ∠s Thm.SubstitutionReflexiveTransitiveAdd./Sub. Prop. of Equality
Before you submit a proof
✓Does every statement have a reason that actually matches it?
✓Did you use the Given info in your first line(s)?
✓Proving a converse theorem? Make sure you didn't cite that same theorem.
✓Named both the transversal and the two lines it crosses?
✓Exterior angle problem? Confirm it forms a linear pair AND sits outside the triangle.