Presentation on theme: "2.6 Proving Angles Congruent"— Presentation transcript:
1 2.6 Proving Angles Congruent A theorem - a conjecture or statement that you prove true.Theorem 2.1 – Vertical Angles TheoremVertical angles are congruent.
2 Using the Vertical Angles Theorem What is the value of x?2x + 21 = 4x21 = 2x10.5 = x
3 Congruent Supplements Theorem If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.If and are supplements and and are supplements, then
4 Theorems Theorem 2.3 – Congruent Complements Theorem If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent.Theorem 2.4 – All right angles are congruent.Theorem 2.5 – If two angles are congruent and supplementary, then each is a right angle.