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Transcript
Geometry 2.6 Proving Statements about Angles Theorem 2.2 Properties of Angle Congruence Angle congruence is reflexive, symmetric, and transitive! Let’s prove the Transitive Property of Angle Congruence, and then use it in a proof. Theorem 2.3 Right Angle Congruence Theorem All right angles are congruent! Let’s prove the Right Angle Congruence Theorem Theorem 2.4 Congruent Supplements Theorem If two angles are supplementary to the same angle (or to congruent angles) then they are congruent! If measure of angle 1 + measure of angle 2 = 180 and measure of angle 2 + measure of angle 3 = 180, then angle 1 is congruent to angle 3 Let’s prove the Congruent Supplements Theorem Theorem 2.5 Congruent Complements Theorem If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent! If measure of angle 4 + measure of angle 5 = 90 and measure of angle 5 + measure of angle 6 = 90, then angle 4 is congruent to angle 6 Postulate 12 Linear Pair Postulate If two angles form a linear pair, then they are supplementary. Theorem 2.6 Vertical Angles Theorem Vertical angles are congruent!
