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Right Angle Theorem Outcome: I will prove geometry concepts using congruent supplementary angles. 28. Theorem 23 If two angles are both supplementary and congruent, then they are right angles. ACB ACD ACB and ACD are right angles Example #1 Given: AB AC BD CD Prove: AD is an altitude (9) Example #2 Given: AB AD BC CD Prove: AC is bisector of BD (13) Example #3 Given: P and Q intersect at points A and B Prove: PQ AB (13) Example #4 Given: A BAC DAC Prove: AC BD (10) Practice Page 182-183: #1(11), 3(10), 4(10), 5, and 14