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Review for Geometry test two

This guide explores two geometry proofs focusing on right angles and the angle addition postulate. The first proof demonstrates that angles ∠1 and ∠2 are congruent, established through definitions and the transitive property. The second proof utilizes the angle addition postulate to conclude that ∠AOC is a right angle by adding the measures of ∠AOB and ∠BOC. Each step is outlined with statements and reasons reflecting foundational concepts in geometry, designed to aid students in understanding and applying geometric proofs.

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Review for Geometry test two

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  1. Review for Geometry test two

  2. Statements Reasons • 1 is a right angle 1. given • 2 is a right angle 2. given • m 1 = 90 3. def of rt angle • m 2 = 90o 4. def of rt angle • m 1 = m 2 5. transitive property • 1  2 6. def of congruent angles

  3. Statements Reasons

  4. Statements Reasons

  5. statements reasons • mAOB = 30o; mBOC = 60o 1. given • mAOB + mBOC = m AOC 2. angle add post • 30o + 60o = m AOC 3. substitution • 90o = m AOC 4. simplify • AOC is a right angle 5. def of rt angle

  6. 1. CD = 4 2. BC =11

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