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Triangle Proofs

Triangle Proofs. T. J. M. E. State the reason for each statement:. T. J. M. E. Statements: E is the midpoint of MJ ME  JE TE MJ MET  JET TE  TE ∆MET  ∆JET. Reasons: Given Def. of midpoint. Given If 2 lines are , then they form  adjacent angles. Reflexive Property

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Triangle Proofs

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  1. Triangle Proofs T J M E

  2. State the reason for each statement: T J M E • Statements: • E is the midpoint of MJ • ME  JE • TE MJ • MET  JET • TE  TE • ∆MET  ∆JET • Reasons: • Given • Def. of midpoint. • Given • If 2 lines are , then they form  adjacent angles. • Reflexive Property • SAS Congruence Theorem Given: E is the midpoint of MJ. TE MJ. Prove: MET JET

  3. State the reason for each statement: C Given: AD ║EC BD  BC Prove: ∆ABD  ∆EBC A D E • Statements: • BD  BC • AD ║ EC • D  C • ABD  EBC • ∆ABD  ∆EBC • Reasons: • Given • Given • Alternate Interior Angles • Vertical Angles Theorem • ASA Congruence Theorem

  4. Prove PQR RSP  Statements: 1. 2. 3. 4. Reasons: 1. 2. 3. 4.

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