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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 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 • SAS Congruence Theorem Given: E is the midpoint of MJ. TE MJ. Prove: MET JET
State the reason for each statement: Given: AD ║EC BD BC Prove: ∆ABD ∆EBC • Statements: • BD BC • AD ║ EC • D C • ABD EBC • ∆ABD ∆EBC • Reasons: • Given • Given • Alternate Interior Angles • Vertical Angles Theorem • ASA Congruence Theorem
Prove ∆PQR ∆RSP Given: QP RS Prove: ∆PQR is congruent to ∆RSP Statements: 1. 2. 3. 4. Reasons: 1. 2. 3. 4.
Prove ∆ABD ∆ACD Given: Prove: ∆ABD is congruent to ∆ACD Statements: 1. 2. 3. 4. Reasons: 1. 2. 3. 4.
Prove ∆ABC ∆DEC … are they? Given: Prove: ∆ABC is congruent to ∆DEC Statements: 1. 2. 3. 4. 5. Reasons: 1. 2. 3. 4. 5. What is the problem here??