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Triangle Proofs J E T M

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State the reason for each statement: J E T M Given: E is the midpoint of MJ. TE MJ. Prove: MET JET Statements: 1. E is the midpoint of MJ 2. ME JE 3. TE MJ 4. MET JET 5. TE TE 6. ∆MET ∆JET Reasons: 1. Given 2. Def. of midpoint. 3. Given 4. If 2 lines are, then they form adjacent angles. 5. Reflexive Property 6. SAS Congruence Theorem

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State the reason for each statement: Statements: 1. BD BC 2. AD ║ EC 3. D C 4. ABD EBC 5. ∆ABD ∆EBC Reasons: 1. Given 2. Given 3. Alternate Interior Angles 4. Vertical Angles Theorem 5. ASA Congruence Theorem Given: AD ║EC BD BC Prove: ∆ABD ∆EBC

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

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Prove ∆ABD ∆ACD Statements: 1. 2. 3. 4. Reasons: 1. 2. 3. 4.

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Prove ∆ABC ∆DEC … are they? Statements: 1. 2. 3. 4. 5. Reasons: 1. 2. 3. 4. 5. What is the problem here??

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4.4 Proving Triangles are Congruent: ASA and AAS

4.4 Proving Triangles are Congruent: ASA and AAS

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