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Triangle Proofs J E T M. 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.

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Presentation on theme: "Triangle Proofs J E T M. 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."— Presentation transcript:

1 Triangle Proofs J E T M

2 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

3 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

4 Prove ∆PQR ∆RSP  Statements: Reasons:

5 Prove ∆ABD ∆ACD  Statements: Reasons:

6 Prove ∆ABC ∆DEC … are they?  Statements: Reasons: What is the problem here??


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