Download - Triangle Proofs
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Triangle Proofs
B
A
ED
C
J
E
T
M
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State the reason for each statement:
JE
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. Given2. Def. of midpoint.3. Given4. If 2 lines are , then they form
adjacent angles.5. Reflexive Property6. SAS Congruence Theorem
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State the reason for each statement:
Statements:1. BD BC
2. AD ║ EC
3. D C4. ABD EBC
5. ∆ABD ∆EBC
B
A
ED
C
Reasons:1. Given2. Given3. Alternate Interior Angles4. Vertical Angles Theorem5. ASA Congruence Theorem
Given: AD ║EC BD BCProve: ∆ABD ∆EBC
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Prove ∆PQR ∆RSP
Statements:1.
2.
3.
4.
Reasons:1.
2.
3.
4.
Given: QP RS and QP = RSProve: ∆PQR is congruent to ∆RSP
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Prove ∆ABD ∆ACD
Statements:1.
2.
3.
4.
Reasons:1.
2.
3.
4.
Given: Prove: ∆ABD is congruent to ∆ACD
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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??
Given: Prove: ∆ABC is congruent to ∆DEC