Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM...
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Transcript of Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM...
Warm-up Problems
State the property that justifies each statement.
1. 2(LM + NO) = 2LM + 2NO.
2. If mR = mS, then mR + mT = mS + mT.
3. mZ = mZ.
4. If BC = CD and CD = EF, then BC = EF.
5. Which property justifies the statement: If 90 = mI, then mI = 90?
• Write proofs involving segment addition.
• Write proofs involving segment congruence.
Proof with Segment Addition
1. GivenPR = QS1.
2. Subtraction PropertyPR – QR = QS – QR2.
3. Segment Addition Postulate
PR – QR = PQ; QS – QR = RS
3.
4. SubstitutionPQ = RS4.
Proof:Statements Reasons
Prove the following.
Given: PR = QSProve: PQ = RS
1. GivenAC = AB, AB = BX1.
2. Transitive PropertyAC = BX2.
3. GivenCY = XD3.
4. Addition PropertyAC + CY = BX + XD4.
AY = BD 6. Substitution6.
Proof:Statements Reasons
Which choice correctly completes the proof?
5. ________________AC + CY = AY; BX + XD = BD
5. ?
A. A
B. B
C. C
D. D
A. Addition Property
B. Substitution
C. Definition of congruent symbols
D. Segment Addition Postulate
Proof with Segment Congruence
5. Symmetric Property5.
Proof:Statements Reasons
1. Given1.
2. Definition of congruent segments
2.
3. Given3.
4. Transitive Property4.
Which choice correctly completes the proof?
Proof:Statements Reasons
1. Given1.
2. Transitive Property2.
3. Given3.
4. Transitive Property4.
5. _______________5. ?
1. A
2. B
3. C
4. D
A. Substitution
B. Symmetric Property
C. Segment Addition Postulate
D. Reflexive Property