lesson 7 menu warm-up problems state the property that justifies each statement. 1.2(lm + no) = 2lm...
TRANSCRIPT
![Page 1: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/1.jpg)
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?
![Page 2: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/2.jpg)
• Write proofs involving segment addition.
• Write proofs involving segment congruence.
![Page 5: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/5.jpg)
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
![Page 7: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/7.jpg)
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. ?
![Page 8: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/8.jpg)
A. A
B. B
C. C
D. D
A. Addition Property
B. Substitution
C. Definition of congruent symbols
D. Segment Addition Postulate
![Page 11: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/11.jpg)
Proof with Segment Congruence
5. Symmetric Property5.
Proof:Statements Reasons
1. Given1.
2. Definition of congruent segments
2.
3. Given3.
4. Transitive Property4.
![Page 13: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/13.jpg)
Which choice correctly completes the proof?
Proof:Statements Reasons
1. Given1.
2. Transitive Property2.
3. Given3.
4. Transitive Property4.
5. _______________5. ?
![Page 14: Lesson 7 Menu Warm-up Problems State the property that justifies each statement. 1.2(LM + NO) = 2LM + 2NO. 2.If m R = m S, then m R + m T = m](https://reader036.vdocuments.site/reader036/viewer/2022062409/5697bfed1a28abf838cb8c42/html5/thumbnails/14.jpg)
1. A
2. B
3. C
4. D
A. Substitution
B. Symmetric Property
C. Segment Addition Postulate
D. Reflexive Property