Download HW Day 17 Name___________________ 2.4 WS Reasoning Using

HW Day 17
2.4 WS Reasoning Using Properties from Algebra
Name___________________
Period______Date_________
____
1. Which of the following is an example of the Transitive Property?
a.
b.
c.
d.
____
2. If PQ = 3 and PQ + RS = 5, then 3 + RS = 5 is an example of the __________.
a. Substitution Property of Equality
b. Multiplication Property of Equality
c. Transitive Property of Equality
d. Reflexive Property of Equality
bisects HNK.
3.
a. Write an equation that shows the relationship between mHNJ and mJNK.
b. Solve the equation and write a reason for each step.
c. Find mHNK. Explain how you got your answer.
.
4. Name the property which justifies the following conclusion:
Given:
Conclusion:
5. Name the property which justifies the following conclusion:
Given:
Conclusion:
Identify the property that makes the statement true.
6. If XY = MN, then MN = XY.
7. If mP = mR and mR = mT, then mP = mT.
8. If MP = PQ and PQ = QR, then MP = QR.
9. If m1 + m2 = 25° and m1 = 9°, then
10. Solve the equations and write a reason for each step:
a)
b)
c)
.
2.4 WS
Answer Section
1. ANS: D
PTS: 1
DIF: Level A
REF: MLGE0178
NAT: NCTM 9-12.ALG.2.b
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: equality | symmetric | transitive | reflexive
BLM: Knowledge
NOT: 978-0-618-65613-4
2. ANS: A
PTS: 1
DIF: Level A
REF: MHGT0089
NAT: NCTM 9-12.ALG.2.b
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | substitution | multiplication | transitive | reflexive
BLM: Knowledge NOT: 978-0-618-65613-4
3. ANS:
a. 3x – 4 = 2(x + 2)
b. x = 8. 3x – 4 = 2x + 4, Distributive Property; 3x = 2x + 8, Addition Property of Equality; x = 8, Subtraction
Property of Equality
c. mHNK = 40. If x = 8, then mHNJ = 3(8) – 4 = 20 and mJNK = 2(8 + 2) = 20. mHNK = mHNJ +
mJNK = 20 + 20 = 40.
PTS: 1
DIF: Level C
REF: GEO.02.05.MS.04
NAT: NCTM 9-12.ALG.2.b | NCTM 9-12.ALG.2.c
STA: AZ.AZGLA.MTH.03.9-12.3.2.PO 7 | AZ.AZGLA.MTH.03.9-12.3.3.PO 4 |
AZ.AZGLA.MTH.03.9-12.3.3.PO 5
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: Multi-Step | Angle bisector | Algebra
BLM: Analysis
NOT: 978-0-618-65613-4
4. ANS:
Substitution property of equality
PTS: 1
DIF: Level B
REF: MLGE0454 NAT: NCTM 9-12.ALG.2.b
STA: AZ.AZGLA.MTH.03.9-12.1.1.PO 2
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | distributive | substitution | algebra | equality | transitive
BLM: Comprehension
NOT: 978-0-618-65613-4
5. ANS:
Multiplication property of equality
PTS: 1
DIF: Level B
REF: MLGE0455 NAT: NCTM 9-12.ALG.2.b
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | multiplication | algebra | addition | equality | transitive
BLM: Comprehension
NOT: 978-0-618-65613-4
6. ANS:
Symmetric Property of Equality
PTS:
TOP:
KEY:
NOT:
7. ANS:
1
DIF: Level A
REF: BS022081
Lesson 2.5 Reason Using Properties from Algebra
property | segment | TAAS2 | symmetric | TEKSb3E
978-0-618-65613-4
NAT: NCTM 9-12.ALG.2.b
BLM: Knowledge
Transitive Property of Equality
PTS: 1
DIF: Level A
REF: BS022082
STA: AZ.AZGLA.MTH.03.9-12.4.1.PO 6
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | angle | TAAS2 | TEKSb3E | transitive
NOT: 978-0-618-65613-4
8. ANS:
Transitive Property of Equality
NAT: NCTM 9-12.ALG.2.b
PTS: 1
DIF: Level A
REF: BS022083
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | segment | TAAS2 | TEKSb3E | transitive
NOT: 978-0-618-65613-4
9. ANS:
Substitution Property of Equality
NAT: NCTM 9-12.ALG.2.b
PTS: 1
DIF: Level A
REF: BS022084
TOP: Lesson 2.5 Reason Using Properties from Algebra
KEY: property | angle | substitution | TAAS2 | TEKSb3E
NOT: 978-0-618-65613-4
10. ANS:
a) x=3
b) x= 6/11
c) x=18
NAT: NCTM 9-12.ALG.2.b
PTS: 1
BLM: Knowledge
BLM: Knowledge
BLM: Knowledge