Properties of 26. Given: Q is the midpoint of PR R is the midpoint of QS Prove: PQ==QS Statements 1. Q is the midpoint of PR 2. R is the midpoint of QS 3. PQ = QR; QR = RS 4. PQ = RS 5. PQ+PQ = PQ + RS 6. 2PQ = PQ+ RS 7. 2PQ = QR + RS 8. QR+ RS = QS 9. 2PQ = QS 10. PQ = OS 27. Given: AB CD; CE = AE Prove: ED= EB Statements 1. AB 2. AB = CD; CE = AE 3. AE+ EB = AB; CE + ED = CD 4. CE+ EB = CD 5. CE+ED = CE + EB 6. ED = EB CD; CE = AE 7. ED EB 1. given 2. 6. 7. 3. 4. transitive property 5. segnunt addition 8. 9. transitive 10. 1. ・given 2. 3. given 4. P 5. 6. [7. given Reasons R X B Reasons S

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 120E
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Please disregard my current answers as I'm not sure if they're correct. On the top is the word bank.

 

KNOW THE FOLLOWING:
Segment Addition Postulate, Definition of Midpoint, Definition of Congruence,
Properties of Congruence (Reflexive, Symmetric, and Transitive)
26. Given: Q is the midpoint of PR
R is the midpoint of QS
Prove: PQ = 1/QS
Statements
1. Q is the midpoint of PR
2. R is the midpoint of QS
3. PQ = QR; QR = RS
4. PQ = RS
5. PQ+PQ = PQ+ RS
6. 2PQ = PQ+ RS
7. 2PQ = QR + RS
8. QR + RS = QS
9. 2PQ = QS
10. PQ = 1=1/QS
2
27. Given: AB CD; CE = AE
Prove: EDEB
Statements
1. AB = CD; CE = AE
2. AB = CD; CE = AE
3. AE + EB = AB; CE + ED = CD
4. CE + EB = CD
5. CE + ED = CE + EB
6. ED = EB
7. ED = EB
1.
2.
6.
1.
2.
3.
4. transitive property
5.
segment addition pour
DOS!
7.
8.
9. transitive
10.
3.
4.
5.
6.
given
given
7.
P
given
given
Q
Reasons
R
A
D
X
E
B
с
Reasons
S
Transcribed Image Text:KNOW THE FOLLOWING: Segment Addition Postulate, Definition of Midpoint, Definition of Congruence, Properties of Congruence (Reflexive, Symmetric, and Transitive) 26. Given: Q is the midpoint of PR R is the midpoint of QS Prove: PQ = 1/QS Statements 1. Q is the midpoint of PR 2. R is the midpoint of QS 3. PQ = QR; QR = RS 4. PQ = RS 5. PQ+PQ = PQ+ RS 6. 2PQ = PQ+ RS 7. 2PQ = QR + RS 8. QR + RS = QS 9. 2PQ = QS 10. PQ = 1=1/QS 2 27. Given: AB CD; CE = AE Prove: EDEB Statements 1. AB = CD; CE = AE 2. AB = CD; CE = AE 3. AE + EB = AB; CE + ED = CD 4. CE + EB = CD 5. CE + ED = CE + EB 6. ED = EB 7. ED = EB 1. 2. 6. 1. 2. 3. 4. transitive property 5. segment addition pour DOS! 7. 8. 9. transitive 10. 3. 4. 5. 6. given given 7. P given given Q Reasons R A D X E B с Reasons S
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