Ex. 1b Given: C is the midpoint of AE and BD. BD CD AE Prove: AC Statements 1. AEBD 2. AC=CE,&C=CP 3. AG BD 4. AC*CE=AE, BC+CD=BD 5. AC+CE=BC+CD 6. AC+AC=CD+CD A Reasons B 1. 2. 3. 4. 5. Subst. 6. Subst. 7 S. bet E Given Defn. midpoi Defn. Cong. Seg. Add. P

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 41EQ
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Prove.
Ex. 1b
Given: C is the midpoint of AE and BD.
AE = BD
CD
Prove: AC
Statements
1. AEBD
2. AC=CE, BC=CP
3. AG BD
4. AC+CE = AE, BC+CD=BD
5. AC+CE=BC+CD
6. AC+AC=CD+CD
A
D
Reasons
1994 WN-
1.
2.
3.
4.
ong. Se-
5. Subst.
m
Given
Defn. midpoi
Defn. Cong.
Seg. Add. P.
6. Subst.
7 S. b
E
Transcribed Image Text:Ex. 1b Given: C is the midpoint of AE and BD. AE = BD CD Prove: AC Statements 1. AEBD 2. AC=CE, BC=CP 3. AG BD 4. AC+CE = AE, BC+CD=BD 5. AC+CE=BC+CD 6. AC+AC=CD+CD A D Reasons 1994 WN- 1. 2. 3. 4. ong. Se- 5. Subst. m Given Defn. midpoi Defn. Cong. Seg. Add. P. 6. Subst. 7 S. b E
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