A. In AABC, D is the midpoint of AB and E is the midpoint of AC. Consider each gi information and answer the question that follow using the midline theorem. D B 1. Given that BD = x+6 and AD = 2x+2, what is AB? 2. Given that BC = 9x-13, and DE = 3x-2, what is the value of x? 3. Given that DE = 3x+5 and BC 10x-2, what is the value of x? 4. Given that BC = 4x+6 where x = 4, what is DE? 5. Given that EC = x2+6 and AE = 6x-2, what is the value of x?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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A. In AABC, D is the midpoint of AB and E is the midpoint of AC. Consider each given
information and answer the question that follow using the midline theorem.
D
B
1. Given that BD = x+6 and AD = 2x+2, what is AB?
2. Given that BC 9x-13, and DE = 3x-2, what is the value of x?
3. Given that DE = 3x+5 and BC = 10x-2, what is the value of x?
4. Given that BC 4x+6 where x = 4, what is DE?
5. Given that EC = x2+6 and AE = 6x-2, what is the value of x?
Transcribed Image Text:A. In AABC, D is the midpoint of AB and E is the midpoint of AC. Consider each given information and answer the question that follow using the midline theorem. D B 1. Given that BD = x+6 and AD = 2x+2, what is AB? 2. Given that BC 9x-13, and DE = 3x-2, what is the value of x? 3. Given that DE = 3x+5 and BC = 10x-2, what is the value of x? 4. Given that BC 4x+6 where x = 4, what is DE? 5. Given that EC = x2+6 and AE = 6x-2, what is the value of x?
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