What is the reason for #9? Given: ABCA where E is the midpoint of AC and D is the midpoint of BA Prove: DE|| BC and that BC = DE Statement Reason 1. Dis the midpoint of AB E is the midpoint of AC 2. MAD= mDB, MAE= MEB 1. 2. 3. mLA = mLA 3. 4. AD + DB = AB AE + EC = AC 5. AD + AD = AB AE + AE = AC 4. %3D 5. 6. 2(AD) = AB 2(AE)= AC | 6. Simplify AB AE = 2 7. Division AC 7. AD = 1 AE 2' AC 8. Division AD AB 2 9. ΔDAEΔΒAC 9. 10. = DE 10. вс 11. 11. DE =BC 12. MLADE = MLABC 12. %3D MLAED = MLACB 13. DE||BC 13.
What is the reason for #9? Given: ABCA where E is the midpoint of AC and D is the midpoint of BA Prove: DE|| BC and that BC = DE Statement Reason 1. Dis the midpoint of AB E is the midpoint of AC 2. MAD= mDB, MAE= MEB 1. 2. 3. mLA = mLA 3. 4. AD + DB = AB AE + EC = AC 5. AD + AD = AB AE + AE = AC 4. %3D 5. 6. 2(AD) = AB 2(AE)= AC | 6. Simplify AB AE = 2 7. Division AC 7. AD = 1 AE 2' AC 8. Division AD AB 2 9. ΔDAEΔΒAC 9. 10. = DE 10. вс 11. 11. DE =BC 12. MLADE = MLABC 12. %3D MLAED = MLACB 13. DE||BC 13.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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