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Mary said the reason for #2 was Given which is incorrect. Why can't it be given and what is the correct answer? 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 4. AE + EC = AC 5. AD + AD = AB 5. AE + AE = AC 6. Simplify 6. 2(AD) = AB 2(AE) = AC 7. Division 7. AD = , AE = AD 1 AE 8. AB 8. Division 2 AC 9. ΔDAE-ΔΒAC 9. DE 10. 10. 11. DE = BC 11. 12. MLADE = MLABC 12. MLAED = MLACB 13. DE||BC 13.

Mary said the reason for #2 was Given which is incorrect. Why can't it be given and what is the correct answer? 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 4. AE + EC = AC 5. AD + AD = AB 5. AE + AE = AC 6. Simplify 6. 2(AD) = AB 2(AE) = AC 7. Division 7. AD = , AE = AD 1 AE 8. AB 8. Division 2 AC 9. ΔDAE-ΔΒAC 9. DE 10. 10. 11. DE = BC 11. 12. MLADE = MLABC 12. MLAED = MLACB 13. DE||BC 13.

Elementary Geometry For College Students, 7e
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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Mary said the reason for #2 was Given which is incorrect. Why can't it be given and what is the correct answer? Given: ABCA where E is the midpoint of AC and D is the midpoint of BA Prove: DE|| BC and that BC = De B Statement Reason 1. Dis the midpoint of AB E is the midpoint of AC 1. 2. mAD= mDB, MAE= mEB 2. 3. mLA = mZĀ 3. 4. AD + DB = AB AE + EC = AC 5. AD + AD = AB 4. 5. AE + AE = AC 6. 2(AD) = AB 2(AE) = AC 6. Simplify 77. AD = AE = 7. Division 8. Division AD 8. АВ 1 АЕ 2' AC 9. ΔDAE~ΔΒAC 9. DE 10. вс 10. 11. DE = BC 11. 12. MLADE = MLABC 12. MLAED = MZACB 13. DE||BC 13.
Transcribed Image Text:Mary said the reason for #2 was Given which is incorrect. Why can't it be given and what is the correct answer? Given: ABCA where E is the midpoint of AC and D is the midpoint of BA Prove: DE|| BC and that BC = De B Statement Reason 1. Dis the midpoint of AB E is the midpoint of AC 1. 2. mAD= mDB, MAE= mEB 2. 3. mLA = mZĀ 3. 4. AD + DB = AB AE + EC = AC 5. AD + AD = AB 4. 5. AE + AE = AC 6. 2(AD) = AB 2(AE) = AC 6. Simplify 77. AD = AE = 7. Division 8. Division AD 8. АВ 1 АЕ 2' AC 9. ΔDAE~ΔΒAC 9. DE 10. вс 10. 11. DE = BC 11. 12. MLADE = MLABC 12. MLAED = MZACB 13. DE||BC 13.
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