Homework Help is Here – Start Your Trial Now!
Math
Geometry
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 AB 2 7. AD =' AE = 7. Division 1 AE AD 8. AB 2' AC 2 8. Division 9. ΔDAE~ ΔΒΑC 9. 10.는 DE 10. вс 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 AB 2 7. AD =' AE = 7. Division 1 AE AD 8. AB 2' AC 2 8. Division 9. ΔDAE~ ΔΒΑC 9. 10.는 DE 10. вс 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
See similar textbooks
icon
Related questions
Question
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 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. 2(AD) = AB 2(AE) = AC 6. Simplify 7. AD = AE = 2 7. Division AD 1 AE 8. 8. Division 1 AB 2' AC 2 9. ΔDAE~ΔΒAC 9. DE 10. вс 10. 11. 11. DE =BC 12. MLADE = MLABC 12. MLAED = M²LACB 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 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. 2(AD) = AB 2(AE) = AC 6. Simplify 7. AD = AE = 2 7. Division AD 1 AE 8. 8. Division 1 AB 2' AC 2 9. ΔDAE~ΔΒAC 9. DE 10. вс 10. 11. 11. DE =BC 12. MLADE = MLABC 12. MLAED = M²LACB 13. DE||BC 13.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS