Given: AB CB, BM.LẠC, and M is the midpoint of AC Prove:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.CT: Test
Problem 9CT: In O with diameter AC, OC=5 and AB=6. If M is the midpoint of BC, find AM.
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Given: AB CB, BMLAC, and M is the midpoint of AC
Prove: <AE<C
A
M
Statements
Reasons
1. AB CB
1. Given
2. BMLAC
2. Given
3. Mis the midpoint of AC
3. Given
4. Z AMB = 2 CMB
4. Right Angle Congruence Theorem
5. AM = CM
5.
6. AAMB =ACMB
6.
7. <A=<C
7.
Transcribed Image Text:Given: AB CB, BMLAC, and M is the midpoint of AC Prove: <AE<C A M Statements Reasons 1. AB CB 1. Given 2. BMLAC 2. Given 3. Mis the midpoint of AC 3. Given 4. Z AMB = 2 CMB 4. Right Angle Congruence Theorem 5. AM = CM 5. 6. AAMB =ACMB 6. 7. <A=<C 7.
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