1-6 Prove the following: if, in AABC, median AM is such that mZBAC is divided in the ratio 1:2, and AM is extended through M to D so that LDBA is a right angle, then AC = AD (Fig. 1-6). Challenge Find two ways of proving the theorem when mA = 90. 1-6 M 1-8 A

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
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1-6 Prove the following: if, in AABC, median AM is such that
mZBAC is divided in the ratio 1:2, and AM is extended through
M to D so that LDBA is a right angle, then AC = AD
(Fig. 1-6).
Challenge Find two ways of proving the theorem when mA = 90.
1-8
4A
1-6
M
8
Transcribed Image Text:1-6 Prove the following: if, in AABC, median AM is such that mZBAC is divided in the ratio 1:2, and AM is extended through M to D so that LDBA is a right angle, then AC = AD (Fig. 1-6). Challenge Find two ways of proving the theorem when mA = 90. 1-8 4A 1-6 M 8
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