Let ABC be a triangle with an interior point Q. Prove that the following two statements are equivalent: (a) ZQCB=LQAC and ZQBC = ZQAB. (b) BQ.AC CQ.AB and ZBQC + ZBAC = 180º. =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 14E: Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c =...
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Let ABC be a triangle with an interior point Q. Prove that the following two statements are
equivalent:
(a) ZQCB=LQAC and ZQBC
=
ZQAB.
(b) BQ.AC = CQ.AB and ZBQC + ZBAC = 180º.
Transcribed Image Text:1 Let ABC be a triangle with an interior point Q. Prove that the following two statements are equivalent: (a) ZQCB=LQAC and ZQBC = ZQAB. (b) BQ.AC = CQ.AB and ZBQC + ZBAC = 180º.
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