SOLUTION: Suppose AB=AD in trapezoid ABCD with base segment BC. Make a sketch and prove that segment BD bisects angle ABC

Question 1031049: Suppose AB=AD in trapezoid ABCD with base segment BC. Make a sketch and prove that segment BD bisects angle ABC
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

AD || BC OPP SIDES OF TRAPEZIUM
ANGLE ADB = ANGLE DBC (ALTERNATE ANGLES)
In triangle ABD AB = AD ( given)
angle ABD = angle ADB (isosceles triangle theorem
Therefore ABD = DBC
Therefore BD bisects angle ABC

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