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 The Problem Diagram
The Problem Diagram  
If AB=BC and line BD bisects line AC which of the following cannot be concluded?

A.) angle w = angle x
B.) angle w = angle z
C.) angle x = angle y
E.) Line BD is perpendicular to line AC

(A), (B), and (C) can't be concluded.

Take w = 50, so since x is the other angle in a right triangle, x = 40
Since the angle at B is cut in two, and z is the same as x, and is also 40.
Since angle y is the same as w and is also one out of 3 angles that add to 180,
those both say that W is the same as Y.

Clearly, from this, A is false, B is false, and C is false.


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Scott A Wilson


I can answer whatever questions you ask except how to trisect an angle. The ones I can answer include constructing parallel lines, dividing a line into n sections, bisecting an angle, splitting an angle in half, and almost anything else that is done in geometry.


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