Basic fact about triangles

Geometry Level 3

True or False: For any three points A A , B B , and C C in the same plane, A B = B C AB=BC if and only if m ∠ B A C = m ∠ B C A m \angle BAC=m \angle BCA

False Cannot be determined True

Alex Li by Alex Li , 22, USA

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1 solution

Alex Li
Jun 2, 2015

Consider what happens when A A , B B , and C C are collinear.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Arghh... You and your trick questions. :P

Yes, in that case, m ∠ B A C = m ∠ B C A m\angle BAC = m\angle BCA does not necessarily imply that A B = A C . AB = AC.

Brian Charlesworth - 6 years ago

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Oh man... You tricked me too... :/

Geoff Pilling - 2 years, 6 months ago

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