Perpendicular Radius Bisects Chord
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114 videosGeometry- 8:19
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ok so triangle amo is congruent to triangle cmo by rsh postulate and by CPCTC am is congruent to mc so by what thereom or postulate do you know od bisects ac?
TheJuicyqueen96 4 days ago
I don't think it is. The definition of perpendicular is that they intersect at right angles. The segments don't intersect if they don't cross each other.
AlRoderick 5 months ago
@CadenFeldman So, if I'm talking about 2 non-touching line segments, let's say, the top of a window, and the side of a different window. Is it mathematically legitimate to say they are perpendicular? Or is it only legitimate to say that those line segments "produced" are perpendicular?
armpitpuncher 5 months ago
@armpitpuncher You cannot really assume certain relationships (like perpendicularity) between lines AB and CD say, that don't touch, instead one would write and then go about proving that AB "produced" (the mathematical word for extended) is perpendicular, or whatever you are proving, to CD.
CadenFeldman 5 months ago
My comment assumes that line segments can be called perpendicular even if they aren't touching. Is that assumption wrong?
armpitpuncher 5 months ago
Can a line segment which doesn't cross another be said to bisect it? If not, what about the case where AC is on the bottom half of the circle? Or are we talking about the line formed when the radius OD is extended infinitely?
armpitpuncher 5 months ago