In a geometry class, the students were asked to prove the theorem below by contradiction:

Theorem: A triangle has at the most one obtuse angle.

Heather begins the proof with an assumption. Which statement will she most likely use as an assumption?

Question

In a geometry class, the students were asked to prove the theorem below by contradiction:

Theorem: A triangle has at the most one obtuse angle. 

Heather begins the proof with an assumption. Which statement will she most likely use as an assumption?

anonymous · Answer

Let two angles of a triangle be obtuse.
 Let each angle of a triangle be acute.
 Let only one angle of a triangle be obtuse.
 Let two angles of a triangle be right.

anonymous · Answer

@amistre64

anonymous · Answer

@SolomonZelman @iambatman @iGreen @Jhannybean

solomonzelman · Answer

D is not a possible statement. it is false.

amistre64 · Answer

the opposite of at least one is ... how many?

amistre64 · Answer

ugh, at the most, not at least lol

amistre64 · Answer

so what is the opposite of 'at most one' ?

anonymous · Answer

An infinite amount? Not really sure

amistre64 · Answer

im thinking more than 1

anonymous · Answer

same thing xD

anonymous · Answer

So the answer would then be A?

amistre64 · Answer

if we assume a triangle can have more than 1 obtuse angle, and show that such a thing is an absurdity ...

amistre64 · Answer

A seems the most plausible to me yes.

anonymous · Answer

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