8.G.B.6 Tutor Intake -- Pythagorean Theorem Proof and Converse

A right triangle with two known side lengths

An equilateral triangle with two known side lengths

Any triangle with two known side lengths

A triangle with two known angle measures

The theorem goes 'right triangle implies a^2+b^2=c^2'; the converse goes 'a^2+b^2=c^2 implies right triangle' -- opposite directions of reasoning

There is no difference -- they are the same statement

The converse only works for the 3-4-5 triangle

The theorem is used in geometry; the converse is used in algebra

No -- 7^2 + 10^2 = 149, but 12^2 = 144, and 149 does not equal 144

Yes -- 7^2 + 10^2 = 149, and 12^2 = 144, which is close enough

Yes, because 7 + 10 = 17, which is more than 12

Cannot be determined without knowing the angles first