1 - In which of the following sentences does "having 3 equal sides" appear as a sufficient but not necessary condition? a. Only if it has 3 equal sides can we state that it is an equilateral triangle. b. Every triangle is equilateral if and only if it has 3 equal sides. c. If a triangle has 3 equal sides, then it is equilateral or isosceles. d. If it has 3 equal sides, it is an equilateral triangle; but if not, you should look for other classifications because it is not.
1 - In which of the following sentences does "having 3 equal sides" appear as a sufficient but not necessary condition?
a.
Only if it has 3 equal sides can we state that it is an equilateral triangle.
b.
Every triangle is equilateral if and only if it has 3 equal sides.
c.
If a triangle has 3 equal sides, then it is equilateral or isosceles.
d.
If it has 3 equal sides, it is an equilateral triangle; but if not, you should look for other classifications because it is not.
2 - The method consists in supposing that the result A implying B, expressed by the statement, of the theorem is false.
a.
Demonstration by counterexample
b.
Direct demonstration
c.
Indirect demonstration
d.
Principle of Mathematical Induction
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