Question

1. if it is known that if a triangle has three equal sides, then it is an equilateral triangle. if a triangle is not equilateral, what conclusion can be made based on the law of contrapositive?

the triangle is not a triangle.
the triangle has three equal angles.
the triangle does not have three equal sides.
the triangle has one unequal side.

Explanation:

The law of contrapositive states that if a conditional statement is “if p then q”, its contrapositive “if not q then not p” has the same truth - value. Here, p is “a triangle has three equal sides” and q is “it is an equilateral triangle”. The contrapositive of “if a triangle has three equal sides, then it is an equilateral triangle” is “if a triangle is not equilateral, then it does not have three equal sides”.

Answer:

The triangle does not have three equal sides.