Which statement is contrapositive of the conditional: If a triangle is isosceles, then it has 2 congruent sides.
1. If a triangle does not have 2 congruent sides, then it is not isosceles.
2. If a triangle is isosceles, then it does not have 2 congruent sides.
3. If a triangle has 2 congruent sies, then it is isosceles.
4. If a triangle is not isosceles, then it does not have 2 congruent sides.
positive: p -> q
contrapositive: ~q -> ~p
so, (1)
Help me this is not funny
The contrapositive of the conditional "If a triangle is isosceles, then it has 2 congruent sides" can be determined by swapping the hypothesis and conclusion, and negating both.
So, the contrapositive statement is:
"If a triangle does not have 2 congruent sides, then it is not isosceles."
Therefore, the correct answer is option 1.
The contrapositive of a conditional statement switches the hypothesis and conclusion and negates both.
The conditional statement is: "If a triangle is isosceles, then it has 2 congruent sides."
To determine the contrapositive, we switch the hypothesis and conclusion:
Hypothesis: A triangle is isosceles
Conclusion: It has 2 congruent sides
So, the contrapositive statement is: "If a triangle does not have 2 congruent sides, then it is not isosceles."
Therefore, the correct answer is option 1: "If a triangle does not have 2 congruent sides, then it is not isosceles."