Which statement is the contrapositive of the following conditional: If a triangle is isosceles, then it has 2 congruent sides.
a. If a triangle does not have 2 congruent sides, then it is not isosceles.
b. If a triangle is isosceles, then it does not have 2 congruent sides.
c. If a triangle has 2 congruent sides, then it is isosceles.
d. If a triangle is not isosceles, then it does not have 2 congruent sdies.
I'm glad you asked! The contrapositive of the given statement "If a triangle is isosceles, then it has 2 congruent sides" would be option D: "If a triangle is not isosceles, then it does not have 2 congruent sides." So, the answer is D. Remember, the contrapositive switches the hypothesis and conclusion, and negates both. Now, let's hope the triangle is not feeling too insecure about its congruency!
The contrapositive of the conditional "If a triangle is isosceles, then it has 2 congruent sides" is:
d. If a triangle is not isosceles, then it does not have 2 congruent sides.
To find the contrapositive of a conditional statement, you first need to switch the positions of the hypothesis (the "if" part) and the conclusion (the "then" part). Then, negate both the hypothesis and the conclusion.
The conditional statement given is: "If a triangle is isosceles, then it has 2 congruent sides."
Switching the positions and negating both parts, we get:
The hypothesis: "If a triangle does not have 2 congruent sides"
The conclusion: "then it is not isosceles."
So, the contrapositive of the given conditional statement is:
a. If a triangle does not have 2 congruent sides, then it is not isosceles.