Question

sherie wants to prove the statement \if n is divisible by 6, then n is divisible by 3.\ she is planning to prove the contrapositive. which statement should she prove? if n is divisible by 3, then n is divisible by 6 if n is not divisible by 3, then n is not divisible by 6 if n is not divisible by 6, then it is not divisible by 3 if n is not divisible by 6, then n is divisible by 3 question 7 2 pts determine the contrapositive statement for the following conditional statement: if two triangles are congruent, then they are similar if two triangles are not congruent, then they are not similar if two triangles are similar, then they are congruent if two triangles are not congruent, then they are similar if two triangles are not similar, then they are not congruent

Explanation:

The contrapositive of a conditional statement "If p, then q" is "If not q, then not p". For the first statement where p is "n is divisible by 6" and q is "n is divisible by 3", the contrapositive is "If n is not divisible by 3, then n is not divisible by 6". For the second statement where p is "two triangles are congruent" and q is "they are similar", the contrapositive is "If two triangles are not similar, then they are not congruent".

Answer:

For the first question: If n is not divisible by 3, then n is not divisible by 6
For the second question: If two triangles are not similar, then they are not congruent