what is the contrapositive of this statement "If two polygons are congruent, then they are also similar"

for a contrapositive the antecedent and the consequent are swapped and negated.

so ....
If two polygons are not similar, then they are not congruent.

To find the contrapositive of the statement "If two polygons are congruent, then they are also similar," we first need to understand the structure of the statement.

The statement can be written as "If A, then B," where A represents the condition that two polygons are congruent and B represents the result that they are also similar.

To form the contrapositive, we need to negate and switch the positions of A and B. So the contrapositive of the statement is "If two polygons are not similar, then they are not congruent."

To find the contrapositive of a statement, we switch the hypothesis and conclusion and then negate both of them.

The given statement is: "If two polygons are congruent, then they are also similar."

In this case, the hypothesis is "two polygons are congruent" and the conclusion is "they are also similar."

To form the contrapositive, we switch the hypothesis and conclusion:
"If two polygons are similar, then they are also congruent."

Next, we negate both the hypothesis and the conclusion. Negating "two polygons are similar" gives us "two polygons are not similar" and negating "they are also congruent" gives us "they are not congruent."

So, the contrapositive of the statement "If two polygons are congruent, then they are also similar" is: "If two polygons are not similar, then they are also not congruent."