if two polygons are congruent, then they are similar. What is the contrapositve of this statement?
If they are not congruent, they are not similar.
To find the contrapositive of a statement, we need to negate both the hypothesis and the conclusion of the original statement, and then switch their positions.
The original statement is: "If two polygons are congruent, then they are similar."
1. Hypothesis: "Two polygons are congruent."
2. Conclusion: "They are similar."
To find the negation of each part:
1. The negation of "Two polygons are congruent" is "Two polygons are not congruent."
2. The negation of "They are similar" is "They are not similar."
Switching their positions, we get the contrapositive statement:
"If two polygons are not congruent, then they are not similar."
So, the contrapositive of the statement "If two polygons are congruent, then they are similar" is "If two polygons are not congruent, then they are not similar."