The contrapositive of the statement ''If two triangles are identical, then they are similar'' is

Options

A. If two triangles are not similar, then they are not identical
B. If two triangles are not identical, then they are not similar
C. If two triangles are not identical, then they are similar
D. If two triangles are not similar, then they are identical

Answer

To find the contrapositive of the statement "If two triangles are identical, then they are similar," we need to follow these steps:

### Step 1: Identify the Hypothesis and Conclusion
The given statement can be broken down into two parts:
- Hypothesis (P): "Two triangles are identical."
- Conclusion (Q): "They are similar."

### Step 2: Write the Contrapositive
The contrapositive of a statement "If P, then Q" is "If not Q, then not P." This means we need to negate both the conclusion and the hypothesis.

- Negation of Q (not Q): "They are not similar."
- Negation of P (not P): "Two triangles are not identical."

Thus, the contrapositive statement becomes:
"If two triangles are not similar, then they are not identical."

### Final Answer
The contrapositive of the statement "If two triangles are identical, then they are similar" is:
**"If two triangles are not similar, then they are not identical."**

---