Write the converse of each of the following statements
If an integer is even, then its square is divisible by 4.

Answer

To find the converse of the given statement, we can follow these steps:

1. **Identify the Original Statement**: The original statement is "If an integer is even, then its square is divisible by 4." We can denote this as "If p, then q", where:
- p: "An integer is even"
- q: "Its square is divisible by 4"

2. **Write the Converse**: The converse of a statement "If p, then q" is "If q, then p". Therefore, we need to switch the hypothesis and conclusion.

3. **Formulate the Converse Statement**: Based on the definitions of p and q, the converse statement becomes:
- "If the square of an integer is divisible by 4, then the integer is even."

4. **Final Statement**: Thus, the converse of the original statement is:
- "If the square of an integer is divisible by 4, then the integer is even."