The statement that is logically equivalent to q→ p is:
"If a student passes geometry class, then the student achieved 90 percent on the geometry final."
Here's an explanation:
1. In the statement q→ p, q represents "student will receive a passing grade in geometry class" and p represents "student achieves 90 percent on the geometry final."
2. The conditional statement q→ p means that if q is true (student will receive a passing grade in geometry class), then p must also be true (student achieves 90 percent on the geometry final).
3. Therefore, the logically equivalent statement is "If a student passes geometry class, then the student achieved 90 percent on the geometry final."
This statement reflects the same logical relationship as q→ p, where the passing of the geometry class implies achieving 90 percent on the final exam.