Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
hich statement is logically equivalent to q→ p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.



Answer :

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.

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