Question

In a geometry class, the students were asked to write statements that are logically equivalent to the statement shown below:

If a line segment joins the center of a circle with a point on the circle, then it is a radius.

Below are the responses of four students. Which student's response is correct?

Answer 1

Student 2: If a line segment is not a radius, then it joins the center of a circle with a point on the circle.

Student 1: If a line segment is not a radius, then it does not join the center of a circle with a point on the circle.

Student 3: If a line segment does not join the center of a circle with a point on the circle, then the line segment is a radius.

Student 4: If a line segment joins the center of a circle with a point on the circle, then the line segment is not a radius.

Answer 2

Student 1: If a line segment is not a radius, then it does not join the center of a circle with a point on the circle.