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 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 2: If a line segment is not a radius, then it joins 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

Which do you think is right? If you aren't sure, are there any responses that you know are wrong?

Answer 3

I think it's the first one

Answer 4

You are right.

Answer 5

:D thanks

Answer 6

You're welcome.