Question

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

Answer 1

If a line segment joins two points on the circle, then it is a chord.

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

Student 2: If a line segment is not a chord, then it does not join two points on the circle.

Student 3: If a line segment does not join two points on the circle, then the line segment is a chord.

Student 1: If a line segment is not a chord, then it joins two points on the circle.

Student 4: If a line segment joins two points on the circle, then the line segment is not a chord.

Answer 2

Student 2: If a line segment is not a chord, then it does not join two points on the circle.