Question

If a line touches a circle only at one point, then it is a tangent.

Below are the responses of four students. Which student's response is correct? (1 point)

Question 17 options:

1) Student 4: If a line is not a tangent, then it touches a circle only at one point.

2) Student 1: If a line does not touch a circle only at one point, then it is a tangent.

3) Student 3: If a line is not a tangent, then it does not touch a circle only at one point.

4) Student 2: If a line touches a circle only at one point, then it is not a tangent.

Answer 1

you are looking for the "contra-positive"
the contrapositive of "if P, then Q" is "if not Q, then not P"

Answer 2

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