Question

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

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?

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

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

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

Student 2: If a line touches a circle only at one

Answer 1

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

Answer 2

third one. again it is the contrapositive
of P then Q
if not Q then not P

Answer 3

Oops maybe messed up the terms, but still the third choice

Answer 4

thank u both:)