Question

Mrs. Smith gives the students in her geometry class the following conditional statement:

"If A, B, and C are collinear, then they lie on the same line."

Bob says that the inverse of the is statement is not true. What is the inverse of this statement? Is Bob correct?

Justify your answer.

Answer 1

The inverse of the statement is, " If A, B, C are not collinear, then they do not lie on the same line." Bob is not correct. The inverse statement is true. For any points to be collinear, they have to be one the same line. If these points are not collinear, it means they do not lie on the same line.

Explanation: