Question

Which statement is the converse of the following statement? If planes are parallel, then they do not intersect.

Answer 1

The converse of a statement is one in which its hypothesis and conclusion are reversed. A statement of the form p⇒q (p implies q) becomes the statement q⇒p (q implies p).

Here, if we let p be the statement "planes are parallel" and let q be the statement "they do not intersect," then q⇒p would be "If planes do not intersect, then they are parallel."

Answer 2

If two planes are not parallel, they will intersect (in a line).