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

Question

Mathematics

Jayvion Yates

23 October, 06:01

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

+2

Answers (2)

Know the Answer?

Omari Sims · Answer 1

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

Garrett Nichols · Answer 2

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."