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

Question

Mathematics

Tyrone Oliver

10 March, 15:02

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

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Answers (2)

Know the Answer?

Aldo Ruiz · Answer 1

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

John Farley · 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."