Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.

Two lines that intersect at right angles are perpendicular.

The statement is not reversible.

Yes; if two lines intersect at right angles, then they are perpendicular.

Yes; if two lines are perpendicular, then they intersect at right angles.

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Question

Mathematics

Peyton Barber

25 December, 17:09

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.

Two lines that intersect at right angles are perpendicular.

The statement is not reversible.

Yes; if two lines intersect at right angles, then they are perpendicular.

Yes; if two lines are perpendicular, then they intersect at right angles.

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

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Answers (1)

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Ramon Bryan · Answer 1

A biconditional statement is a statement in which it is inherently true but when the clauses are exchanged, the statement would still be regarded as true. In this case, the statement is biconditional. The answer that would make sense here would be C. Yes; if two lines are perpendicular, then they intersect at right angles.