Question

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

Two lines that intersect at right angles are perpendicular.
(1 point)
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.
4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
(1 point)
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.
@Mathematics

Answer 1

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

Two lines that intersect at right angles are perpendicular.

A. The statement is not reversible.

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

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

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

Your Answer would be (D)

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


REF: 2-3 Biconditionals and Definitions

Answer 2

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

Explanation:

In a biconditional statement, both parts have to be true. In this case, if the two lines intersect at a right angle then they are perpendicular, and if they are perpendicular then they intersect at a right angle