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

Do you know what iff (if and only if) means?

Answer 2

huh im kinda out of it today and i been failing

Answer 3

Suppose we have two statements p and q. Let p be "two lines are perpendicular" and let q be "two lines intersect at right angles."

Then you can say that p implies q, q implies p and p iff q.

Obviously, both p implying q and q implying p are equivalent. Therefore, your answer should be p iff q (since iff goes both ways).

Answer 4

Yes. If they intersect at right angles, they are perpendicular. And if they are perpendicular, they intersect at right angles.

across I think it's more a question of what perpendicular means.

Answer 5

ok thank you that helped me out a lot.