Question

Megan wrote the statement shown below.

If a quadrilateral is a rectangle, then its diagonals are not perpendicular.

Which of these is logically equivalent to it?

If a quadrilateral is not a rectangle, then its diagonals are not perpendicular.

If a quadrilateral is not a rectangle, then its diagonals are perpendicular.

If the diagonals of a quadrilateral are perpendicular, then it is not a rectangle.

If the diagonals of a quadrilateral are not perpendicular, then it is a rectangle.

Answer 1

Please help me!!!!

Answer 2

the premise is false to begin with

Answer 3

but its logical equivalent, nonetheless, is its contrapositive

Answer 4

if p, then q ::contraPs to :: if notq, then notp

Answer 5

It just confuses me so much. So is the contrapositive always right?

Answer 6

the contraP is always logically equivalent, yes

Answer 7

this thing says im replying, even when im not :/

Answer 8

Then it's the third option, yes?

Answer 9

Thanks!!!!!