Question

tricky question!

John wrote a statement as shown below.

If the diagonals of a quadrilateral are not congruent, then it is not a square.

Which of these is logically equivalent to it?

If the diagonals of a quadrilateral are congruent, then it is a square.

If the diagonals of a quadrilateral are congruent, then it is not a square.

If the quadrilateral is not a square, then its diagonals are not congruent.

If the quadrilateral is a square, then its diagonals are congruent.

Answer 1

i know that the contrapositive is logically equivalent to it but idk what to pick

Answer 2

last one is contrapositive

Answer 3

if not P then not Q
contrapositive is
if Q then P

Answer 4

thats what i picked but the definition says both parts negated does that mean opposite or negative though

Answer 5

Haha this is more like two negatives make a positive so the contrapositive would be positive of a negative statement :)

Answer 6

negation of "it is not a square" is "it is a square"
negation of " the diagonals of a quadrilateral are not congruent" is
"diagonals of a quadrilateral are congruent"

Answer 7

Contrapositive = 1st converse, then inverse.

Answer 8

okaay coool i was just confused but thats what i picked originally lol thanks

Answer 9

Dang :/

Answer 10

what?