Question

If a figure consists of 4 sides that are all congruent, then it is a parallelogram. Figure ABCD is a parallelogram. Therefore, ABCD has 4 congruent sides.

Determine if the statement is valid.

Answer 1

A.No,p-> q , q:p is an invalid argument.
B.No,p -> q ,~p:~q is an invalid argument.
C.Yes,p->q is true, therefore q is true. It is a valid argument.

Answer 2

you got what?

Answer 3

i got C.

Answer 4

so you're saying that if p->q is true, then so is q->p ?

Answer 5

yes.

Answer 6

?

Answer 7

@jim_thompson5910 Am i wrong?

Answer 8

unfortunately you are, it's invalid to say that the converse is equivalent to the original conditional

Answer 9

:/ Darn it.

Answer 10

think about it: If I told you that "Figure ABCD is a parallelogram", does this mean that it has all 4 sides congruent? the answer is "no" because some parallelograms do not have all 4 sides congruent

Answer 11

So if its not C. then is No, p->q , is an invalid arguement.

Answer 12

so which one, A or B?

Answer 13

B?

Answer 14

They both look the same to me though.

Answer 15

they're not

Answer 16

A is q -> p

Answer 17

B is ~q -> ~p

Answer 18

So my answer was A?

Answer 19

one is the converse, the other is the contrapositive

Answer 20

yeah it's A

Answer 21

so its the converse.A.

Answer 22

oh wait, they've formatted it differently, one sec

Answer 23

A is still correct, I was just using different notation

Answer 24

ok. thanks Jimmy.(:

Answer 25

yw