Question

What is the inverse statement of ---- If a polygon is regular, then it is convex.

A. If a polygon is not regular, then it is not convex.
B. If a polygon is convex,then it is regular.
C. If a polygon is not regular, then it is convex.
D. If a polygon is not convex, then it is not regular.

Answer 1

"inverse" of
If P then Q is
if not P then not Q

Answer 2

"if a polygon is NOT regular, then it is NOT convex"

Answer 3

Thankyou

Answer 4

the answer is d D. If a polygon is not convex, then it is not regular.

Answer 5

really? i thought that if the statement is
If P then Q
converse is
If Q then P
contrapositive is
if not Q then not P
inverse is
if not P then not Q

Answer 6

so contrapositive is the same as the statement and the inverse is the same as the converse

Answer 7

Can someone explain to me how you got whatever answer you got?

Answer 8

I think they are looking for the contrapositive. If that is the case then it is D

Answer 9

it is d because it is the inverse for example like the opistite

Answer 10

contrapositive? hey im new to this..someone please explain.

Answer 11

what is the difference between contrapositive and converse?

Answer 12

it is the opisite or inverse of what its saying

Answer 13

Hrmm, one second. Maybe there is an inverse statement. Ok inverse is contrapositive of the converse.

Answer 14

yes "inversion" usually means contrapositive of converse.

Answer 15

im confused. someone please explain.

Answer 16

lets go slow

Answer 17

you have a statement that says
if P then Q. i use a simple example.
if the figure is a square, then it is a rectangle

Answer 18

ok

Answer 19

the "contrapositive" of the statement is an equivalent statement of the form
if not Q then not P
in this example
if the figure is not a rectangle, then it is not a square

Answer 20

a moments thought will convince you that a statement is equivalent to its contrapostive

Answer 21

the answer is d

Answer 22

oh ok. thanks for helping

Answer 23

you have a statement that says
if P then Q. i use a simple example.
if the figure is a square, then it is a rectanglea moments thought will convince you that a statement is equivalent to its contrapostivea moments thought will convince you that a statement is equivalent to its contrapostive

Answer 24

then there is the "converse" of the statement. that is
if Q then P
in my example
if the figure is a rectangle, then it is a square

Answer 25

clearly that is not the same as the original statement. in fact in this example the original statement is true and the converse is false

Answer 26

afridi the inverse is the contrapositive of the converse.
If P -> Q the the inverse is not P -> not Q
so its A

Answer 27

What is contrapositive? and What is converse?

Answer 28

and finally there is the "inverse" which as alchemista said is the contrapositive of the converse. it is
if not P then not Q.
in my example
if the figure is not a square, then it is not a rectangle. this is equivalent to the converse, and again in this case it is false.

Answer 29

@nppbleh did you not like my example?

Answer 30

no i got your example..ohhh ok nvm i got it.

Answer 31

good!

Answer 32

yep thanks.

Answer 33

i posted another question...can you guys look at it?