## nppbleh789 4 years ago 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.

1. satellite73

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

2. satellite73

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

3. nppbleh789

Thankyou

4. afridi

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

5. satellite73

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

6. satellite73

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

7. nppbleh789

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

8. Alchemista

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

9. afridi

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

10. nppbleh789

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

11. nppbleh789

what is the difference between contrapositive and converse?

12. afridi

it is the opisite or inverse of what its saying

13. Alchemista

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

14. satellite73

yes "inversion" usually means contrapositive of converse.

15. nppbleh789

16. satellite73

lets go slow

17. satellite73

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

18. nppbleh789

ok

19. satellite73

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

20. satellite73

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

21. afridi

22. nppbleh789

oh ok. thanks for helping

23. afridi

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

24. satellite73

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

25. satellite73

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

26. Alchemista

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

27. nppbleh789

What is contrapositive? and What is converse?

28. satellite73

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.

29. satellite73

@nppbleh did you not like my example?

30. nppbleh789

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

31. satellite73

good!

32. nppbleh789

yep thanks.

33. nppbleh789

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