Question

Which statement is logically equivalent to the following conditional statement?

If it has five sides, then it is not an octagon.

If it is not an octagon, then it has five sides.

If it does not have five sides, then it is not an octagon.

If it does not have five sides, then it is an octagon.

If it is an octagon, then it does not have five sides.

Answer 1

for this question i know the answers are between C&D but i don't know which one is correct...i believe the correct answer is D...no?

Answer 2

@mathmate

Answer 3

C is not logically correct

Answer 4

D is correct.
Remember you need to negate and reverse the conditions to get the contrapositive, which is logically equivalent to the original statement.

Answer 5

true

Answer 6

What is the converse of the following statement?

"If cows make milk, then chickens make eggs."

If chickens make eggs, then cows make milk.

If cows make milk, then chickens do not make eggs.

If cows do not make milk, then chickens do not make eggs.

If chickens do not make eggs, then cows do not make milk.

Answer 7

this is my last question.....the answer is A correct?

Answer 8

Correct!
A converse is just reversing the order or the conditions withOUT negating anything.
Note: It is NOT logically equivalent to the original statement.

Answer 9

so pretty much a converse is switching the order of the problem

Answer 10

Exactly. More like switching the condition with the consequence.

Answer 11

you just have to remember this

Statement If p, then q.
Converse If q, then p.
Inverse If not p, then not q.
Contrapositive If not q, then not p.

Answer 12

Thank You soooo much @mathmate you were truly a big help last night and this morning! i truly appreciate your help! you helped me get an A! -Thanks

Answer 13

If you get an A, I would be very happy! \(\equiv\) If I am not happy, you did not get an A.

You're welcome! :)

Answer 14

haha i was actually wondering what time you get on open study so i could use your help a little more...like a tutor

Answer 15

I do not have a schedule, so you just have to summon me any time I'm on.
Happy to be of help whenever I'm on!

Answer 16

thank you so much!

Answer 17

You're welcome any time! :)

Answer 18

well i know im going to need your help later on today aound 2 oclock because thats when i get out of church....if thats fine with you?

Answer 19

well that would be fine by him for sure and me too

Answer 20

No problem, though I will be on and off.
Would your 2 o'clock be 8pm Universal time?
Hope @FriedRice would be around too!

Answer 21

heyyy @mathmate

Answer 22

@Elizabeth03
I'm back. Do you have a new question?

Answer 23

yes

Answer 24

Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing?

A circle is drawn with two arc markings above and below the diameter.

An equilateral triangle

A square

A regular pentagon

A regular hexagon

Answer 25

shes in the process of making a square? correct?

Answer 26

Looks like what she's doing.
The chords are probably same length as radius.

Answer 27

A square requires the chord length to be sqrt(2)*radius, which is not easy to do with a compass/straight edge (it can be done though). Any of those polygons could be done, but not in one single step.

Answer 28

On second thought, a square is possible.

Answer 29

Got to go. Talk later. You could see if FriedRice is available.