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moongazer
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What is the meaning of "converse" and "inverse" in Math?
 2 years ago
 2 years ago
moongazer Group Title
What is the meaning of "converse" and "inverse" in Math?
 2 years ago
 2 years ago

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moongazer Group TitleBest ResponseYou've already chosen the best response.0
It has something to do with logic
 2 years ago

AcidRa1n Group TitleBest ResponseYou've already chosen the best response.2
converse: q > p the hypothesis and the conclusion switch places  the conclusion becomes the hypothesis, the hypothesis becomes the conclusion.. inverse: not p > not q negate both the hypothesis and the conclusion
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
converse of a statement that says "if P then Q" is the statement "if Q, then P"
 2 years ago

AcidRa1n Group TitleBest ResponseYou've already chosen the best response.2
contrapositive (a combination of the converse and the inverse): not q > not p negate and switch the hypothesis and the conclusion..
 2 years ago

AcidRa1n Group TitleBest ResponseYou've already chosen the best response.2
converse: If I am in China, then I am in Bejing. (The conclusion and hypothesis have switched places. Notice that the converse of a true conditional statement is not guaranteed to be true.)
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
for example, converse of "if \(x=3\) then \(x^2=9\)" is "if \(x^2=9\) then \(x=3\) first statement is true, second is false, which means the converse of a statement is not logically equivalent to the statement
 2 years ago

AcidRa1n Group TitleBest ResponseYou've already chosen the best response.2
inverse: If I am not in Bejing, then I am not in China. (Like the converse, the inverse of a true condition may not always true.).
 2 years ago

AcidRa1n Group TitleBest ResponseYou've already chosen the best response.2
contrapositive: If I am not in China, then I am not in Bejing. (Note: If the conditional statement is true, the contrapositive will always be true too.)
 2 years ago

jakezz Group TitleBest ResponseYou've already chosen the best response.0
converse is when you switch them. like girls who wear converse sneakers when the play basketball the ball makes a swoosh sound when it goes in. so think converse swoosh and swoosh sounds like switch.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
i always think converse and inverse in logic is backwards
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
inverse to me is an undoing; so q > p would make sense; but its not lol
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.0
So if the statement says "All pairs of vertical angles are congruent angles." the inverse will be: "All pairs of angles that are not vertical angles are not congruent angles." and the converse is: "All pairs that are congruent angles are vertical angles." and the contrapositive is: "All pairs that are not congruent angles are not vertical angles." Is this correct?
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
can you form that into an if then statement?
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
if "a pair of angles are vertical", then "they are congruent" looks to be a good mock up of it ...
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
so yeah, that looks good
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.0
How about this? So if the statement says "All pairs of vertical angles are congruent angles." the inverse will be: "If All pairs of angles are not vertical angles, then all pairs of angles are not congruent." and the converse is: "If all pairs of angles are congruent, then all pairs of angles are vertical." and the contrapositive is: "If all pairs of angles are not congruent, then all pairs of angles are not vertical."
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.0
yep, inverse negates, converse swaps, and contraP negates and swaps
 2 years ago

moongazer Group TitleBest ResponseYou've already chosen the best response.0
Thanks :)
 2 years ago
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