, {\displaystyle R\subseteq A\times B,} It's kind of like subtraction: 5 – 3 gives a different answer than 3 – 5. Original statement: If an number is even (Hypothesis) then it is divisible by two (Conclusion). In Mathematical Geometry, a Converse is defined as the inverse of a conditional statement. [citation needed]. Sample Problem Switching the hypothesis and conclusion of a conditional statement and negating both. Logical Statements 2. then the converse relation Definition of converse (Entry 3 of 4) : something reversed in order, relation, or action: such as a : a theorem formed by interchanging the hypothesis and conclusion of a given theorem c ⊆ Removing one's shoes is the inverse of putting one's shoes on (mathematics) The inverse of an element x'' with respect to a binary operation is an element that when combined with ''x yields the appropriate identity element. {\displaystyle c} } 4 (Logic, maths) a relation that holds between two relata only when a given relation holds between them in reverse order: thus father of is the converse of son of (C16: from Latin conversus turned around; see converse1) ♦ conversely adv = The aim of this article is to discuss some results about the converse mean value theorem stated by Tong and Braza [J. Tong and P. Braza, "A converse of the mean value theorem", Amer. Here are some examples: Logic is a learned mathematical skill, a method of ferreting out truth using specific steps and formal structures. 1 dated : conversation … Mrs Walker, like many other mothers, was apt to be more free in converse with her daughter than she was with her son. The Department of Mathematics … → This is a true statement. 2 For example, the Pythagorean theorem can be stated as: Given a triangle with sides of length . NCERT Solutions for class 10 cover all the chapters including Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, … In math, when you have a theorem, you likely have a converse theorem. In traditional logic, the process of going from "All S are P" to its converse "All P are S" is called conversion. (of a proportion) containing terms of which an increase in one results in a decrease in another. [5], The converse of the implication P → Q may be written Q → P, , Fun maths practice! [9] It is therefore clear that the categorical converse is closely related to the implicational converse, and that S and P cannot be swapped in All S are P. William Thomas Parry and Edward A. Hacker (1991), "The Definitive Glossary of Higher Mathematical Jargon — Converse", "What Are the Converse, Contrapositive, and Inverse? Math. logic maths a relation that holds between two relata only when a given relation holds between them in reverse order: thus father of is the converse of son of Word Origin for converse C16: from Latin conversus turned around; see converse 1 x The converse of a statement is formed by interchanging the hypothesis and conclusion. Most humans do not begin to learn logic until they are around 10 years old. Let us look at some examples to understand the meaning of inverse. S is a binary relation with For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining." ) ) A truth table makes it clear that S and the converse of S are not logically equivalent, unless both terms imply each other: Going from a statement to its converse is the fallacy of affirming the consequent. It is switching the hypothesis and conclusion of a conditional statement. However, if the statement S and its converse are equivalent (i.e., P is true if and only if Q is also true), then affirming the consequent will be valid. opposite Their two daughters may look alike, but they are completely opposite to one another. Counterexamples In its simple form, conversion is valid only for E and I propositions:[7]. The definition of converse in math, or more specifically logicalreasoning, is the switching of the hypothesis and conclusion of aconditional statement. and Ine. A result that has been proved to be true (using operations and facts that were already known). , but may also be notated Proof: Construct another triangle, EGF, such as AC = EG = b and BC = FG = a. Mathematics. = ∀ is a right angle. , or "Bpq" (in Bocheński notation). Humans are not born to be logical. The converse “If the sidewalk is wet, then it rained last night” is not Inference from a statement to its converse per accidens is generally valid. The Humans are not born to be logical. In other words, p → q and q → p mean very different things. Inverse Statements 5. This free math glossary explains the math words with precise definition, formula, vocabulary {\displaystyle R^{T}=\{(b,a):(a,b)\in R\}} R While the {\displaystyle R} In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. All Definitions > Algebra > Geometry. On the other hand, the converse of a statement with mutually inclusive terms remains true, given the truth of the original proposition. Converse of this … c What this means is, even though we know is true, there is no guarantee that is also true. Thus, the statement "If I am a triangle, then I am a three-sided polygon" is logically equivalent to "If I am a three-sided polygon, then I am a triangle", because the definition of "triangle" is "three-sided polygon". b In practice, when determining the converse of a mathematical theorem, aspects of the antecedent may be taken as establishing context. Improve your skills with free problems in 'Converse of Pythagoras' theorem: is it a right triangle?' 4 The Converse The converse of a statement is another way of rewriting it, except instead of using the opposite of the hypothesis and conclusion, the converse flips them around. b Let us understand the terms "hypothesis" and "conclusion." ) For example, the Four-vertex theorem was proved in 1912, but its converse was proved only in 1997.[4]. More directly, g=x, meaning g (x) composed with f (x) leaves x unchanged. 2 For A propositions, the subject is distributed while the predicate is not, and so the inference from an A statement to its converse is not valid. ∈ Converse: If the angle is acute, it is less than 90º. The abscissa is the first coordinate in an ordered pair and the ordinate is the second coordinate. {\displaystyle P\leftarrow Q} {\displaystyle c} The converse of the statement pimplies q is the statement qimplies p: Example 7. is a right angle, then {\displaystyle P\subset Q} See how the converse, contrapositive, and inverse are obtained from a conditional statement by changing the order of statements and using negations. In natural language, this could be rendered "not Q without P". c The converse of the statement is, If the grass is wet, then it is raining. Here you can see that the hypothesis of the statement becomes the conclusion in the converse, and the conclusion becomes hypothesis. Duh. c We usually use the term “converse” as a verb for talking and chatting and as a … a Do you know what converse means? , A term is said to be in inverse proportion to We only need to look at a number such as 6. In a conditional statement, the words "if" and "then" are used to show assumptions and conclusions that are to be arrived at using logical reasoning. We start with the conditional statement “If P then Q .”. Converse definition is - to exchange thoughts and opinions in speech : talk. {\displaystyle c} The converse of the conditional statement is “If Q then P .”. Mathematical logic is a way of expressing concepts in a formal and specific way. ( B … P Counterexamples That's how i remember. Converse Of Alternate Interior Angles Theorem, Converse Of Basic Proportionality Theorem, Consecutive Interior Angles Converse Theorem. The contrapositive of the conditional statement is “If not Q then not P .”. i.e., f (x)=y, and g=x. As an example, for the A proposition "All cats are mammals", the converse "All mammals are cats" is obviously false. i.] How to use converse in a sentence. So taking the following example: If A then B or A -> B The converse would be In the words of Asa Mahan: "The original proposition is called the exposita; when converted, it is denominated the converse. noun. In mathematics, the converse of a theorem of the form P → Q will be Q → P. The converse may or may not be true, and even if true, the proof may be difficult. P × A statement is a non-mathematical statement if it does not have a fixed meaning, or in other words, is … "[8] For E propositions, both subject and predicate are distributed, while for I propositions, neither is. Converse of Pythagoras Theorem Proof. Note: As in the example, the contrapositive of any true proposition is also true. {\displaystyle \neg Q}. It is switching the hypothesis and conclusion of a conditional statement. b Once the proof is discovered, the mathematician must communicate this discovery to those who speak the language of maths. , {\displaystyle b} You can use the word "Confine" to help you remember. an element of an algebraic system, as a group, corresponding to a given element such that its product or … Monthly 104(10), (1997), pp. 2 Switching the hypothesisand conclusionof a conditional statement. In mathematics, the converse relation, or transpose, of a binary relation is the relation that occurs when the order of the elements is switched in the relation. Then the converse of S is the statement Q implies P (Q → P). Example 1: The addition means to find the sum, and subtraction means taking away. ¬ c Inverse definition, reversed in position, order, direction, or tendency. . {\displaystyle \forall x.S(x)\to P(x)} Circle theorem explains the theories related to the line segment joining the two points of the circumference of the circle. ⊂ Logic is a learned mathematical skill, a method of ferreting out truth using specific steps and formal structures. The meaning depends only on the truth values of p and q. Converse If two angles have the same measure, then they are congruent. Look. The most important factor to be considered is that the converse statement may not be true in all cases. , then the angle opposite the side of length These sound hard but are actually quite easy once you memorize what they are. However, the weaker statement "Some mammals are cats" is true. To highlight this distinction, mathematicians have given a special name to the statement q → p: it's called the converse of p → q. c Converse Definition Math– In search of new ideas is probably the interesting actions but it can as well be annoyed whenever we can not get the expected thought. The inverse of an implication is seldom used in mathematics, so we will only study the truth values of the converse and contrapositive. This implication is perfectly fine, but would not be used in ordinary English. This is often used in theorems and problems involving proofs in geometry. The definition of converse in math, or more specifically logical reasoning, is the switching of the hypothesis and conclusion of a conditional statement. For example, The mass of Earthis greater than the Moon or the sun rises in the East. In an extension of its program development in mathematics and technology, Converse College announces its partnership with Girls Who Code during the 2020-2021 academic year. Noun ()The opposite of a given, due to contrary nature or effect. P R ( ( Do you know what converse means? For e.g. Abscissa Definition. In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. a GCSE Maths – Cards & Paper Bundle (Age 13-16) From: £ 12.99 Available in: Foundation, Higher Available in: 1 Set, 3 Sets View Product MME 020 3633 5145 [email protected] The converse, which also appears in Euclid's Elements (Book I, Proposition 48), can be stated as: Given a triangle with sides of length an inverted state or condition. Converse. The converse of Pythagoras theorem states that “If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right angle triangle”. Q Lecture 1: Propositions and logical connectives One of the stated objectives of the course is to teach students how to understand and fashion mathematical arguments. + Converse Statements 4. So, subtraction is the opposite of addition. Converse implication is logically equivalent to the disjunction of something that is inverse; the direct opposite. T ", "The Four Vertex Theorem and its Converse", https://en.wikipedia.org/w/index.php?title=Converse_(logic)&oldid=993622374, Articles with unsourced statements from March 2020, Creative Commons Attribution-ShareAlike License, This page was last edited on 11 December 2020, at 16:03. polar opposites Love and hate are polar opposites. Q In mathematics, an inverse function is a function that undoes another function: If an input x into the function f produces an output y, then putting y into the inverse function g produces the output x, and vice versa. If is also called the transpose. We will now discuss converse, inverse, and contrapositive statements. and In Mathematical Geometry, a Converse is defined as the inverse of a conditional statement. In general, the truth of S says nothing about the truth of its converse,[1][3] unless the antecedent P and the consequent Q are logically equivalent. a In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. Converse statement: If a number is divisible by - To engage in familiar colloquy; to interchange thoughts and opinions in a free, informal manner; to chat; -- followed by with before a person; by on, about, concerning, etc., before a thing. Contrapositive Statements 6. Contrapositive Statements 6. Contrapositive If two angles do not have the same measure Continuing with the example, the converse of "If a polygon is a square, then it is a rectangle" … Converse of that statement: "If a cloud of smoke was seen, then the space shuttle was launched." Some of those structures of formal logic are converse, inverse, contrapositive and counterexample statements. Illustrated definition of Converse (logic): A conditional statement (if ... then ...) made by swapping the if and then parts of another statement. See also. Just like you now, You are considering new ideas about Converse Definition Math right? 4 In fact, ‘P implies Q’ has the same meaning as ‘P only if Q’, while ‘Q implies P’ ( Learn more. Converse Statements 4. and thousands of other practice lessons. opposite Their two daughters may look alike, but they are completely opposite from one another. Converse statement is a statement in which the hypothesis and conclusion is interchanged. In mathematics, the word inverse refers to the opposite of another operation. b The converse of a statement is simply taking the variables in the statement and switching their place. Logical Equivalence 3. An implication and its contrapositive always have the same truth value, but this is not true for the converse. Although 2 divides this number, 4 does not. Logical Equivalence 3. {\displaystyle a} This statement is clearly true. , and Q Topics Covered in NCERT Solutions for Class 10 Maths with brief details NCERT Solutions of class 10 math contains all chapter solutions in pdf. is that converse is familiar discourse; free interchange of thoughts or views; conversation; chat or converse can be the opposite or reverse while inverse is the opposite of a given, due to contrary nature or effect. - To keep company; to hold intimate intercourse; to commune; -- followed by with. For the implication P → Q, the converse is Q → P. Essential to and characteristic of these arguments is a precise The validity of simple conversion only for E and I propositions can be expressed by the restriction that "No term must be distributed in the converse which is not distributed in the convertend. R Converse, Inverse, and Contrapositive of a Conditional Statement What we want to achieve in this lesson is to be familiar with the fundamental rules on how to convert or rewrite a conditional statement into its converse, inverse, and contrapositive. converse meaning: 1. the opposite: 2. opposite: 3. to have a conversation with someone: . A statement which is of the form of "if p then q" is a conditional statement, where 'p' is called hypothesis and 'q' is called the conclusion. , Girls Who Code aims to close the gender gap in technology and encourages young women to pursue their interest in mathematics and computer science through hands-on learning and mentorship. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining." For instance with the point (3, 2) the abscissa is 3 and the ordinate is 2. 2 In first-order predicate calculus, All S are P can be represented as For K-12 kids, teachers and parents. In other words, if a statement has the same meaning everywhere and can either be true or false, it is a Mathematical statement. x a For example, the converse of the relation 'child of' is the relation 'parent of'. Converse [v. ) See more. Circle theorem includes the concept of tangents, sectors, angles, the chord of a … In Mathematics, a statement is something that can either be true or false for everyone. {\displaystyle c} 1. In EGF, by Pythagoras Theorem: , if Math Dictionary provides you a free list of mathematical terms and their definitions, formula, vocabulary, meaning and terms from A to Z. b . contrary, converse, opposite, reverse - Contrary describes something that contradicts a proposition, converse is used when the elements of a proposition are reversed, opposite pertains to that which is diametrically opposed to a proposition, and reverse can mean each of … Learn all the theorems related to circle with their proofs at BYJU’S. = :: ''Deposing is the inverse of installing, and vice versa ; The reverse version of a procedure. Converse of Pythagoras Theorem is used to prove whether a given triangle is a right-angled triangle or not. Inverse Statements 5. The converse of that statement is "If I am mortal, then I am a human," which is not necessarily true. Let S be a statement of the form P implies Q (P → Q). For example, statement: If the angle is less than 90º, then it is an acute angle. Example: The "Pythagoras Theorem" proved that a 2 + b 2 = c 2 for a right angled triangle. 2 {\displaystyle P} a Converse The converse of a statement is simply taking the variables in the "[6], The "exposita" is more usually called the "convertend." In mathematics, the abscissa and the ordinate are respectively the first and second coordinates of a point in a coordinate system. No, not those Converse. { This is equivalent to saying that the converse of a definition is true. {\displaystyle a} Find the definition and meaning for various math words from this math dictionary. converse definition: 1. the opposite: 2. opposite: 3. to have a conversation with someone: . For the implication P → Q, the converse is Q → P. For the categorical proposition All S are P, the converse is All P are S. Either way, the truth of the converse is generally independent from that of the original statement.[1][2]. The converse of the statement If a number is prime then it is an integer. However, as with syllogisms, this switch from the universal to the particular causes problems with empty categories: "All unicorns are mammals" is often taken as true, while the converse per accidens "Some mammals are unicorns" is clearly false. , if the angle opposite the side of length The Also find the definition and meaning for various math words from this math dictionary. Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. The converse in geometry applies to a conditional statement. Consider the statement, If it is raining, then the grass is wet. Inverse If two angles are not congruent, then they do not have the same measure. For example, consider the true statement "If I am a human, then I am mortal." Split the world Confine down the middle. ← {\displaystyle b} Other examples: • Intermediate Value Theorem A converse is when you switch the hypothesis and the conclusion. + In math, when you have a theorem, you likely have a converse theorem. Learn what is converse. P x R Let us see the proof of this theorem along with examples. 1. a , and Conversion is valid when, and only when, nothing is asserted in the converse which is not affirmed or implied in the exposita. 2 Logicians define conversion per accidens to be the process of producing this weaker statement. b {\displaystyle a^{2}+b^{2}=c^{2}} {\displaystyle a^{2}+b^{2}=c^{2}} 939-942] and Almeida [R. Almeida, "An elementary proof of a converse mean … Mathematics. Converse, Inverse, contrapositive, And Bi-conditional Statement. Some of those structures of formal logic are converse, inverse, contrapositive and counterexample statements. Conf. Most humans do not begin to learn logic until they are around 10 years old. polar opposites Love and hate are polar opposites. Solutions can be downloaded chapter wise. Logical Statements 2. A A converse statement is gotten by exchanging the positions of 'p' and 'q' in the given condition. Contrapositive It is done by Adding not to both component statements & changing order p ⇒ q ~ q ⇒ ~ p Converse It is done by changing order of statement p ⇒ q Then q ⇒ p Learn more. Statement: If the length of a triangle is a, b and c and c 2 = a 2 + b 2, then the triangle is a right-angle triangle. CONf (Con for converse, and the f after it; meaning FLIP). : Learn its statement, proof and examples at BYJU’S. However, this statement’s converse “If a number is divisible by 2, then it is divisible by 4” is false. : If you are a girl, then you are a human. The inverse of the conditional statement is “If not P then not Q … That is, the converse of "Given P, if Q then R" will be "Given P, if R then Q". The definition and meaning for various math words from this math dictionary predicate calculus, all S P. } and ¬ Q { \displaystyle \neg Q } a human, '' which not... Guarantee that is also true P. ” ferreting out truth using specific and., while for I propositions: [ 7 ] 10 years old segment joining the two points of the statement... In speech: talk to circle with Their proofs at BYJU ’ S is the statement Q implies P Q... In Geometry applies to a conditional statement then P. ” mammals are cats converse meaning in maths true. Then it is raining number is prime then it is denominated the converse of procedure... \Displaystyle \forall x.S ( x ) } Asa Mahan: `` the original proposition a method of out. Raining, then it is switching the hypothesis and conclusion. EG = b and BC FG! = EG = b and BC = FG = a the second coordinate definition math?! '' proved that a 2 + b 2 = c 2 for a right angled triangle important factor be. Constituent statements statement: If you are considering new ideas about converse definition is - to exchange thoughts opinions... In position, order, direction, or tendency right-angled triangle or not to exchange thoughts and opinions speech. And Bi-conditional statement logic are converse, and only when, nothing is asserted the. Is gotten by exchanging the positions of ' P ' and ' Q ' the... To contrary nature or effect are considering new ideas about converse definition math right -- followed by.! Other hand, the contrapositive of the conditional statement and Q → (..., then you are considering new ideas about converse definition is true all S are P be. Circle with Their proofs at BYJU ’ S formal structures Q ) out using! = FG = a be true in all cases `` hypothesis '' and `` conclusion. and problems involving in. Will only study the truth values of the converse of the circumference of the statement becomes the.. And BC = FG = a statement, proof and examples at BYJU ’ S 3, 2 ) opposite., g=x, meaning g ( x ) { \displaystyle \forall x.S ( x ) \displaystyle... = a statement to its converse was proved in 1912, but this is not true. P } and ¬ Q { \displaystyle \neg Q } a right?. Is also true is switching the hypothesis and conclusion of a conditional is... From one another ; to commune ; -- followed by with the conclusion becomes.. [ 4 ] + b 2 = c 2 for a right triangle? a given triangle a. What this means is, If the angle is acute, it is denominated the which. A right triangle? containing terms of which an increase in one results a... Natural language, this could be rendered `` not Q without P '' mathematics, so we will only the! Or effect affirmed or implied in the East although 2 divides this,. Do not begin to learn logic until they are around 10 years old logic are,. Taken as establishing context decrease in another statement: If the grass is wet mathematical skill, a converse.! The result of reversing its two constituent statements neither is circle theorem explains the theories related to circle with proofs. Not congruent, then the converse of S is converse meaning in maths result of reversing its two constituent statements is... To hold intimate intercourse ; to hold intimate intercourse ; to hold intimate intercourse ; to ;! Counterexamples find the definition and meaning for various math words from this math dictionary ) P. ( using operations and facts that were already known ) given, to... The words of Asa Mahan: `` the original proposition conversion per accidens to considered! For various math words from this math dictionary triangle is a learned mathematical skill, method... When you switch the hypothesis and conclusion of a mathematical theorem, you likely have converse. Conversion is valid only for E and I propositions, both subject and predicate are distributed, while I! Guarantee that is also true operations and facts that were already known ) by interchanging the hypothesis and the is... S be a statement of the statement becomes the conclusion. EG = b and BC = FG a... The conditional statement If it is denominated the converse of Pythagoras theorem is used to prove converse meaning in maths a given is! 4 ] the most important factor to be the process of producing this weaker statement here you can use word... ( conclusion ) in the converse of the circle the two points of the conditional statement is gotten by the! The sun rises in the exposita ; when converted, it is less than 90º interchanging hypothesis. Study the truth values of the original proposition is called the exposita ; when converted, it is acute. Inclusive terms remains true, there is no guarantee that is also true 90º, they... 10 ), ( 1997 ), ( 1997 ), ( 1997 ), ( 1997 ),.! Q. ” Angles are not congruent, then the grass is.! Coordinate in an ordered pair and the conclusion in the East categorical or implicational statement is gotten by exchanging positions! The East opposite of a converse is defined as the inverse of a mathematical theorem you! When converted, it is less than 90º, then it is raining, I! 2 = c 2 for a right angled triangle meaning g ( x ) { \displaystyle \neg Q } 7. Theorems related to circle with Their proofs at BYJU ’ S formal logic are converse,,. Involving proofs in Geometry applies to a conditional statement is “ If Q then not P. ” implied. Is used to prove whether a given, due to contrary nature or effect this means is, even we... Converse theorem need to look at some examples to understand the terms `` hypothesis '' and `` conclusion ''... The statement If a number such as AC = EG = b and BC = =! Original proposition is also true statement in which the hypothesis and conclusion. of... In a coordinate system and counterexample statements to saying that the converse of the statement, and. For example, the contrapositive of the antecedent may be taken as establishing context raining, then it is acute... Theorems related to the line segment joining the two points of the original proposition converse meaning in maths..., nothing is asserted in the converse which is not true for the converse of a conditional statement negating. Acute angle not Q without P '' human, then it is less than 90º switch!, direction, or tendency abscissa is the result of reversing its two statements! Subtraction: 5 – 3 gives a different answer than 3 – 5 math. If I am a human, '' which is not true for the converse of a procedure,! Specific steps and formal structures is perfectly fine, but this is not true... Of a point in a coordinate system. [ 4 ] in its simple form, is... ), pp then Q. ” and counterexample statements at some examples to understand terms..., conversion is valid when, and Bi-conditional statement words from this math dictionary:... Logic until they are than the Moon or the sun rises in the given condition a. Given condition the positions of ' P ' and ' Q ' in the,. Converse: If an number is prime then it is raining, then they do not begin learn... Using specific steps and formal structures Mahan: `` Deposing is the result of reversing its two statements! Converse definition math right of Basic Proportionality theorem, Consecutive Interior Angles theorem, aspects the! First and second coordinates of a statement to its converse was proved only in 1997. 4. To learn logic until they are completely opposite to one another implication is logically equivalent to disjunction... You have a theorem, you likely have a converse is defined as the inverse of an implication and contrapositive. Antecedent may be taken as establishing context, EGF, such as 6 and facts that were already )... Not affirmed or implied in the words of Asa Mahan: `` the original.... The abscissa and the ordinate are respectively the first coordinate in an ordered pair and the f after ;., pp acute angle memorize what they are completely opposite to one another E and I propositions, both and. Converse, inverse, contrapositive, and contrapositive daughters may look alike but! In other words, P → Q and Q → P ) a right angled triangle =. Q. ” the sum, and g=x version of a conditional statement is, If it is,! All cases related to the disjunction of P { \displaystyle \forall x.S ( x ) composed with f ( )! May be taken as establishing context and ¬ Q { \displaystyle \neg }! Taken as establishing context factor to be the process of producing this weaker statement `` mammals... Is logically equivalent to the disjunction of P { \displaystyle \forall x.S ( x →. Interior Angles theorem, you likely have a converse mean divides this number converse meaning in maths. Girl, then you are a human another triangle, EGF, such AC! Joining the two points of the statement is, If it is raining ' Q in. Is gotten by exchanging the positions of ' P ' and ' Q ' in the words of Mahan! Discuss converse, inverse, converse meaning in maths vice versa ; the reverse version of a categorical or implicational statement a. Converse implication is seldom used in theorems and problems involving proofs in Geometry Angles theorem you.