Converse Statement. We explain Converse of an If-Then statement with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. Consider the conditional statement: If Estelle goes out in the rain without an umbrella, she will get wet. conditional statement. If you eat a lot of vegetables, then you will be healthy. If we reverse the hypothesis and conclusion, we have 'If a polygon is a triangle, then it has three sides.' Here 'p' is the hypothesis and 'q' is the conclusion. Hypothesis: If I have a pet goat … 2. In the lesson about conditional statement, we said that the symbol that we use to represent a conditional is p → q. Inverse Statement-If you will not qualify GATE, then you do not work hard. Emily's dad watches a movie if he has time. counterexample. Does it have three sides? A statement that is of the form "If p then q" is a conditional statement. 90. At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students! Conditional statements, Converse, Inverse, Negation, Contrapositive. Inverse If two angles are not congruent, then they do not have the same measure. Note: As in the example, a proposition may be true but have a false converse. A converse statement is the opposite of a conditional statement. For e.g. Is the converse of the statement true? The converse statement is " If Cliff drinks water then she is thirsty". So, the conclusion, or the second part, is true. A statement obtained by negating the hypothesis and conclusion of a conditional statement. Statement: If a quadrilateral is a rectangle, then it has two pairs of parallel sides. Converse.Switching the hypothesis and conclusion of a conditional statement. If not, please find an example to show it's false. It might create a true statement, or it could create nonsense: 1. In Geometry the conditional statement is referred to as p → q. ", The inverse statement is "If John does not have time, then he does not work out in the gym.". For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining." That is, we just need to flip the hypothesis and conclusion of a conditional statement to find its converse. Given a conditional statement, the student will write its converse, inverse, and contrapositive. - Conditional statement, If Emily's dad does not have time, then he does not watch a movie. A statement is logically equivalent if the "if-then" statement and the contrapositive Conclusion: … then my homework will be eaten.Create the converse statement: 1. - Inverse statement, If I am not waking up late, then it is not a holiday. Here are a few activities for you to practice. That statement is true. conclusion. We want to switch the hypothesis and the conclusion, which will give us: "If something has seeds, then it is a watermelon." the converse of a conditional statement "p implies q" is given by "q implies p". Converse statement is a statement in which the hypothesis and conclusion is interchanged. - Contrapositive statement. Logically Equivalent. We know it is untrue because plenty of quadrilaterals exist that are not squares. "If we have to to travel for a long distance, then we have to take a taxi" is a conditional statement. A statement formed by interchanging the hypothesis and conclusion of a statement is its converse. How do you write statements in if/then form. hypothesis. A statement obtained by exchanging the hypothesis and conclusion of an inverse statement. (if not q then  not p). Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement. A contrapositive statement changes "if not p then not q" to "if not q to then, not p.", If it is a holiday, then I will wake up late. Contrapositive If two angles do … How to find the converse of a conditional statement: definition, 2 examples, and their solutions. Write the converse, inverse, and contrapositive statements and verify their truthfulness. A conditional statement is a statement in the form of "if p then q," where 'p' and 'q' are called a hypothesis and conclusion. 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. ", "If John has time, then he works out in the gym. It is to be noted that not always the converse of a conditional statement is true. This is false because people can go to the park even if it is not warm outside. The converse statement is "If Cliff drinks water, then she is thirsty.". Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in. Therefore, the converse of the given statement will be "If x = -5, then 3 - 2x = 13". Switching the hypothesis and conclusion of a conditional statement. Statement If two angles are congruent, then they have the same measure. Here 'p' refers to 'hypotheses' and 'q' refers to 'conclusion'. The converse of the conditional statement is “If, The contrapositive of the conditional statement is “If not, The inverse of the conditional statement is “If not, Interactive Questions on Converse Statement, if \(\begin{align}  p \rightarrow  q,\end{align}\) then, \(\begin{align}  q \rightarrow  p\end{align}\), if \(\begin{align} p \rightarrow q,\end{align}\) then, \(\begin{align}  \sim{p} \rightarrow  \sim{q}\end{align}\), if \(\begin{align} p \rightarrow q,\end{align}\) then, \(\begin{align}  \sim{q} \rightarrow  \sim{p}\end{align}\), if \(\begin{align} p \rightarrow q,\end{align}\) then, \(\begin{align}  q \rightarrow  p\end{align}\). Hope you enjoyed learning! $$\sim q\rightarrow \: \sim p$$ The contrapositive does always have the same truth value as the conditional. Converse If two angles have the same measure, then they are congruent. Given statement is - If you study well then you will pass the exam. If you study well then you will pass the exam. In this mini-lesson, we will learn about the converse statement, how inverse and contrapositive are obtained from a conditional statement, converse statement definition, converse statement geometry, and converse statement symbol. Answer. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining." Hypothesis: If my homework is eaten … 2. If a quadrilateral has two pairs of parallel sides, it is a rectangle. - Converse of Conditional statement. It is a combination of both a conditional statement and the converse of that conditional statement. Write the converse of the statement, "If something is a watermelon, then it has seeds." A. The most important factor to be considered is that the converse statement may not be true in all cases. For example, in geometry , "If a closed shape has four sides then it is a square" is a conditional statement, The truthfulness of a converse statement depends on the truth of hypotheses of the conditional statement. From the given inverse statement, write down its conditional and contrapositive statements. The conditional statement given is "If you win the race then you will get a prize.". A conditional statement (or 'if-then' statement) is a statement with a hypothesis followed. Converse: If the angle is acute, it is less than 90º. In a conditional statement "if p then q," 'p' is called the hypothesis and 'q' is called the conclusion. (If not q then not p). We could also negate a converse statement, this is called a contrapositive statement: if a population do not consist of 50% women then the population do not consist of 50% men. the then part of a conditional statement. If we think of our original statement as 'if p, then q,' then the converse is 'if q, then p.' With our example, is the converse true? To get the converse of a conditional statement, interchange the places of hypothesis and conclusion. an example used to … But the converse of that is nonsense: 1. ", Conditional statment is "If there is accomodation in the hotel, then we will go on a vacation." A conditional statement defines that if the hypothesis is true then the conclusion is true. (If not p, then not q), Contrapositive statement is "If you did not get a prize then you did not win the race ." This packet will cover "if-then" statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. Keep in mind though, that the converse of a statement is not always true! For example, in geometry, "If a closed shape has four sides then it is a square" is a conditional statement, The truthfulness of a converse statement depends on the truth of hypotheses of the conditional statement. What are Conditional and Converse statements? Here you can see that the hypothesis of the statement becomes the conclusion in the converse, and the conclusion becomes hypothesis. Note: As in the example, a proposition may be true but have a false converse. For example, "If Cliff is thirsty, then she drinks water." : If you are a girl, then you are a human. To get the inverse of a conditional statement, we negate both the hypothesis and conclusion. The inverse of the conditional statement is “If not P then not Q … Converse Statement: If a number is divisible by 2, then it is even. The inverse statement given is "If there is no accomodation in the hotel, then we are not going on a vacation. Contents. This is called the converseof a statement. Thus, the required converse statement is "If x = -5, then 3 - 2x = 13". Conditional Statement. If 2a + 3 <  10, then a = 3. Proof: Construct another triangle, EGF, such as AC = EG = b and BC = FG = a. 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