In 28 – 35, a conditional statement is given. Write the inverse of the conditional statement. B. 30) Arlette will get a role in the play if she auditions. Write in words a) the inverse, b) the converse, and c) the contrapositive of that conditional. Converse Statement Examples More specifically, given a conditional sentence of the form →, the inverse refers to the sentence ¬ → ¬. T he inverse of a conditional statement is not the contrapositive of the converse of the conditional statement. 28) If today is Friday, then tomorrow is Saturday. Find the converse, inverse, and contrapositive of conditional statements. Preview; The inverse of a conditional statement is arrived at by replacing the hypothesis and the conclusion with their negations. Inverse Statement formed from a conditional statement by negating the hypothesis and conclusion Contrapositive Statement formed from a conditional statement by switching AND negating the hypothesis and conclusion Biconditional Statement combining a conditional statement and its converse, using the phrase MEMORY METER. Example So using our current conditional statement, “If today is Wednesday, then yesterday was Tuesday”. - 1471617 In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. VARIATIONS ON THE CONDITIONAL STATEMENT Direct statement Converse Inverse Contrapositive If p, then q. If it is false, find a counterexample. To create the converse of a conditional statement, switch the hypothesis and conclusion. Given a conditional statement, we can write down the converse or inverse of this statement. This packet will cover "if-then" statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. Conditional statements drawn from an if-then statement. ... Converse, Inverse, and Contrapositive Statements. Use this packet to help you better understand conditional statements. Statement: if p then q. Converse: if q then p. Contrapositive: if not q, then not p. From the above, she is not correct. An equilateral triangle has three congruent sides. If … Some of these variations have special names. Neither of those is how mathematicians use converse. This indicates how strong in your memory this concept is. Statement: if p then q. Inverse: if not p, then not q. For example, the contrapositive of "If it is raining then the grass is … Converse and inverse are connected concepts in making conditional statements. To create the inverse of a conditional statement, turn both hypothesis and conclusion to the negative. Switching the hypothesis and conclusion of a conditional statement and negating both. For any conditional statement there are several other similar-sounding conditional statements. Now the inverse of an If-Then statement is found by negating (making negative) both the hypothesis and conclusion of the conditional statement. If a statement reads, "The vertex of an inscribed angle is on a circle", then the inverse of this statement is "The vertex of an angle that is not an inscribed angle is not on a circle." 29) If Douglas does well in college, then he will apply to medical school. What is the inverse of the conditional statement? If a polygon has five angles, then it is a pentagon. Contrapositive. % Progress . Practice. Select one: A. False; an isosceles triangle has two congruent sides. A non-equilateral triangle has three congruent sides. If a polygon is a pentagon, then it has five angles. Determine whether the inverse is true or false. 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