Lesson 3-3 Converse, Inverse, and Contrapositive Learning Targets: Write and determine the truth value of the converse, inverse, and contrapositive of a conditional statement. by . This lesson will help you with ideas for teaching these statements and their alternate forms: the inverse, converse, and contrapositive. How do you know if something is true? Please click OK or SCROLL DOWN to use this site with cookies. Notes: Let p p p be the hypothesis and q q q be the conclusion. a) Find the converse, inverse, and contrapositive. Conditional statements are written i . Counterexamples Write four true conditional statements based on this biconditional statement. You should recognize this as the definition of an obtuse angle. Converse, Inverse, and Contrapositive: Lesson For Students 9th - 12th. matthew_so9. We explain Converse, Inverse, and Contrapositive of an If-Then Statement with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. You can start by discussing a concept they know. Teaching students to work with conditional statements is a great exercise in critical thinking. The converse of the given statement is which of the following? Give students page to read the definitions of converse, inverse, and contrapositive statements. Conditional converse inverse contrapositive worksheets Author: Wetagoyeme Bilocoto Subject: Conditional converse inverse contrapositive worksheets. The birds flock together or there must be an early worm. is 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. Negation . Therefore, the contrapositive of the conditional statement {\color{blue}p} \to {\color{red}q} is the implication ~\color{red}q \to ~\color{blue}p. Now that we know how to symbolically write the converse, inverse, and contrapositive of a given conditional statement, it is time to state some interesting facts about these logical statements. 0000 Lesson 3-3 Converse, Inverse, and Contrapositive If a given conditional statement is true, the converse and inverse are not necessarily true. 10. Contrapositive Statements 6. "It rains" Conditional statements are ~'if-then~' statements. hakunahmatata40150. Notice for the inverse and converse we can use the same counterexample. Convert the following sentences into inverse, converse and contrapositive- a) If Tim is Martha's father, then Kenny is her uncle and Suzane is her aunt b) If it does not walk like a chicken and it does not talk like a chicken, then it is not a chicken. Converse Statements 4. The inverse is formed by negating both the hypothesis and the conclusion. ," we can create three related statements: A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause. Before we define the converse, contrapositive, and inverse of a conditional statement, we need to examine the topic of negation. If two angles do not have the same measure, then they are not congruent. In symbolic form it would be: q\ \to p q → p A contrapositive statement is formed by negating both the hypothesis and conclusion, AND switching them. If you recall from our propositions lesson, a conditional statement takes the form of “if p, then q”, denoted as p→q. . Humans are not born to be logical. I stop students after about 8 minutes and we go over the answers. Written in English, the inverse is, "If it is not a mirror, then it is not shiny," while the contrapositive is, "If it is not shiny, then it is not a mirror." SUGGESTED LEARNING STRATEGIES: Vocabulary Organizer, Interactive Word Wall, Think-Pair-Share, Group Presentation, , then Instructors are independent contractors who tailor their services to each client, using their own style, Logic: Converse, Inverse, Contrapositive In this lesson, we will be continuing our discussion on conditional statements, which we introduced in our propositions lesson. A 'n' D Tutoring. “If it does not rain, then they do not cancel school.”, To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. Explanation: For the statement "If A then B", the converse is "If B then A," the inverse is "If not A then not B," and the contrapositive is "If not B then not A." onverse , th©invers , and the contrapositive of the conditional statement. The inverse of . We explain Converse, Inverse, and Contrapositive of an If-Then Statement with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. If a quadrilateral has two pairs of parallel sides, then it is a rectangle. Suppose you have the conditional statement {\color{blue}p} \to {\color{red}q}, we compose the contrapositive statement by interchanging the hypothesis and conclusion of the inverse of the same conditional statement. If they are false, find a counterexample. We use cookies to give you the best experience on our website. However, the contrapositive of a true conditional is always true, and the contrapositive of a false conditional is always false. Logic is a learned mathematical skill, a method of ferreting out truth using specific steps and formal structures. This is because the inverse and converse are also logically equivalent. For a given the conditional statement {\color{blue}p} \to {\color{red}q}, we can write the converse statement by interchanging or swapping the roles of the hypothesis and conclusion of the original conditional statement. Contrapositive, Inverse, Converse & Conditionals 14 Terms. With that, the first half of the lesson is over. The converse of Contrapositive: If I don't eat more, then I don't want to gain weight. Therefore. Award-Winning claim based on CBS Local and Houston Press awards. The contrapositive of Sem.1 ---> 2.03: Reasoning 2 8 Terms. Here are some of the important findings regarding the table above: Introduction to Truth Tables, Statements, and Logical Connectives, Truth Tables of Five (5) Common Logical Connectives or Operators. q Thus, the inverse is the implication ~\color{blue}p \to ~\color{red}q. Which statement is the contrapositive of the given statement? p Write a conditional statement on the board and under it, write the converse, inverse, and In addition, the statement “If p, then q” is commonly written as the statement “p implies q” which is expressed symbolically as {\color{blue}p} \to {\color{red}q}. Lesson 3-3 Converse, Inverse, and Contrapositive Check Your Understanding 6. "If it rains, then they cancel school" When you think about it, it is a really important question. The art and science of logic is one with deep roots in Western history and philosophy, and over the … In symbolic form it would be: ~ p p p → \to → ~ q q q A converse statement is formed by switching the hypothesis and the conclusion of the conditional. Math Homework. 00:17:48 – Write the statement and converse then determine if they are reversible (Examples #9-12) 00:29:17 – Understanding the inverse, contrapositive, and symbol notation; 00:35:33 – Write the statement, converse, inverse, contrapositive, and biconditional statements for each question (Examples #13-14) OTHER SETS BY THIS CREATOR. 1.Statement: If today is Tuesday, then tomorrow will be Wednesday. Most humans do not begin to learn logic until they are around 10 years old. Allow students to come up with their own ideas of conditions or rules. Varsity Tutors connects learners with experts. Converse, Inverse, and Contrapositive: Lesson For Students 9th - 12th. Finally, the contrapositive is formed by However, the second half of this lesson would really focus on the truth-value of each statement. Write and interpret biconditional statements. HCCMathHelp 138,287 views. Displaying top 8 worksheets found for - Inverse Converse Contrapositive. On the other hand, the conclusion of the conditional statement \large{\color{red}p} becomes the hypothesis of the converse. This lesson will present how to determine if a newly written statement is the converse, inverse, or contrapositive of an if-then statement. Use an inquisitive resource to find the truth of related statements. In this case, that means You should recognize this as the definition of an obtuse angle. An angle is a right angle if and only if it measures 900 A conditional statement is true, and its inverse is false. Algebra Practice #2: Conversions 20 Terms. Converse, Inverse, Contrapositive Given an if-then statement "if p , then q ," we can create three related statements: A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause. Some of those structures of formal logic are converse, inverse, contrapositive and counterexample statements. (4) Logical argument and constructions. Converse, Inverse, and Contrapositive: Lesson For Students 9th - 12th. A conditional statement is also known as an implication. Write the converse, inverse, and contrapositive of the following statement. If a person is a banjo player, then the person is a musician. contrapositive 11. ... Converse, Inverse & Contrapositive Statements 127-1.10 - Duration: 5:52. Which statement is the converse of the given statement? What can you Lesson 3-3 Converse, Inverse, and Contrapositive Check Your Understanding 6. agrieser. 9. If a quadrilateral is a rectangle, then it has two pairs of parallel sides. If a quadrilateral is not a rectangle, then it does not have two pairs of parallel sides. is the hypothesis. 4.9/5.0 Satisfaction Rating over the last 100,000 sessions. What can you b) Determine if the statements from part a are true or false. English Lessons with Adam - Learn English [engVid] Recommended for you. Some of the worksheets for this concept are Unit 4 logic packet, Plainfield north high school, Logical conditionals, Geometry, Chapters proofs some sets solutions, Unit 6 math 116 logic, Logic and conditional statements, Lesson practice a conditional statements. “ Carefully observing the statement we see that the person will get a new game only if he satisfies the given condition to pass the test. When you have a conditional statement, you can derive three related statements, known as the converse, inverse, and contrapositive. Given an if-then statement "if We start with the conditional statement “If P then Q.” The converse of the conditional statement is “If Q then P.” How might you state something that has a condition? An angle is a right angle if and only if it measures 900 A conditional statement is true, and its inverse is false. The conditional statement is logically equivalent to its contrapositive. ∨ Negation 3. → Biconditional 5. Kayegirl. As of 4/27/18. 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