Inverse, converse and contrapositive worksheet for 9th. Displaying all worksheets related to conditional converse inverse contrapositive. Write in words a the inverse, b the converse, and c the contrapositive of that conditional. You will also learn how to determine whether or not a statement is biconditional. If you are a musician, then you are a guitar player.
Write the converse, the inverse, and the contrapositive of the conditional statement. What are the differences between inverse, converse, and. If two points are on the same line, then they are collinear. Write the converse, inverse, and contrapositive of each conditional statement and decide if each statement is true of false. Moveable gray and white boxes reveal key information. Use the law of detachment to reach a logical conclusion about the following statement.
Showing top 8 worksheets in the category converse inverse contrapositive. In classical logic, an implication is logically equivalent to its contrapositive, and, moreover, its inverse is logically equivalent to its converse. The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional. Worksheets are unit 4 logic packet, logic and conditional statements, lesson practice a conditional statements, conditional statements, geometry, geometry, converse and contrapositive work 3. This packet will cover ifthen statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. With aspects of the implication in our rear view mirror, we now want to form new compound statements from that original implication. Likewise, the converse and inverse of a conditional are either both true or both false. Write the converse of each conditional statement below.
Statements with the same truth values are logically equivalent. Conditional statements converse, inverse, contrapositive. Give students page to read the definitions of converse, inverse, and contrapositive statements. This lesson will help you with ideas for teaching these statements and their alternate forms. However, the contrapositive of a true conditional is always true, and the contrapositive of a false conditional is always false. Identify the converse, inverse, contrapostive of the given conditional statement. Name the relationship between the answer to exercise 7 and ifp, then q. The inverse and converse in logic are two ways of rewriting a statement with predefined structures. Whenever a conditional statement is true, its contrapositive is also true and vice versa.
Write and determine the truth value of the converse, inverse, and contrapositive of a conditional statement. Write a conditional statement on the board and under it, write the converse, inverse, and. Inverse converse contrapositive biconditional truth value negation counterexample conjecture. Oct 09, 2016 conditional statements converse, inverse, contrapositive. Unit 4 logic packet humble independent school district. Ixl converses, inverses, and contrapositives geometry. Converse inverse contrapositive teacher worksheets. Make a conclusion about the relative truth of the converse and inverse of a conditional statement. If an animal is black and white, then it is a penguin. Improve your math knowledge with free questions in converses, inverses, and contrapositives and thousands of other math skills.
To form the converse of the conditional statement, switch the hypothesis and the conclusion. Interactive word wall, thinkpairshare, group presentation, discussion groups. I think students will quickly realize not to do that whether we tell them or not and it seems to make adding detailed sentencespecific hints a bit more awkward. Conditional, contrapositive, inverse, converse, and.
Note that when we speak of logical equivalence for quantified statements, we mean that the statements. Conditional, converse, inverse, and contrapositive homework find the inverse, converse, and contrapositive of the statement. First, change the statement into an ifthen statement. Sophie alpert on converse, inverse, and contrapositive. Based on the picture alone, determine if each statement is true or false. What are the converse, contrapositive, and inverse. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Some of the worksheets displayed are converse and contrapositive work 3, inverse converse contrapositive and, logic and conditional statements, lesson practice a conditional statements, geometry notes inductive reasoning conditional, unit 4 logic packet, geometry work using logical.
Write a true conditional statement whose inverse is false. If water is frozen, then its temperature is below 0c. A conditional statement consists of two parts, a hypothesis in the if clause and a conclusion in the then clause. Converse, inverse, contrapositive homesweet learning.
Determine if the relationship is proportional worksheet. If a dog is not large, then it is not a great dane. Write the contrapositive of the converse of if p, then q. Converse, inverse, and contrapositive on exercise topics. In this geometry worksheet, students identify the inverse, converse and contrapositive of each sentence. Displaying all worksheets related to converse inverse contrapositive. Before we define the converse, contrapositive, and inverse of a conditional statement, we need to examine the topic of negation. Vocabulary organizer, suggested learning strategies. The negation of a statement simply involves the insertion of the word not at the proper part of the statement. The contrapositive okay, enough with the warmup, now its time to get really weird. Conditional and biconditional statements worksheets solution. For any conditional statement there are several other similarsounding conditional statements.
It is very important to realize that these two implications are not logically equivalent. Finally, if you negate everything and flip p and q taking the inverse of the converse, if youre fond of wordplay then you get the contrapositive. You may need to rewrite the statement in ifthen form first. Aug 11, 2014 here youll learn how to find the converse, inverse and contrapositive of a conditional statement. By having students choose their own statements, they cant determine. Converse, inverse, and contrapositive examples video. Variations on the conditional statement direct statement converse inverse contrapositive if p, then q. For instance, if it rains, then they cancel school. Write the contrapositive and inverse of each statement. Negations of quantified statements the negation of a universal statement all are is logically equivalent to an existential statement some are not or there is at least one that is not. Rewrite the following conditional statements in ifthen form. Write a inverse, b converse, c contrapositive of the following statement. If you are a guitar player, then you are a musician. Conditional and biconditional statements worksheets.
Were going to look at these three terms using this statement, if something is a dog, then it is a mammal. Converses, contrapositives and proof by the contrapositive. Contrapositive, inverse, converse, conditional, and biconditional. This lesson targets the converse, inverse, contrapositive of a conditional and then introduces biconditionals in the study of logic. Jacob wigfields answer is quite right and his example is very helpful. While weve seen that its possible for a statement to be true while its converse is false, it turns out that the contrapositive is better behaved. Given a conditional statement if p, then q if it rains, then they cancel school. Converse inverse contrapositive printable worksheets.
The concepts of inverse, converse, and contrapositive refer specifically to forms of conditional assertions or proposit. Learn vocabulary, terms, and more with flashcards, games, and other. Now if you take a second to think about that, thats true. Conditional converse inverse contrapositive worksheets. Converse, inverse, contrapositive given an ifthen statement if p, then q, we can create three related statements. Converses, contrapositives and proof by the contrapositive the converse of the implication p q is the reverse implication q p. Grieser page 3 write the conditional ifthen form, converse, inverse, and contrapositive forms of the following statements.
Determine if each resulting statement is true or false. If it rains today, soccer practice will be canceled. Worksheets are converse and contrapositive work 3, inverse converse contrapositive and, logic and conditional statements, lesson practice a conditional statements, geometry notes inductive reasoning conditional, unit 4 logic packet, geometry work using logical reasoning, geometry. Worksheet geometry inverses, contrapositives, and indirect reasoning worksheet. Distributive property of multiplication worksheet ii. Showing top 8 worksheets in the category conditional converse inverse contrapositive. The logical converse and inverse of the same conditional statement are logically equivalent to each other. If two segments are congruent, then they have the same length.
Write the converse, inverse, and contrapositive for each of the following conditional statements. It is not possible to determine whether or not the converse and inverse of a statement are true if all you have is knowledge of the original statement, although if either the converse or inverse of a statement is true, the other is true as well. Converse, inverse, and contrapositive find the converse, inverse, and contrapositive. I only offer a bit of clarification and some precision. Converse, inverse, and contrapositive learning targets. Converse, inverse, and contrapositive statements this activity should be done after you have discussed conditional statements. Logic and proof converse, inverse, and contrapositive. It can be modified to only focus on converse, inverse, contrapositive or just biconditionals.
Converse, inverse, and contrapositive statements read. This twopage worksheet contains practice writing biconditionals as well as inverse, converse, and contrapositive statements. Asked in calculus, definitions, geometry what is converse inverse and contrapositive. These new statements are called the converse, inverse, and contrapositive statements. They complete the chart and color boxes with true statements in order to notice that the truth values of the original conditional statement and its contrapositive always match. This inverse, converse and contrapositive worksheet is suitable for 9th 11th grade. Students must also identify truth values and give counterexamples for false statements. Converse inverse contrapositive worksheets teacher. Converse, inverse, and contrapositive the math doctors. Some of the worksheets displayed are unit 4 logic packet, logic and conditional statements, lesson practice a conditional statements, conditional statements, geometry, geometry, converse and contrapositive work 3. If the converse is true, then the inverse is true, and vice versa. Inverse, converse and contrapositive worksheet for 9th 11th. Students will be asked to identify the converse or inverse or contrapositive of a given conditional statement.
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