A biconditional statement can be written when a conditional statement and its converse. For each statement below, write a the converse, b the inverse, and c the contrapositive. Write the converse, the inverse, and the contrapositive of the conditional statement. If an animal is black and white, then it is a penguin. We explain converse, inverse, and contrapositive of an ifthen statement with video tutorials and quizzes, using our many waystm approach from multiple teachers. Before we define the converse, contrapositive, and inverse of a conditional statement, we need to examine the topic of negation. It is very important to realize that these two implications are not logically equivalent. The logical converse and inverse of the same conditional statement are logically equivalent to each other. Improve your math knowledge with free questions in converses, inverses, and contrapositives and thousands of other math skills. Define converse, inverse, contrapositive, and biconditional statement. See how the converse, contrapositive, and inverse are obtained from a conditional statement by changing the order of statements and using. If jennifer is not alive, then jennifer does not eat food. Here you will examine the implications of the inverse, converse and contrapositive.
Find the converse, inverse, and contrapositive of conditional. Converses, contrapositives and proof by the contrapositive the converse of the implication p q is the reverse implication q p. Converse inverse contrapositive worksheets printable. For instance, if it rains, then they cancel school. This will include a identifying the converse, inverse, and contrapositive of a conditional statement. Write a inverse, b converse, c contrapositive of the following statement. Lets compare the converse and inverse statements to see if we can make any judgments about them. What are the differences between inverse, converse, and.
Showing top 8 worksheets in the category conditional converse inverse contrapositive. Given the conditional statements, try interchanging the hypothesis and the conclusion. Worksheets are unit 4 logic packet, logic and conditional statements, lesson practice a conditional statements, conditional statements, geometry, geometry, converse and contrapositive work 3. If you eat all of your vegetables, then you will grow. 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. You can write the converse, inverse, and contrapositive of a conditional. If you do not go to class, then you get a detention. Geometry lesson 10 v2 converse, inverse, contra positive and. Converse, inverse, and contrapositive find the converse, inverse, and contrapositive. A multiple choice quiz relating to conditional statements their various forms.
This packet will cover ifthen statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. Converse inverse contrapositive worksheets teacher. A conditional statement is logically equivalent to its contrapositive. If a conditional is true then the contrapositive is true. Ixl converses, inverses, and contrapositives geometry. Statements with the same truth values are 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. If get a nice tan, then you when to florida for spring break. Converse inverse contrapositive teacher worksheets. Write the contrapositive and inverse of each statement. Conditional, contrapositive, inverse, converse, and. Geometry lesson 10 v2 converse, inverse, contra positive and biconditional free download as pdf file. Likewise, the converse and inverse of a conditional are either both true or both false. Showing top 8 worksheets in the category converse inverse contrapositive. Types of statements converse, inverse, contrapositive 1. If two segments are congruent, then they have the same length. If a conditional is false then the converse is false.
If necessary, rewrite the conditional statement in ifthen form. Secondary i conditional statements worksheet name write the. Converse, inverse, and contrapositive of an ifthen. Jacob wigfields answer is quite right and his example is very helpful. Write a conditional statement on the board and under it, write the converse, inverse, and. If the figure is a parallelogram, then the figure is a quadrilateral. Use the law of detachment to reach a logical conclusion about the following statement. Inverse, converse, and contrapositive ck12 foundation. Write the converse of each statementand decide whether the converse is true or false. Learn vocabulary, terms, and more with flashcards, games, and other. Give students page to read the definitions of converse, inverse, and contrapositive statements. Contrapositive, converse, inversewords that made you tremble in high school geometry. I only offer a bit of clarification and some precision.
Converse, inverse, and contrapositive statements this activity. Converse, inverse, and contrapositive type of statement words symbols conditional ifthen form p q converse exchange the hypothesis and conclusion q p inverse negating the hypothesis and conclusion p q contrapositive negating the converse of the conditional q p ma. Grieser page 3 write the conditional ifthen form, converse, inverse, and contrapositive forms of the following statements. If water is frozen, then its temperature is below 0c. In this geometry worksheet, students identify the inverse, converse and contrapositive of each sentence. Again in symbols, the contrapositive of p q is the statement not q not p, or q p. Conditional converse inverse contrapositive worksheets. Write a true conditional statement whose inverse is false. This lesson will present how to determine if a newly written statement is the converse, inverse, or contrapositive of an ifthen statement. Converse, inverse, contrapositive given an ifthen statement if p, then q, we can create three related statements. Contrapositive, inverse, converse, conditional, and biconditional.
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional. The concepts of inverse, converse, and contrapositive refer specifically to forms of conditional assertions or proposit. If go to florida for spring break, then you will get a nice tan. Converse inverse contrapositive printable worksheets. Using logical reasoning from prentice hall geometry book, 4. Create additional stanzas using related if, then statements. Example 15 write the inverse, converse, and contrapositive of the conditional statement. 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. Every true statement will have at least one counterexample.
Logical and conditional statements virginia department of. Asked in calculus, definitions, geometry what is converse inverse and contrapositive. Worksheet geometry inverses, contrapositives, and indirect reasoning worksheet. Learn vocabulary, terms, and more with flashcards, games, and other study tools. This lesson will help you with ideas for teaching these statements and their alternate forms. 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.
Conditional statements converse, inverse, contrapositive. The contrapositive okay, enough with the warmup, now its time to get really weird. Converse, inverse, and contrapositive ck12 foundation. Jul 18, 2015 this twopage worksheet contains practice writing biconditionals as well as inverse, converse, and contrapositive statements. Students must also identify truth values and give counterexamples for false statements. Use this packet to help you better understand conditional statements. Write the converse, inverse, and contrapositive of the conditional statement. Logic and proof converse, inverse, and contrapositive. A logical statement that has two parts, a hypothesis and a conclusion. Write the converse, inverse, and contrapositive of each conditional statement and decide if each statement is true of false. Converse, inverse, contrapositive, conditional statements and. Converse, inverse, and contrapositive of an ifthen statement. In classical logic, an implication is logically equivalent to its contrapositive, and, moreover, its inverse is logically equivalent to its converse.
The negation of a statement simply involves the insertion of the word not at the proper part of the statement. This lesson targets the converse, inverse, contrapositive of a conditional and then introduces biconditionals in the study of logic. If two points are on the same line, then they are collinear. First, change the statement into an ifthen statement. Converse, inverse, and contrapositive statements this activity should be done after you have discussed conditional statements. A conditional statement consists of two parts, a hypothesis in the if clause and a conclusion in the then clause.
Converses, contrapositives and proof by the contrapositive. The contrapositive of a conditional statement of the form p. Displaying all worksheets related to conditional converse inverse contrapositive. If a dog is not large, then it is not a great dane. Write in words a the inverse, b the converse, and c the contrapositive of that conditional. The inverse, converse and contrapositive are each related to the. Displaying all worksheets related to converse inverse contrapositive. For each exercise below, a write the converse, b determine the truth value of the statement. For any conditional statement there are several other similarsounding conditional statements. If the converse is true, combine it with the original statement to form a true biconditional statement. Types of statements converse, inverse, contrapositive.
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. Given an ifthen statement if p, then q, we can create three related statements. If you didnt pass the test, then you didnt study for the test. Lewis carroll, the author of alices adventures in wonderland and through. Oct 09, 2016 conditional statements converse, inverse, contrapositive. Variations on the conditional statement direct statement converse inverse contrapositive if p, then q. They explore conditional statements and what makes them true. However, the contrapositive of a true conditional is always true, and the contrapositive of a false conditional is always false. Unit 4 logic packet humble independent school district. What are the converse, contrapositive, and inverse. Determine if each resulting statement is true or false. Write the converse of each conditional statement below. Moveable gray and white boxes reveal key information.
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