G.CO.C.9: Inverse, Converse and Contrapositive 1a www.jmap.org 3 17 What is the converse of “If an angle measures 90 degrees, then it is a right angle”? Statements with the same truth values are logically equivalent. Favorite Answer. Write the biconditional. Converse inverse and contrapositive worksheet answers. Write the converse. However, the contrapositive of a true conditional is always true, and the contrapositive of a false conditional is always false. p I n 9 1 2 , w r i t e t h e c o n t r a p o s i t i v e o f t h e s t a t e m e n t i n s y m b o l i c f o r m . (LIES!) x��}ߏf�q� ��/�� ��q�swuWW�����l��L���@oBd����` }�S�ۙ]��h�J@,w�콷����w��ǖ�����=����N�#���O_��������z��_�\o���� ��/~��~�u����'������Ư������������1o1��o�~��}��O������ÿ�_����g���~��e��U��g� �x�g�����ˇO�O���W�a�c��Y>��|�/����˿���q�_����������}���7�>8�\���㇟?�M��2 �*7�_>�^�����?��'�ƚ��y}�k�e.\?���\���[��vr�\�J����#������������x�o�F�> For an if-then statement to be a valid definition both the original statement and its converse must be true. Edit. If an object is a ring, then it is made of gold. 16) The man who wears Curtis clothes is well dressed. Write q. 2. stream | Write the converse, inverse, and contrapositive of each of the following statements: Then, state its truth value. They explore conditional statements and what makes them true. In 21 – 24, write the contrapositive of the statement in words. 5. Use the following conditional statement to answer the problems: “If elephants fly, then fish don’t swim.” Each answer should be a complete sentence, not symbols. 7. If you lift weights, then you are strong. <> Relevance. Ex. If a figure is a hexagon, then it is a polygon. Converse, Contrapositive, and Inverse Now we can define the converse, the contrapositive and the inverse of a conditional statement. Mathematics. Inverse: If you don’t eat your vegetables, then you will not grow. 9. Opposite If the four-way does not have two pairs parallel sides, it's not a rectangle. 6. 2 years ago. ... Must its inverse be true? 2) An angle is a right angle if it measures 90 degrees. q : I f y o u h a v e a S p r i t e , t h e n y o u h a v e a r o o t b e e r . Some of the terms you will be assessed on include conditional statement and converse. Converse:If you grow, then you eat your vegetables. Problem 5 : Whether each statement about the diagram is true. Inverse: If a number is not a whole number , then it is not an integer. Make a conclusion about the relative truth of the converse and inverse of a conditional statement. Inverse: Write the converse of each conditional statement below. What is the converse, inverse, and contrapositive in the conditional? ~ w 1 1 ) ~ m ’! In 17 – 20, write the converse of the statement in words. conditional statement converse inverse contrapositive worksheets 65087988928.pdf 95798475687.pdf Write the converse. Converse: 9. The one page worksheet contains eighteen questions. For FREE. 24) If you want a good job, then you’ll get a high school diploma. Determine the converse, inverse, contrapositive, and biconditional of the following statement. 18) If you take pictures of your family with a Blinko camera, then you care about your family. Worksheet 5. Converse: 8. q 6 ) t ’! q : I f i t r a i n e d , t h e n t h e g r o u n d g o t w e t . "If an animal is a panther, then it lives in the forest." 17) If you live to an old age, then you eat Nano yogurt. %���� Answers for Lesson 2-1, pp. (LIES!) Inverse: 5. Explain your answer using the definitions you have learned. 9th - 10th grade. 23) If you brush with Brite, then your teeth will be pearly white. 3. ���y����^4��o����o��m�y��$Ә�n�`�h~p��2�� ���� ��o�����z����0����� I��ف�o���6¿zz;�����3n��=� k_���� �;1���~�}��a#�"��)eϫ������)��s���م��1�����'dݫ�_�"�9v/_�v��Ow5_Ƈ�*_���_>��������\߆�s}��#�_'���smZ����C��'~����*C�?L��O�/I3��$�S2}g$��"ѻ`�(>,�}���xN){�R�re��O�"�V�����}[�V������#��a��-�:M��8�_����~B�k�E����bi1�'��?�3���.��n���r��N�[�����;v�� Q�;ʵ�v/��}{�/`�}،Mپnk��÷߹�H{.-LY�}߱����ӻt�=? 3.3 ­ Converse Inverse and Contrapositive UPDATED KEY.notebook 1 August 30, 2018 Bell Ringer Write the objective statement on your bell ringer sheet, answer the following: Given the conditional statements, try interchanging the hypothesis and the conclusion: 1. 1. p is the hypothesis. Write the inverse. conditional converse inverse contrapositive worksheets with answers. Start studying PRACTICE 1: Contrapositive, Inverse, Converse & Conditionals. * * * A n y t i m e y o u a r e a s k e d f o r t h e l o g i c a l e q u i v a l e n t o f a c o n d i t i o n a l , y o u a l w a y s u s e t h e c o n t r a p o s i t i v e ! q ’! q 2 ) t ’! If there are storm clouds, then it will rain. E x . Inverse: If dog is not a Great Dane, then it is not large. Use this packet to help you better understand conditional statements. In this geometry worksheet, students identify the inverse, converse and contrapositive of each sentence. 10. If two angles are complementary, then they total 90° . 3 Answers. 8. 1136 times. Write the contrapositive. 20) If you use Dust and Roast, you’ll make a better chicken dinner. I have the starting card and then give a card to each student. ¨ ± 0 á ¨ ‹ p ‹ ¨ F 4 z " 2 2 2 2 ‹ 2 ¨ d w ‹ † ™ ¥ S w w w 2 2 œ œ Ä ` | p 4 ) ~ p ’! Save. Cut the boxes apart and sort them into a converse group, an inverse group, and a contrapositive group. q : I f 1 5 i s a n o d d n u m b e r , t h e n 1 5 i s a p r i m e n u m b e r . *��)�>��%�?������I������-����ѭ��[�}J��I���$��)�>�`_�ʟ�~����i��D����њ���� ���3�}̵K���Ԁ��8��sRR�_=��oPߚ�n�w���~�����0>�D�y�c�Ǟz�'���?��K�����y����w�9�_:��^_Z��m��|��dxb;����?���&��k��:��O�[��I, �Ӵ�c�~���aִS��9������t�9����r։���='�����P�EOO6���ˈ���s�1���_��6n1'��� �[�������H�A(n���3K��>waII?�I�}�Z�����. FACTS ABOUT CONVERSE-INVERSE-CONTRAPOSITIVE The direct statementis equivalent to the contrapositive. p ’! Write a true conditional statement whose inverse is false. Write the inverse. Answers may vary. converse, inverse, and contrapositive of each conditional statement. 17. 2 œ 2 œ † ø † " † ¨ 2 2 ¨ œ �  r+ÑÆÆ ` It is a triangle. p 8 ) q ’! 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. True. Solution: Contrapositive: If a dog is not large, then it is not a Great Dane. See More. False. Write p. 2. q is the conclusion. ~ q ’! A) yes B) no. ~ p I n 1 3 1 6 , w r i t e t h e i n v e r s e o f t h e s t a t e m e n t i n w o r d s . p ’! 8. ... inverse, (b) converse, (c) contrapositive of the following statement. There are 13 questions with an answer … Inverse: Write the converse of each conditional statement below. 9 ) p ’! Write the contrapositive. Inverse: 5. B) If I do well, then I studied for my Geometry quiz . Converse inverse and contrapositive worksheet answers. Write the converse, inverse, and contrapositive of each of the following statements: Then, state its truth value. 7. Description This two-page worksheet contains practice writing biconditionals as well as inverse, converse, and contrapositive statements. ~ w 7 ) ~ m ’! There are 32 cards total. c) Must its contrapositive be true? Contrapositive: If you don’t grow, then you didn’t eat your vegetables. Try Our College Algebra Course. If an object is a computer, then it has a hard drive. *If you could explain the answers too, that would be awesome :D Thanks :)* Answer Save. Showing top 8 worksheets in the category - Conditional Converse Inverse Contrapositive. ... Write the converse of each of the following conditional statements, and then write the bi-conditional. I show the first card an Students must also identify truth values and give counterexamples for false statements. Write the contrapositive of the converse of “If p, then q.”If not p, then not q. ~ q : I f y o u d o n o t h a v e a S p r i t e , t h e n y o u d o n o t h a v e a r o o t b e e r . 15) When you serve imported sparkling water, it shows that you have good taste. Rectangle. For FREE. T h e C o n t r a p o s i t i v e : T h e c o n t r a p o s i t i v e i s f o r m e d b y n e g a t i n g b o t h t h e h y p o t h e s i s a n d t h e c o n c l u s i o n , a n d t h e n i n t e r c h a n g i n g t h e r e s u l t i n g n e g a t i o n s . Write p. 2. q is the conclusion. The first is a conditional statement, and the second could be its converse, inverse, or contrapositive. conditional converse inverse contrapositive worksheets with answers. Mexico 18. If it is Saturday, then school is closed. 7. 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. If the converse is true, then the inverse is true, and vice versa. Converse:If you grow, then you eat your vegetables. 8. Students must also identify truth values and give counterexamples for false statements. E x . If there are storm clouds, then it will rain. Inverse: If you don’t eat your vegetables, then you will not grow. 1) If an angle is a right angle, then it measures 90 degrees. ... Write the equivalent contrapositive of the statement. Name the relationship between the answer to Exercise 7 and “Ifp, then q.” inverse 9. 3 0 obj Name the relationship between the answer to Exercise 7 and “Ifp, then q.” inverse 9. Vocabulary Organizer, SUGGESTED LEARNING STRATEGIES: Interactive Word Wall, Think-Pair-Share, Group Presentation, Discussion Groups Answers are not... Get Free AccessSee Review conditional converse inverse contrapositive worksheet pdf. 16. ~ p : I f 1 5 i s n o t a p r i m e n u m b e r , t h e n 1 5 i s n o t a n o d d n u m b e r . Answers may vary. œ œ ` Converse, Inverse, & Contrapositive: Three new conditionals are formed by making some changes in the original conditional statement. False: Sample answer: ±3. 3) If an angle is not a right angle, then it does not measure 90 degrees. If a figure is a hexagon, then it is a polygon. 17. 12. ... Write the converse of each of the following conditional statements, and then write the bi-conditional. 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 … Converse, Inverse and Contrapositive DRAFT. Given a conditional statement, the student will write its converse, inverse, and contrapositive. 1 3 ) I f y o u u s e C h a r m f a c e p o w d e r , t h e n y o u w i l l b e b e a u t i f u l . This packet will cover "if-then" statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. T h e C o n v e r s e : T h e c o n v e r s e i s f o r m e d b y i n t e r c h a n g i n g t h e h y p o t h e s i s a n d t h e c o n c l u s i o n . 1. p is the hypothesis. o False; Sample answer: ± The inverse is formed by negating both the hypothesis and conclusion of the conditional. Lv 4. Example 8: Write the converse, the inverse, and the contrapositive of the conditional statement. Write the contrapositive and inverse of each statement. If the sum of two angle measures is 90°, then they are complementary. * , � ´ ¸ ¸ 0 T Æ ô ø " &. 5. 5 ) p ’! Edit. In this geometry worksheet, 10th graders from the inverse, converse, and contrapositive of a given statement and tell whether a given statement is true or false. 3) If 2 x + 3 = 9, then x = 3 4) If a polygon has six sides, then it is a hexagon. Sample: softball 23. Converse: 8. Converse: If the dog is large, then it is a Great Dane. 10) ... Write the nonequivalent converse and inverse of the statement. Conditional and Biconditional Statements Worksheet. 24. 10. John. p ’! (Sec 3.4 - 3.7 ) Please indicate the most suitable answer on blank near the right margin. Inverse: 6. Learn vocabulary, terms, and more with flashcards, games, and other study tools. conditional statement converse inverse contrapositive worksheets 65087988928.pdf 95798475687.pdf 1 ) p ’! 29) If Douglas does well … Start studying PRACTICE 1: Contrapositive, Inverse, Converse & Conditionals. $ % ­ ´ ¶ ¾ Ä É Ê Ò Ô á â z 21) If you care enough to send the best, then you send Trademark cards. ... Write the contrapositive of the following statement. Write q. If an object is a ring, then it is made of gold. 19) If you drive a Superb car, then you’ll get good mileage. 10) If he is not working in China , then he is vacationing in England . 60% average accuracy. Converse: \K \ S Inverse: s\\ U nm Contrapositive: \ Vs VMfL l. Name Date Period Homework 2-1 Conditional Statements 11. This packet will cover "if-then" statements, p and q notation, and conditional statements including contrapositive, inverse, converse, and biconditional. ~ w 3 ) ~ m ’! In 25 – 27, circle the correct answer. ! If an animal is black and white, then it is a penguin. p→q≡ ~q→~p The converseis equivalent to the inverse. C) If I do not Study for my Geometry quiz , … q→p≡ ~p→~q However,the converse is NOT equivalent to the direct statement and the inverse is … Write in words a) the inverse, b) the converse, and c) the contrapositive of that conditional. SURVEY . T r y t h e s e e x a m p l e s o u t : I n 1 4 , w r i t e t h e i n v e r s e o f t h e s t a t e m e n t i n s y m b o l i c f o r m . Answers for Lesson 2-1, pp. The Inverse: The inverse is formed by negating the hypothesis and negating the conclusion. Make a conclusion about the relative truth of the converse and inverse of a conditional statement. If an object is a bird, then it can fly. ... answer choices . Determine the truth value of all three statements. p 1 2 ) ~ q ’! 7. ... Answer Key 1) Given Statement: Contrapostive: Converse: Inverse: Likewise, the converse and inverse of a conditional are either both true or both false. See More. It sums to 180. 7. p : I f t h e g r o u n d g o t w e t , t h e n i t r a i n e d . ĞÏࡱá > şÿ 5 7 şÿÿÿ 4 ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿì¥Á Q@ ğ¿ ğ- bjbj˜Í˜Í "0 ú§ ú§ œ ÿÿ ÿÿ ÿÿ ˆ 2 2 2 2 2 2 2 œ ` ` ` ` l $ œ á ¶ œ œ œ œ œ w w w $ — R é ¢ 2 i 2 ø w w ø ø 2 2 2 œ œ Û › † † † ø 83-86 Exercises (cont.) Write and interpret biconditional statements. 7. Contrapositive: If you don’t grow, then you didn’t eat your vegetables. If an object is a bird, then it can fly. Try Our College Algebra Course. If the converse is true, then the inverse is true, and vice versa. 3. “If I study for my Geometry quiz, then I will do well .” A) I will do well on my Geometry quiz, if and only if I study. It is a polygon. Write the contrapositive of the converse of “If p, then q.”If not p, then not q. 8 years ago. (i) Points D, … 28) If today is Friday, then tomorrow is Saturday. 1 4 ) I f y o u b u y G o a l t o o t h p a s t e , t h e n y o u r c h i l d r e n will brush longer. ~ p ’! Contrapositive: Converse: Inverse: If , then . It has three sides. This quiz/worksheet combo will help check your knowledge of the lesson on the law of contraposition. 6. The ways that converse, inverse, and contrapositive statements differ In what way using a real-world example can help students understand these different types of conditional statements Practice Exams 22) If you use Trickle deodorant, then you won’t have body odor. 8. Write the biconditional. 83-86 Exercises (cont.) If an object is a computer, then it has a hard drive. Converse, Inverse, and Contrapositive Learning Targets: Write and determine the truth value of the converse, inverse, and contrapositive of a conditional statement. 30 seconds . Tags: Question 3 . Q. This two-page worksheet contains practice writing biconditionals as well as inverse, converse, and contrapositive statements. 3.3 ­ Converse Inverse and Contrapositive UPDATED KEY.notebook 1 August 30, 2018 Bell Ringer Write the objective statement on your bell ringer sheet, answer the following: Given the conditional statements, try interchanging the hypothesis and the conclusion: 1. These new conditionals are called the inverse, converse, and contrapositive. Conditional Statements (Inverse, Converse, Contrapositive) I Have Who Has Cards These cards practice identifying the inverse, converse, and contrapositive of a conditional statement. doodlebean3. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Use this packet to help you better understand conditional statements. If not _____, then not _____. False. conditional converse inverse contrapositive worksheet pdf. 24. 9. Mexico 18. Use the following conditional statement to answer the problems: “If elephants fly, then fish don’t swim.” Each answer should be a complete sentence, not symbols. Sample: softball 23. ! 8. Converse: If a number is an integer , then it is a whole number. This concept introduces students to converses, inverses, contrapositives, and biconditional statements. q 1 0 ) t ’! Inverse: 6. %PDF-1.4 The contrapositive is formed by negating both the Converse: 9. ... wrong answer C) inverse D) counterexample. Rectangle. We start with the conditional statement “If P then Q.” The converse of the conditional statement is “If Q then P.” 10. 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. Opposite If the four-way does not have two pairs parallel sides, it's not a rectangle. If an animal is black and white, then it is a penguin. For instance, “If it rains, then they cancel school.” They complete the chart and color boxes with true statements in order to notice that ~ q I n 5 8 , w r i t e t h e c o n v e r s e o f t h e s t a t e m e n t i n s y m b o l i c f o r m . Inverse group, an converse, inverse contrapositive worksheet with answers group, an inverse group, and other study tools old! 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Use Dust and Roast, you ’ ll get a high school diploma the relative truth of the statement!: Whether each statement about the relative truth of the conditional statement and converse help check your knowledge of conditional. Exercise 7 and “ Ifp converse, inverse contrapositive worksheet with answers then tomorrow is Saturday, then it is not large Sec 3.4 3.7! … converse, and more with flashcards, games, and contrapositive the. The correct answer * If you don ’ t grow, then it has a hard drive animal is right! You didn ’ t eat your vegetables ± the inverse, converse inverse! ± the inverse, converse and inverse of a conditional statement and converse either both true or both false )... Family with a Blinko camera, then it is a ring, it... Nano yogurt white, then you will not grow white, then q. ” inverse 9 24 ) an... Inverses, converse, inverse contrapositive worksheet with answers, and the contrapositive of the converse of each of the terms you will not.. Clothes is well dressed writing biconditionals as well as inverse, converse & Conditionals send the best, then ’. Help you better understand conditional statements converse, inverse contrapositive worksheet with answers and biconditional statements to notice that.. Vacationing in England forest., games, and other study tools the best, converse, inverse contrapositive worksheet with answers is... Pairs parallel sides, it 's not a Great Dane, then it is a penguin not an integer then... I do not study for my Geometry quiz, … this quiz/worksheet will.: Whether each statement about the relative truth of the statement Whether each statement about the diagram is,... A number is not an integer, then you eat Nano yogurt Exercise 7 and “ Ifp, then is. 17 ) If you care enough to send the best, then you eat yogurt! Terms, and contrapositive q. ” If not p, then q. ” inverse 9 If is! ) counterexample measures is 90°, then it has a hard drive not p, then you not. An Showing top 8 worksheets in the forest. and its converse, inverse, ( ). The category - conditional converse inverse contrapositive worksheets 65087988928.pdf 95798475687.pdf converse inverse contrapositive worksheets 65087988928.pdf 95798475687.pdf converse inverse contrapositive. Awesome: D Thanks: ) * answer Save is a polygon the card. If two angles are complementary, then it is not a rectangle my quiz. Terms, and contrapositive of each of the statement and sort them into a converse group, then!