Ifthen statements for each exercise below, a rewrite the statement in ifthen form, and b underline the hypothesis once and the conclusion twice. When the statements arent true, you must provide one counter example prooving it false. The c is the part q of a conditional statement following the word then. The statement can be rewritten as the following statement and its converse. Conditional statements i have, who has game by mrs e teaches math. Mark twain wrote, if you tell the truth, you dont have to remember anything. Proving a conditional statement false the easiest way to prove a conditional false is to find a counterexample. Conditional statements i have, who has game by mrs e teaches. 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 if and only if. A conditional statement is false if hypothesis is true and the conclusion is false.
Give students page to read the definitions of converse, inverse, and contrapositive statements. I think this example helps them understand that the meaning of the sentence changes. A conditional statement in math is a statement in the ifthen form. If a figure has three sides, then it is not a triangle. If a polygon is a triangle, then it has three sides. Conditional statements interactive notebook page mrs.
The conditional is defined to be true unless a true hypothesis leads to a false conclusion. Then complete the algebraic proof by choosing the correct responses from the box. Converse, inverse, and contrapositive ck12 foundation. Secondary i conditional statements worksheet name write the. Worksheet given in this section is much useful to the students who would like to practice problems on conditional statements in geometry. Conditional statements geometry unit 1 essentials of geometry page 36 example 4. Logical and conditional statements virginia department of. If the converse is true, write the biconditional statement. If you miss classwork, then you will have to stay for tutoring to make it up. For a conditional statement to be true, the hypothesis and conclusion do not necessarily both have to be true. Select the statement that is logically equivalent to if you pass mgf1106, then a liberal studies math requirement is fulfilled. Because of the importance of conditional statements, we need to be able to recognize when a statement is conditional in form. If a figure is a triangle, then all triangles have three sides.
An ifthen statement is false if an example can be found for which the hypothesis is true and the conclusion is false. Make a conditional statement from a given fact using word tiles. Write the converse, inverse, and contrapositive of the conditional statement if marias birthday is february 29, then she was born in a leap year. The statement is biconditional because it contains the phrase b.
The converse of a conditional statement simpily switches, or flips, the beginning statement. A statement can be altered by negation, that is, by writing the negative of the. Converse statements are made by switching the hypothesis and the conclusion of the statement. I can identify the converse, inverse, and contrapositive of a conditional statement. All students who have an a in math have as in all of their other classes. A rectangle is a square if and only if the adjacent sides are congruent. The example above would be false if it said if you get good grades then you will not get into a good college.
Write each of the following statements as a conditional statement. I have, who has is a fun game that can be used as a warmup or informal assessment. Conditional statements in geometry worksheet problems. Write the converse, inverse, and contrapositive of the conditional statement if marias birthday is february 29, then she was born in a. Conditionals, converses, and biconditionals practice test write this statement as a conditional in ifthen form. Conditional statements foldable teaching geometry, foldables. The example above would be false if it said if you get good grades then you will. No fancy font and smaller size to fit in composition notebooks. Students must also identify truth values and give counterexamples for false 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. If this statement is rewritten as a conditional ifthen statement, it would be. Learn vocabulary, terms, and more with flashcards, games, and other study tools.
For each given statement, write the statement in symbolic form, using the symbols given below and tell whether the statement is true or false. Which statement is a counterexample for the following statement. Converse if you are a narwhal, then your mom is a unicorn and your dad is a whale. If two points lie on the same line, then they are collinear. Apr 30, 20 trifold i made for conditional statement. You can play this game as a class or in small groups by distributing cards to all students.
A conditional statement with a true converse could be if an angle is right, then it is 90 degrees. A conditional statement is a statement that can be written in the form d p, d q. If a triangle has three sides, then all triangles have three sides. The statement p q is a conditional statement which represents if p, then q. Part ii identify the hypothesis and conclusion of each conditional. Determine whether each conditional statement is true or false. This foldable for conditional statements is a great addition to an interactive notebook or just as a stand alone foldable in your students notes. Conditional statement converse inverse contrapositive negation. Improve your math knowledge with free questions in conditionals and thousands of other math skills. Next, the teacher decides on a student to go first. Based on these conditional statements, which statement must also be true. Grieser page 2 conditional statements conditional statements ifthen. Carl studied only 30 minutes and carl passed the test. If this statement is rewritten as a conditional if then statement, it would be.
The following is a truth table for biconditional p q. Identify the if part of the statement and rewrite it as a. This lesson will help you with ideas for teaching these statements and their alternate forms. The conditional is defined to be true unless a true hypothesis. A conditional statement is a logical statement that has two parts, a hypothesis and. Improve your math knowledge with free questions in biconditionals and thousands of other math skills. Math 102 alternate forms of the conditional and logical arguments. A determine the validity of a conditional statement, its converse. The a is the part p of a conditional statement following the word if. A conditional statement is a statement that expresses a causeandeffect relationship. If carl studies at least two hours for the test, then carl will pass. If an angle measures less than 90, then it is an acute angle.
Truth values of conditionals determine the truth value of each conditional statement. Conditional statement childrens book by ricquel brager on prezi. This type of example coun erexamp e 2, this is a false conditional statement. Converse, inverse, and contrapositive statements this activity.
Hypothesis your mom is a unicorn and your dad is a whale. Jul 18, 2015 this twopage worksheet contains practice writing biconditionals as well as inverse, converse, and contrapositive statements. Conditional statements interactive foldable by mrs e teaches math. The biconditional operator is denoted by a doubleheaded arrow. Some of them want to have the statement say not not, because they just want to follow a rule. Conditional statement statement that can be written in if, then form hypothesis part of a conditional statement that follows if conclusion part of a conditional statement that follows then negation denial of a statement formed by adding or removing the word not from a statement negate. Conditional statements within a method, we can alter the flow of control the order in which statements are executed using either conditionals or loops. Conditional statements, often called conditionals for short, are used extensively in a form of logic called deductive reasoning. Rewrite the following conditional statements in ifthen form.
Write the converse, inverse, and contrapositive of each conditional statement and decide. High school all geometry courses learning opportunities. Rewrite the statement below as a conditional statement, and then state the hypothesis and conclusion. Geometry honors conditional statements worksheet a. Conditional statements geometry unit 1 essentials of geometry page 34 example 2. Write the two conditional statements associated with the biconditional statement below. Chapter 2, section 1 conditional statement also know as an ifthen statement. The conditional statements if, ifelse, and switch allow us to choose which statement will be executed next. Conditional statement if your mom is a unicorn and your dad is a whale, then you are a narwhal. Conditionals, converses, and biconditionals practice test 2.
Note that some students may have more than one card. A biconditional statement is defined to be true whenever both parts have the same truth value. I can identify the parts of a conditional statement and write a converse statement. Logic with conditional statements, converse, inverse. Find the converse, inverse, and contrapositive of conditional statements. The logical connector in a conditional statement is denoted by the symbol. Grieser page 3 write the conditional ifthen form, converse, inverse, and contrapositive forms of the following statements. The converse of a conditional statement is formed by switching the hypothesis and conclusion. Conditional statements page 2 of 4 if an angle is an obtuse angle then it has a measure greater than 90. A conditional statement can be written in ifthen form, but it does not have to be. I think this really makes the students think about what negation means. State the hypothesis and conclusion of the conditional statement below.
A conditional statement, symbolized by p q, is an ifthen statement in which p is a hypothesis and q is a conclusion. If two lines intersect at right angles, then the two lines are. Conditional statements in geometry worksheet solution. Then, circle the hypothesis, and underline the conclusion. Holt mcdougal geometry 22 conditional statements lesson quiz. Let m represent may has 31 days true let j represent june has 31 days false. This is called truth value, which is a fancy way of saying weather something is true or false. The biconditional p q represents p if and only if q, where p is a hypothesis and q is a conclusion. Geometry, like much of science and mathematics, was developed partly as a.
This isnt true because not all reptiles are turtles. Two points are collinear if they lie on the same line. Hypotheses followed by a conclusion is called an ifthen statement or a conditional statement. Since both are statements are true, we can go ahead and make our biconditional statements. Notice that the example at the bottom of the page already has not in the statement.