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This statement is false. Converse: If two lines are perpendicular, then they intersect to form a right angle. Ex 4 Write a Biconditional Statement Write the definition of perpendicular lines as a biconditional. Mary is in the theater class if and only if she will be in the fall play. 2 2 practice conditional statements answer key. 13 is a counterexample. To show that a conditional statement is true, you must prove that the conclusion is true every time the hypothesis is true. 2 2 practice conditional statements answer key examples. Write the converse, the inverse, and the contrapositive of the conditional statement.
If a number is not an odd natural number less than 8, then the number is not prime. The right angle symbol in the diagram indicates that the lines intersect to form a right angle. 2 2 practice conditional statements answer key 2018. To show that a conditional statement is false, you need to give only one counterexample. Negation 1 The ball is not gation 2 The cat is black. Converse: If the dog is large, then it is a Great Dane, False Inverse: If dog is not a Great Dane, then it is not large, False Contrapositive: If a dog is not large, then it is not a Great Dane, True 3.
Ex 1 Rewrite a Statement in if-then Form If an animal is a bird, then it has feathers. So you can say the lines are perpendicular. Notice that statement 2 is already negative, so its negation is positive. Verifying Statements Conditional statements can be true or false. Explain your answer using the definitions you have learned. 2 2 practice conditional statements answer key grade 8. All 90 ° angles are right the measure of an angle is 90 °, then it is a right angle b.
To write the contrapositive, first write the converse and then negate both the hypothesis and the conclusion. If a number is not prime, then it is not an odd natural number less than 8. Here is an example: If it is raining, then there are clouds in the sky. When a conditional statement is written in if-then form, the "if" part contains the hypothesis and the "then" part contains the conclusion. False, even if you don't play a guitar, you can still be a musician. 2-2 Analyze Conditional Statements Hubarth Geometry.
True, a person who is not a musician cannot be a guitar player. True, guitars players are musicians. Definition: If two lines intersect to form a right angle, then they are perpendicular. Biconditional Statement is a statement that contains the phrase "if and only if". Negation The negation of a statement is the opposite of the original statement. Fill & Sign Online, Print, Email, Fax, or Download. The contrapositive both swaps and negates the hypothesis and conclusion. 21A NAME CLASS DATE PRACTICE WORKSHEET Conditional Statements 11B NAME CLASS DATE PRACTICE WORKSHEET Conditional Statements Write the converse and decide whether the converse is true or false.
A conditional statement is a logical statement that has two parts, a hypothesis and a conclusion. Biconditional: Two lines are perpendicular if and only if they intersect to form a right angle. AC BD b. AEB and CEB are a linear pair. If Mary is in the fall play, she must be taking theater class. Point E does not lie on the same line as A and B, so the rays are not opposite rays. 2 1a practice worksheet conditional statements. Statement 1 The ball is atement 2 The cat is not black. Write the if-then form, the converse, the inverse, and the contrapositive of the conditional statement "Guitar players are musicians. " Both true both false. If two angles are a linear pair, then they are supplementary. False, not all musicians play the guitar.
Сomplete the 2 1a practice worksheet for free. Related Conditionals To write a converse of a conditional statement, exchange the hypothesis and conclusion. Tell whether each statement is true or false. Conditional - true converse - false inverse - false contrapositive - true. You can write "lines t is perpendicular to line m" as t m. Ex 3 Use Definition Decide whether each statement about the diagram is true. Ex 2 Write Four Related Conditional Statements If-then form: If you are a guitar player, then you are a musician. Rewrite the conditional statement in if-then form. There is no counterexample. Contrapositive: If you are not a musician, then you are not a guitar player. Decide whether each statement is true. Because EA and EC are opposite rays, AEB and CEB are a linear pair. C. EA and EB are opposite rays. JMF and FMG are supplementary. To write an inverse of a conditional statement, negate both the hypothesis and the conclusion.
The inverse negates the hypothesis and the conclusion. 2x + 7 = 1, because x = –3If x = –3, then 2x + 7 = 1 If a dog is a Great Dane, then it is large 2. Use the diagram shown. Inverse: If you are not a guitar player, then you are not a musician. Equivalent Statement is when a pair of statements are both true or both false.