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1、Unit Two TestChoose:(20)I.What would be the next two number in the following set?5, 7, 9, 11().D)13, 15A)10, 12B)13, 14C)12, 132.What shape and how many of this shape will be next in the pattern below?( ).A)1 CircleB)3 CirclesC)1 TriangleD)3 Triangles3.Identify the if-then form of the given statemen

2、t.A regular polygon has all its sides equal.( )A)If a polygon is regular, then it has all its sides equal.B)A polygon is regular, if it has all its sides equal.C)A regular polygon has all its sides equal.D)If a polygon has all its sides equal, then it is regular.4.Which of the following connectors i

3、s the logical disjunction?( ).A)ORB)ANDC)BUTD)Both5.Which of the following is a counterexample of the conjecture below?Conjecture: The product of two positive numbers is always greater than either number().A)2,21b)2,2C)3,10D)2,-1B)/ CFE is supplementary.1.1 f / CFE is an obtuse angle,what is true.(

4、).A) / CFE is greater than 90 degrees and less than 180 degrees.C)Z CFE is less than 90 degrees.D)Z CFE can not be 110 degrees.7 .What s a conjecture?( ).A) a guessB) unproven statement based on observationsC) switching the hypothesis and conclusionD)a false statement8 .A specific case of when a con

5、jecture is false is called a(n)?()A)CounterexampleB)InverseC)Wrong answerD)Negation9 .write the converse of the statement in symbolic form.( )A) p 一 qB) t 一 wC) m 一 pD) q 一 p10 .write the contrapositive of the statement in symbolic form.( )B) tD) qFor the following problems, Find the hypothesis and

6、conclusion in each conditional statement.(8 )1. If today is Monday, then tomorrow is Tuesday.Hypothesis:; Conclusion:.2. If a truck weighs 2 tons, then it weighs 4000 pounds.Hypothesis:; Conclusion:3. All chimpanzees love bananas.Hypothesis:; Conclusion:4. Collinear points lie on the same line.Hypot

7、hesis:; Conclusion:Determine if each statement is true or false. If false, provide a counterexample. (4)1、 If an animal can swim, then it is a fish.2、If two angles are congruent, then they are right angles.Write the contrapositive of the statement in words. (6)1) If you care enough to send the best,

8、 then you send Trademark cards.2) If you use Trickle deodorant, then you won t have body odor.Supply the word,phrase or symbol that can be placed in each blank to make the resulting statement true.(6(1)When p is true and q is false ,then pAq is.(2)When p ?q is false , then p is and q is.(3)If the co

9、nclusion q is true ,then p f q must be.Use the following to answer questions 1-5:(10 )p: I love Geometryq:Mrs. Davis is a great teacherr: Mr. Tucker likes Algebras:Algebra stinksWrite the symbolic representation. J1、If I love geometry, then algebra stinks2、 If Mrs. Davis is a great teacher or Mr. Tu

10、cker does not like Algebra, then I love Geometry.3、Algebra stinks if I love Geometry and Mrs. Davis is not a great teacher if Mr. Tucker likes Algebra.Write the words for each.4、p r5、 (s r) qWrite the inverse of the statement in words.(6 )1) If you buy Goal toothpaste, then your children will brush

11、longer.2) When you serve imported sparkling water, it shows that you have good taste.3) The man who wears Curtis clothes is well dressed.Inductive or Deductive Reasoning(6 )1、Marcus learns in Social Studies that a presidential election happens every four years. He knows that the last presidential el

12、ection was in 2004, so he concludes that the next presidential election will be in 2008.2、The United States Census Bureau collects data on the earnings of American citizens. Using data for the three years from 2001 to 2003, the bureau concluded that the national average median income for a four-pers

13、on family was $43,527.3、 Every cross country practice begins with a warm-up jog and stretching. Practice is about to start and the team assumes they will jog 2 warmup laps and stretch before their workout starts.Extra Questions(15 )Point O is the center of the regular octagon ABCDEFGH , and X is the midpoint of the side AB What fra

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