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Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200.

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Presentation on theme: "Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200."— Presentation transcript:

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2 Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200 400 100 Trivia 500 300 200 400 100 Proving Angles Congruent 500 300 200 400 100 Algebraic Reasoning 500 300 200 400

3 Prop., Post. Thrms - 100 Answer: Distributive Prop of Equality NEXT QUESTION Why Does 3(x+6) = 3x + 18

4 Prop., Post., Thrms - 200 Answer: Transitive Prop. of equality NEXT QUESTION If BY = XD, XD = ZC, Why does BY = ZC?

5 Prop., Post., Thrms - 300 Answer: Sometimes NEXT QUESTION Answer Always, Sometimes, Never: Vertical Angles are Supplementary

6 Prop., Post., Thrms - 400 Answer: Always NEXT QUESTION Answer Always, Sometimes, Never: Every Obtuse Angle has a supplement

7 Prop., Post., Thrms - 500 Answer: Sometimes NEXT QUESTION Answer Always, Sometimes, Never: Adjacent Angles form a Linear Pair

8 Bicondtionals and Conditionals - 100 Answer: H: Two lines intersect at right angles C: The Two lines are perpendicular NEXT QUESTION Identify the Hypothesis and Conclusion: If two lines intersect at right angles, then the two lines are perpendicular

9 Bicondtionals and Conditionals - 200 Answer: If you exercise, then you are in good shape. If you are in good shape, then you exercise. NEXT QUESTION Write the Conditional and Converse: Exercising keeps you in good shape!

10 Bicondtionals and Conditionals - 300 Answer: If two lines are perpendicular, then they intersect to form four right angles. If lines intersect to form four right angles, then they are perpendicular NEXT QUESTION What two conditions make up this biconditional: Two lines are perpendicular if and only if they intersect to form four right angles

11 Bicondtionals and Conditionals - 400 Answer: If x 2 = 9, then x=3 False; -3 NEXT QUESTION Write the Converse. If the converse is True: Write the Biconditional If False: Give a Counterexample If x=3, then x^2=9

12 Bicondtionals and Conditionals - 500 Answer: Bill Foldes lives in Springfield, Massachusetts NEXT QUESTION Give a counterexample for the following: If you live in Springfield, then you live in Illinois

13 Deductive Reasoning - 100 Answer: Bears practice is cancelled on Monday NEXT QUESTION Use the law of detachment to draw a conclusion If a team wins on Sunday, then practice is cancelled Monday. The Bears won Sunday

14 Deductive Reasoning - 200 Answer: Angle A and Angle B are complementary NEXT QUESTION Use the law of detachment to draw a conclusion: If the measure of two angles is 90 degrees, then they are Complementary m<A + m<B = 90

15 Deductive Reasoning - 300 Answer: If you study, then you are Happy! NEXT QUESTION Use the Law of Syllogism to draw a conclusion: If you study, then you will get an A. If you get an A, then you are Happy!

16 Deductive Reasoning - 400 Answer If two lines are not parallel, then they intersect at a point. NEXT QUESTION Use the law of Syllogism to draw a conclusion: If two lines are not parallel, then they intersect. If two lines intersect, then they intersect at a point.

17 Deductive Reasoning - 500 Answer: NO conclusion NEXT QUESTION If a dog eats Doggie Delights, then it is a happy dog. Fido is a happy dog.

18 Algebraic Reasoning - 100 Answer: Addition Property of equality Division Property of equality NEXT QUESTION Justify each step

19 Algebraic Reasoning - 200 Answer: 7x – 8 = 6x + 11 Vertical Angle Thrm. x - 8 = 11 Subtraction Prop. = x = 19 Addition Prop. = NEXT QUESTION The measure of two vertical angles are (7x-8) and (6x+11): Solve for X: Justify Each answer

20 Algebraic Reasoning - 300 Answer: <AOB + <BOC=<AOC Angle + Post. 2x+6(x-3)=150 Substitution 2x+6x-18=150 Distributive 8x-18=150 Simplify 8x=168 Addition Prop. = X=21 Division Prop. = NEXT QUESTION

21 Algebraic Reasoning - 400 Answer: 11x – 6y = -1, x = 8 Given 88 – 6y = -1 Substitution -6y = -89 Subtraction Prop. = y = 89/6Division Prop. = 89/6 = y Symmetric Prop. = NEXT QUESTION Given: 11x - 6y= -1; x = 8 Prove: y = 89/6

22 Algebraic Reasoning - 500 Answer: KM + ML=KL Seg. Addition Post. KM = ML Definition of Bisect 2x+3 + 2x+3=18 Substitution 4x+6=18 Simplify 4x=12 Subtract Prop. = X=3 Division Prop. = NEXT QUESTION Solve for x and justify each step: Segment KL is bisected by point M, KM = 2x +3 KL = 18, find x

23 Proving Angles Congruent - 100 Answer: Congruent NEXT QUESTION If two angles are vertical, then they are what? Draw a pair of vertical angles.

24 Proving Angles Congruent - 200 Answer: <A = <B NEXT QUESTION <A + <B = 180 degrees <C is supplementary to <B What else do we know?

25 Proving Angles Congruent - 300 Answer: x = 30 y = 90 NEXT QUESTION <1 = (y+x) <2= (y-x) <4 = 2x Find x and y

26 Proving Angles Congruent - 400 Answer: <A= 75, <B=15 NEXT QUESTION <A is five times as large as its complement <B, What are angles A and B equal to?

27 Proving Angles Congruent - 500 Answer: Addition Prop of = NEXT QUESTION

28 Trivia - 100 Answer: Cougar NEXT QUESTION What is your school mascot?

29 Trivia - 200 What was your Homecoming Theme? Answer: Circus NEXT QUESTION

30 Trivia - 300 Answer: 34 to 0 NEXT QUESTION What was the score of the Varsity Football Game last week against Antioch?

31 Trivia - 400 Answer: Chicago Cubs NEXT QUESTION What baseball team is Mrs. Chapman rooting for?

32 Trivia - 500 How many years has it been since the Cubs have won the World Series? Answer: 102 years NEXT QUESTION

33 Daily Double

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