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Jeopardy Proving Conditional Biconditionals Deductive Algebraic Statements And Definitions Reasoning Reasoning 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 Angles Trivia Congruent Conditional Statments 100 Show that the conditional is false by finding a counterexample: If a number is divisible by 3, then it is odd. Answer: 6,12,18..and _ more NEXT QUESTION Conditional Statments 200 Show that the conditional is false by finding a counterexample: If two lines are not parallel, then they intersect Answer: Skew_ Lines NEXT QUESTION Conditional Statments 300 Write the converse statement: If point A is in the first quadrant of a coordinate Grid, then x>0. Answer: If x>0, then point A is in the first quadrant NEXT QUESTION Conditional Statments 400 Write the converse statement, and state if it is true, if false give a counterexample: If you are a twin, then you have a sibling. Answer: If you have a sibling, then you are a twin. FALSE any non twin brother or sister NEXT QUESTION Conditional Statments 500 Write a conditional from the statement Two planes intersect at a line. Answer: If you have two planes, then they intersect at a line NEXT QUESTION Bicondtionals and Definitions - 100 Explain why the definition is not acceptable: Cricket is a game played on a large field with a ball and a bat Answer: Not reversible NEXT QUESTION Bicondtionals and Definitions - 200 What two conditions make up this biconditional: Two lines are perpendicular if and only if they intersect to form four right angles 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 Bicondtionals and Definitions - 300 What are the three important characteristics of a definition? Answer: Understood terms, precise, reversible NEXT QUESTION Bicondtionals and Definitions - 400 When given a conditional, when can you write a biconditional statement? Answer: A biconditional can be written when both the conditional and the converse statements are true NEXT QUESTION Bicondtionals and Definitions - 500 Write the converse, and if it is true write a biconditional statement: If and angle is 90 degrees, then it is a right angle. Answer: If an angle is right, then it is 90 degrees. TRUE An angle is 90 degrees, if and only if it is a right angle NEXT QUESTION Deductive Reasoning 100 Use the law of detachment to draw a conclusion If a team loses on Sunday, then there is practice on Monday. The Bears lost on Sunday Answer: Bears practice on Monday NEXT QUESTION Deductive Reasoning 200 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 Answer: Angle A and Angle B are complementary NEXT QUESTION Deductive Reasoning 300 What is the difference between deductive and inductive reasoning? Answer: Deductive is based on a rule Inductive is based on experimentation NEXT QUESTION Deductive Reasoning 400 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. Answer If two lines are not parallel, then they intersect at a point. NEXT QUESTION Deductive Reasoning 500 Draw a conclusion from the statements: If it is snowing, the temperature is lower than 32 degrees. If the temperature is below 32 degrees it is freezing outside. It was snowing yesterday. Answer: Yesterday it was freezing outside NEXT QUESTION Algebraic Reasoning 100 Use the Addition property of Equality: X – 15 = 22 , Then? Answer: X = 37 NEXT QUESTION Algebraic Reasoning 200 What property proves this statement? If m<G = 35 and m<S = 35, then m<G = m<S Answer: NEXT QUESTION Transitive Property or substitution Algebraic Reasoning 300 Justify each step 7 x 4 10 7 x 14 x2 Answer: Addition Property of equality Division Property of equality NEXT QUESTION Algebraic Reasoning 400 Name the property: If 10x + 6y = 14 and x = 2y, then 10(2y) + 6y = 14 Answer: Substitution NEXT QUESTION Algebraic Reasoning 500 Solve for x and justify each step Segment KL is bisected by point M, KM = 2x +3 KL = 18, find x Answer: X=3 NEXT QUESTION Proving Angles Congruent - 100 If two angles are vertical, then they are what? Draw a pair of vertical angles. Answer: Congruent NEXT QUESTION Proving Angles Congruent - 200 <A + <B = 180 degrees <C is supplementary to <B What else do we know? Answer: <A=<C NEXT QUESTION Proving Angles Congruent - 300 If angle 1 = (6y-10) and angle 4 = (6y+10) What is the value of y? 1 4 2 Answer: 3 Y = 15 Drawing not to scale NEXT QUESTION Proving Angles Congruent - 400 <1 = (y+x) Find x and y <2= (y-x) <4 = 2x 1 4 2 3 Drawing not to scale Answer: X=30 y = 90 NEXT QUESTION Proving Angles Congruent - 500 <A is five times as large as its complement <B, What are angles A and B equal to? Answer: <A= 75, <B=15 NEXT QUESTION Trivia - 100 What college did Mr. Sullivan attend? NEXT QUESTION Answer: University of Illinois at UrbanaChampaign Trivia - 200 What Seattle star accused Pearl Jam of being “fake grunge” before he passed away? NEXT QUESTION Answer: Kurt Cobain Trivia - 300 What Godfather star attended LHS? Answer: Marlon Brando NEXT QUESTION Trivia - 400 What LHS graduate was a back-up baseball player at LHS, yet had a distinguished pro career from ’81-’97 Answer: Brett Butler NEXT QUESTION Trivia - 500 How old must children be before you can legally swear at them in Jonesboro, Georgia? Answer: Fourteen NEXT QUESTION Daily Double Daily Double