Jeopardy 100 Deductive Reasoning Biconditionals And Conditionals Properties, Postulates, Theorems Trivia Proving Angles Congruent Algebraic Reasoning

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

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

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

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

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

Bicondtionals and Conditionals 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

Bicondtionals and Conditionals 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!

Bicondtionals and Conditionals 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

Bicondtionals and Conditionals 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

Bicondtionals and Conditionals 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

Deductive Reasoning 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

Deductive Reasoning 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

Deductive Reasoning 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!

Deductive Reasoning 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.

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

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

Algebraic Reasoning 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

Algebraic Reasoning 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

Algebraic Reasoning 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

Algebraic Reasoning 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

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

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

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

Proving Angles Congruent 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?

Proving Angles Congruent Answer: Addition Prop of = NEXT QUESTION

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

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

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

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

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

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