Jeopardy Proving Properties, Postulates, Theorems Biconditionals Deductive And Conditionals Algebraic 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 Prop., Post. Thrms - 100 Why Does 3(x+6) = 3x + 18 Answer: Distributive Prop of Equality NEXT QUESTION Prop., Post., Thrms - 200 If BY = XD, XD = ZC, Why does BY = ZC? Answer: NEXT QUESTION Transitive Prop. of equality Prop., Post., Thrms - 300 Answer Always, Sometimes, Never: Vertical Angles are Supplementary Answer: Sometimes NEXT QUESTION Prop., Post., Thrms - 400 Answer Always, Sometimes, Never: Every Obtuse Angle has a supplement Answer: Always NEXT QUESTION Prop., Post., Thrms - 500 Answer Always, Sometimes, Never: Adjacent Angles form a Linear Pair Answer: Sometimes NEXT QUESTION Bicondtionals and Conditionals- 100 Identify the Hypothesis and Conclusion: If two lines intersect at right angles, then the two lines are perpendicular Answer: H: Two lines intersect at right angles C: The Two lines are perpendicular NEXT QUESTION Bicondtionals and Conditionals - 200 Write the Conditional and Converse: Exercising keeps you in good shape! Answer: If you exercise, then you are in good shape. NEXT QUESTION If you are in good shape, then you exercise. Bicondtionals and Conditionals - 300 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 Conditionals - 400 Write the Converse. If the converse is True: Write the Biconditional If False: Give a Counterexample If x=3, then x^2=9 Answer: If x^2 =9, then x=3 False; -3 NEXT QUESTION Bicondtionals and Conditionals - 500 Give a counterexample for the following: If you live in Springfield, then you live in Illinois Answer: Ms. Henley lives in Springfield, Massachusetts NEXT QUESTION Deductive Reasoning 100 Use the law of detachment to draw a conclusion If a team wins on Sunday, then practice is cancelled Monday. The Bears won Sunday Answer: Bears practice is cancelled 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 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! Answer: If you study, then you are Happy! 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 If a dog eats Doggie Delights, then it is a happy dog. Fido is a happy dog. Make a conclusion, if you can not make a conclusion, write no conclusion Answer: NO conclusion NEXT QUESTION Algebraic Reasoning 100 Justify each step 7 x 4 10 7 x 14 x2 Answer: Addition Property of equality Division Property of equality NEXT QUESTION Algebraic Reasoning 200 The measure of two vertical angles are (7x-8) and (6x+11): Solve for X: Justify Each answer Answer: 7x-8=6x+11 Vertical Angle T X-8=11 Subtraction Prop. = X=19 Addition Prop. = NEXT QUESTION Algebraic Reasoning 300 Given: Prove: x = 21 (2x)° Answer: 6(x – 3)° <AOB + <BOC=<AOC Angle + Post. Drawing not to scale 2x+6(x-3)=150 Substitution 2x+6x-18=150 Distributive 8x-18=150 CLT 8x=168 Addition Prop. = NEXT QUESTION X=21 Division Prop of = Algebraic Reasoning 400 Given: 11x - 6y= -1; x = 8 Prove: y = 89/6 Answer: 11x – 6y = -1, x = 8 Given 88 – 6y = -1 Substitution -6y = -89 Subtraction Prop. = y = 89/6 Division Prop. = 89/6 = y Symmetric Prop. = 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: KM + ML=KL Seg. Addition Post. KM = ML Definition of Bisect 2x+3 + 2x+3=18 Substitution 4x+6=18 CLT 4x=12 Subtract Prop. = NEXT QUESTION X=3 Division Prop. = 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=<B NEXT QUESTION Proving Angles Congruent - 300 <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 - 400 <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 Given: Proving Angles Congruent - 500 Prove: 1. 1. Given 2. 2.___________________________ Answer: Addition Prop of = Angle Addition Postulate 3. 3.___________________________ 4. 4.___________________________ NEXT QUESTION Substitution Trivia - 100 What is your school mascot? NEXT QUESTION Answer: Cougar Trivia - 200 What was your Homecoming Theme? Answer: Circus Circus NEXT QUESTION Trivia - 300 What was the score of the Varsity Football Game against Antioch (Homecoming) NEXT QUESTION Answer: Trivia - 400 What sport does Ms. Henley Coach? Answer: Varsity Poms NEXT QUESTION Trivia - 500 How many miles is a Marathon? Answer: 26.2 Miles NEXT QUESTION Daily Double Daily Double