Transcript Chapter Review Jeopardy
Jeopardy
Properties, Postulates, Theorems
Biconditionals And Conditionals
Deductive Reasoning
Algebraic Reasoning
Proving Angles Congruent
Trivia
Prop., Post. Thrms - 100 Why Does 3(x+6) = 3x + 18
Answer: Distributive Prop of Equality
Prop., Post., Thrms - 200 If BY = XD, XD = ZC, Why does BY = ZC?
Answer:
Transitive Prop. of equality
Prop., Post., Thrms - 300 Answer Always, Sometimes, Never: Vertical Angles are Supplementary
Answer: Sometimes
Prop., Post., Thrms - 400 Answer Always, Sometimes, Never: Every Obtuse Angle has a supplement Answer: Always
Prop., Post., Thrms - 500 Answer Always, Sometimes, Never: Adjacent Angles form a Linear Pair
Answer: Sometimes
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
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.
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
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
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
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
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
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!
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.
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
Algebraic Reasoning 100
Justify each step 7
x
4 10 7
x
14
x
2 Answer: Addition Property of equality Division Property of equality
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. =
Algebraic Reasoning 300
Given: Prove:
x = 21 (2x)° 6(x – 3)° Drawing not to scale
Answer: 2x+6(x-3)=150 Substitution 2x+6x-18=150 Distributive 8x-18=150 CLT 8x=168 Addition Prop. = X=21 Division Prop of = 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. = 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. = Division Prop. = Proving Angles Congruent - 100 If two angles are vertical, then they are what? Draw a pair of vertical angles. Answer: Congruent Proving Angles Congruent - 200
Answer: Proving Angles Congruent - 300 <1 = (y+x) <2= (y-x) <4 = 2x Find x and y 4 1 3 2 Drawing not to scale Answer: X=30 y = 90 Proving Angles Congruent - 400
Answer: Given: Prove: Proving Angles Congruent - 500 1. 2. 3. 4. 1. Given 2.___________________________ 3.___________________________ 4.___________________________ Addition Prop of = Angle Addition Postulate Substitution What is your school mascot? Answer: Cougar What was your Homecoming Theme? Answer: Circus Circus What was the score of the Varsity Football Game against Antioch (Homecoming) Answer: What sport does Ms. Henley Coach? Answer: Varsity Poms - 500 How many miles is a Marathon? Answer: 26.2 MilesAlgebraic Reasoning 400
Algebraic Reasoning 500
Trivia - 100
Trivia - 200
Trivia - 300
Trivia - 400
Trivia
Daily Double
Daily Double