jeopardy 100 deductive reasoning 500 300 200 400 100 biconditionals and conditionals 500 300 200 400...

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Jeopar dy 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

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Page 1: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Page 2: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Prop., Post. Thrms - 100

Answer:

Distributive Prop of Equality

NEXT QUESTION

Why Does 3(x+6) =

3x + 18

Page 3: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Prop., Post., Thrms - 200

Answer:

Transitive Prop. of equality

NEXT QUESTION

If BY = XD, XD = ZC,

Why does BY = ZC?

Page 4: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Prop., Post., Thrms - 300

Answer:Sometimes

NEXT QUESTION

Answer Always, Sometimes, Never:

Vertical Angles are Supplementary

Page 5: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Prop., Post., Thrms - 400

Answer:

Always

NEXT QUESTION

Answer Always, Sometimes, Never:

Every Obtuse Angle has a supplement

Page 6: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Prop., Post., Thrms - 500

Answer: Sometimes

NEXT QUESTION

Answer Always, Sometimes, Never:

Adjacent Angles form a Linear Pair

Page 7: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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 linesare perpendicular

Page 8: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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!

Page 9: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Page 10: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Bicondtionals and Conditionals - 400

Answer:

If x2 = 9, then x=3

False; -3

NEXT QUESTION

Write the Converse. If the converse is True:Write the BiconditionalIf False: Give a Counterexample

If x=3, then x^2=9

Page 11: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Page 12: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Page 13: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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 theyare Complementary

m<A + m<B = 90

Page 14: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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!

Page 15: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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.

Page 16: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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.

Page 17: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Algebraic Reasoning - 100

2

147

1047

x

x

x Answer:

Addition Property of equality

Division Property of equality

NEXT QUESTION

Justify each step

Page 18: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Page 19: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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

Given:

Prove: x = 21

(2x)°

6(x – 3)°

Drawing not to scale

Page 20: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Algebraic Reasoning - 400

Answer:11x – 6y = -1, x = 8 Given88 – 6y = -1 Substitution-6y = -89 Subtraction Prop. =y = 89/6 Division Prop. =89/6 = y Symmetric Prop. =

NEXT QUESTION

Given: 11x - 6y= -1; x = 8 Prove: y = 89/6

Page 21: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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 +3KL = 18, find x

Page 22: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Proving Angles Congruent - 100

Answer:

Congruent

NEXT QUESTION

If two angles are vertical, then they are what?

Draw a pair of vertical angles.

Page 23: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Proving Angles Congruent - 200

Answer:

<A = <B

NEXT QUESTION

<A + <B = 180 degrees<C is supplementary to <BWhat else do we know?

Page 24: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Proving Angles Congruent - 300

Answer:

x = 30 y = 90

NEXT QUESTION

1

2

3

4

Drawing not to scale

<1 = (y+x) <2= (y-x) <4 = 2xFind x and y

Page 25: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

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?

Page 26: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Proving Angles Congruent - 500

Answer:Addition Prop of =

NEXT QUESTION

Page 27: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Trivia - 100Answer:

Cougar

NEXT QUESTION

What is your school mascot?

Page 28: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Trivia - 200

What was your Homecoming Theme? Answer:

Circus Circus

NEXT QUESTION

Page 29: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Trivia - 300

Answer:

34 to 0

NEXT QUESTION

What was the score of the Varsity Football Game last week against Antioch?

Page 30: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Trivia - 400

Answer:

Chicago Cubs

NEXT QUESTION

What baseball team is Mrs. Chapman rooting for?

Page 31: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Trivia - 500

How many years has it been since the Cubs have won the World Series?

Answer:

102 years

NEXT QUESTION

Page 32: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Daily Double

Page 33: Jeopardy 100 Deductive Reasoning 500 300 200 400 100 Biconditionals And Conditionals 500 300 200 400 100 Properties, Postulates, Theorems 500 300 200

Daily Double