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- 1. Multiple Choice
If something is an angle, then it is acute. What is an appropriate counter-example?
70⁰
45⁰
120⁰
True. There is no counterexample.
- 2. Multiple ChoiceUse inductive reasoning to finish the pattern: 400, 200, 100, 50, ____-1502512.50
- 3. Multiple Choice
A conjecture is:
a false example in a compound statement
a compound statement using and or nor
a concluding statement reached during inductive reasoning
an educated guess based on empirical data, collected by a calculator
- 4. Multiple Choice
Inductive Reasoning means...
Guessing
Testing and observing patterns to make conjectures
Explaining why
Adding numbers together
- 5. Multiple ChoiceGiven, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.If I have a Siberian Husky.I have a Siberian Husky.Then I have a dog.I have a dog.
- 6. Multiple ChoiceGiven, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.If I have a Siberian Husky.I have a Siberian Husky.Then I have a dog.I have a dog.
- 7. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the converse.If the measures of the angles are equal, then the angles are congruent."If angles are not congruent, then the measures of the angles are not equal."If the measures of the angles are not equal, then the angles are not congruent.If the angles are not congruent, then the measure of the angles are equal.
- 8. Multiple ChoiceUse the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energyYou have more energyIf you exercise regularly, then you have more energyYou have a healthy bodyIf you do not have a healthy body, then you do not exercise regularly - 9. Multiple Choice
If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.
What can you conclude?
Bill wore a green shirt.
Bill passed the test.
Nothing
- 10. Multiple ChoiceUse the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the examI study for 1 hour each day.I do not study for 1 hour each dayIf I do well on the exam, I studied for 1 hour each day.not possible - 11. Multiple Choice
Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.
Inductive
Deductive
- 12. Multiple Choice
Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.
Inductive
Deductive
- 13. Multiple Choice
Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?
Straight Angle Theorem
Congruent Compliments Theorem
Vertical Angles Theorem
Linear Pair Theorem
- 14. Multiple Choice
Which of the following statements is the inverse of
"If you do not understand geometry, then you do not know how to reason deductively."?
If you reason deductively, then you understand geometry.
If you understand geometry, then you reason deductively.
If the do not reason deductively, then you understand geometry.
If you understand geometry, then you do not know how to reason deductively.
- 15. Multiple Choice
Which of the following statements is the contrapositive of
"If you understand logic, you will be a good consumer."?
If you are a good consumer, then you understand logic.
If you are not a good consumer, then you do not understand logic.
If you do not understand logic, then you will not be a good consumer.
If you understand logic, you will not be a good consumer.
- 16. Multiple Choice
Deductive reasoning is the type of reasoning used when people make conjectures.
True
False
- 17. Multiple Choice
If two angles form a linear pair, what can you conclude about the angles?
The two angles are congruent.
The two angles are complementary.
The two angles are supplementary.
The two angles are right angles.
- 18. Multiple Choice
What is this? ¿Que es esto?
Conditional statement Enunciado condicional
Inverse Inversa
Converse Conversa
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS! ESTA ES UNA CLASE DE GEOMETRIA !!! ¡DAME NÚMEROS!
- 19. Multiple Choice
What is q → p? ¿Qué es q → p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
- 20. Multiple Choice
What is ~p → ~q? ¿Qué es ~ p → ~ q?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
- 21. Multiple Choice
What is ~q → ~p? ¿Qué es ~ q → ~ p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
- 22. Multiple Choice
Which of the following is used to prove that a conjecture is false? ¿Cuál de las siguientes opciones se usa para probar que una conjetura es falsa?
Counterexample Contraejemplo
Inductive Reasoning Razonamiento inductivo
Concluding statement Declaración final
Conjecture Conjetura
- 23. Multiple ChoiceWhat can be assumed?
C is the midpoint of segment ABAB = BCAC=CBNothingBA=CA - 24. Multiple ChoiceName the property:
2(x + 3) = 2x + 6DivisionDistributiveReflexiveSubstitution - 25. Multiple ChoiceName the property described:
If PQ = RS then RS = PQReflexiveSymmetricTransitiveAddition - 26. Multiple Choice
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
If the measures of the angles are equal, then the angles are congruent.
"If angles are not congruent, then the measures of the angles are not equal."
If the measures of the angles are not equal, then the angles are not congruent.
If the angles are not congruent, then the measure of the angles are equal.
- 27. Multiple ChoiceWhat is the justification (reason)?reflexive propertydefinition of segment bisectdefinition of a midpointsubstitution property
- 28. Multiple ChoiceIf <1 and <2 are complementary, then m<1 + m<2 = 90Addition POESubtraction POEDef of right angleDef of Complementary Angles
- 29. Multiple ChoiceWhat is the justification?Symmetric Prop.Angle addition postulateReflexive PropTransitive Prop.
- 30. Multiple ChoiceIf A = B, then 8A = 8BMultiplication POEDivision POEReflexive POEAddition POE
- 31. Multiple Choiceaddition POEangle addition POEsubtraction POEsubstitution POE
- 32. Multiple Choice
p→q
q→r
∴p→r
Which law is modeled?
Law of Syllogism
Law of Contrapositive
Law of Detachment
Law of Shannon
- 33. Multiple Choicep→q
p
∴q
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 34. Multiple ChoiceWhat has to happen in order to write a biconditional statement?conditional has to be trueconverse of the conditional has to be trueall the abovenone of the above
- 35. Multiple ChoiceWhat phrase does a biconditional statement use?if, thenif, whenif and only ifthen, if
- 36. Multiple ChoiceWhen can a biconditional statement be true?When the inverse and the converse are both trueWhen the original statement (conditional statement) & the contrapositive are both true.When the converse is true.When the original statement (conditional statement) and the converse are both true.
- 37. Multiple ChoiceRewrite the following statement as a biconditional: "Supplementary angles add up to 180"If two angles add up to 180o then they are supplementary.You can't it is conditional.Two angles are supplementary if and only if the sum of the measure of the two angles is 180o.If two angles sum does not equal 180o then they are not supplementary.
- 38. Multiple ChoiceThis symbol, ↔, means?andorif and only ifimplies
- Answer choicesTagsAnswer choicesTags