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- 1. Multiple Choice
Which is the converse of: "If a figure is a circle with radius r, then its circumference is 2πr."
If a figure has a circumference of 2(pi)r, then its a circle with radius r.If a figure doesn't have a circumference, then it's a circle with a radius of r.If a figure isn't a circle with radius r, then its circumference isn't 2(pi)rIf a figure isn't a circle, then it doesn't have a circumference. - 2. Multiple ChoiceContrapositive of:
If an integer ends with 0, then it's divisible by 2.If an integer ends with 2 then it's divisible by 0.If an integer doesn't end in 0, then it's not divisible by 2.If an integer isn't divisible by 2, then it's doesn't end in 0.If an integer is divisible by 2, then it ends with 0. - 3. Multiple ChoiceInverse of:
If you win the championship game, then you win the league trophy.If you don't win the championship game, then you don't win the league trophy.If you win the league trophy, then you win the championship game.If you don't win the league trophy, then you don't win the championship game.If you don't play the game, you can't win a trophy. - 4. Multiple ChoiceConditional: If a triangle is scalene, then it has no congruent sides.
Which statement shows the conditional written as a true biconditional?A triangle is scalene if and only if it has no congruent sides.If a triangle has no congruent sides, then the triangle is scalene.If a triangle has some congruent sides, then the tringle is not scalene.A triangle is equilateral if and only if it is not scalene. - 5. Multiple ChoiceWhich conclusion can you make?
If a whole number ends in 0, then it is divisible by 10.
If a whole number is divisible by 10, then it is divisible by 5.If a whole number ends in 10 then it's divisible by 0.If a whole number ends in 5, then it's divisible by 10.If a whole number ends in 0, then it's divisible by 5.No conclusion can be made. - 6. Multiple ChoiceThe "if" part of an if-then statement contains the ___________hypothesisconclusion
- 7. Multiple ChoiceThe "then" part of an if-then statement contains the ___________hypothesisconclusion
- 8. Multiple ChoiceIdentify the conclusion. "If the car is running, then the key is in the ignition."
the car is running
The key is in the ignitionIf the car is running
then the key is in the ignition.
- 9. Multiple ChoiceWhich is the correct if-then statement for: "you will be late to school if you miss the bus."If you are late to school, then you will miss the bus.If you miss the bus, then you will be late to school
- 10. Multiple Choice
Consider the statement:
If Ed lives in Texas, then he lives South of Canada.
Is the statement TRUE/FALSE/Cannot be determined?
True
False
Cannot be determined
- 11. Multiple Choice
If all of the statements are true, where is the gold?
Chest 1
Chest 2
Chest 3
- 12. Multiple ChoiceTrue or False: a counterexample is an example that makes a definition or conjecture incorrectTrueFalse
- 13. Multiple Choice
Which is a counterexample to the following statement?
If an animal is brown, then it is a dog.
Squirrel
Chocolate lab
White rabbit
Blue jay
- 14. Multiple Choice
Which is a counterexample to the following statement?
If an angle is obtuse, then it is . - 15. Multiple Choice
Which is a counterexample to the following statement?
If two angles add up to , then they are a linear pair.None of the above
- 16. Multiple Choice
What is the next term in the sequence?
2, 5, 8, 11, 14, ...
17
15
20
18
- 17. Multiple Choice
Which is a counterexample to the following statement?
If you live in Texas, then you live in Carrollton.
New York City
Dallas
Houston
Los Angeles
- 18. Multiple Choice
Which of the following is a counterexample:
All birds can fly
Robin
Pig
Penguin
Crow
- 19. Multiple Choice
What is the next term:
Alabama, Alaska, Arizona, Arkansas, ...
Nebraska
California
Delaware
Colorado
- 20. Multiple ChoiceWhen taking the converse we ___________ the hypothesis and conclusion.negateswitchleave the sameswitch and negate
- 21. Multiple ChoiceWhen taking the inverse we _____________ the hypothesis and conclusion.negateswitchswitch and negateleave the same
- 22. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.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.
- 23. Multiple ChoiceOriginal: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.ConverseInverseContrapositiveNegation - 24. Multiple ChoiceWhich of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."If you are not a guitar player, then you are not a musician.If you are a musician, then you are a guitar player.If you are a guitar player, then you are not a musician.If you are not a musician, then you are not a guitar player. - 25. Multiple ChoiceWhich of the following is the inverse to the statement:
"If you diet and exercise, then you will lose weight."If you don't diet and exercise, then you will not lose weight.If you don't diet and exercise, then you will lose weight.If you lose weight, then you dieted and exercised.If you don't lose weight, then you diet and exercise. - 26. Multiple ChoiceIs the inverse of the following statement true? "If an angle measures 30 degrees, then it is acute."YesNo
- 27. Multiple ChoiceGiven the statement “If you lose, then I win”, how is the statement “If I don’t win, then you don’t lose.” related to it?
converseinversecontrapositivebiconditional - 28. Multiple ChoiceIs the given statement true:
If the chair is empty, then class is not in session.True. Class can't happen if a chair isn't occupied.False. Someone could be absent.True. Nobody sits down so we don't do work.True. There are no chairs here, so the hypothesis is true. - 29. Multiple ChoiceA ___________ shows the reasoning is falseinductive reasoningcounterexampleconclusion
- 30. Multiple Choice
A way to reach a conclusion based on a pattern and observation
inductive reasoningdeductive reasioninggiven statement - 31. Multiple ChoiceA ________ uses the words "if" and "then"conditional statementhypothesisconclusion
- 32. Multiple ChoiceA way to reach a conclusion based on known factsdeductive reasoninginductive reasoningproperties of congruence
- 33. Multiple ChoiceIdentify the hypothesis. "If the car is running, then the key is in the ignition."The car is runningThe key is in the ignition
If the car is running
then the key is in the ignition.
- 34. Multiple Choice
Use the following conditional statement to answer the question.
If a polygon is a hexagon, then it has 6 sides.
Which of the resulting statements is true?
Contrapositive
Original & Contrapositive
Contrapositive & Inverse
Original, Converse, Inverse, & Contrpositive
- Answer choicesTagsAnswer choicesTags