Reasoning Round: Inductive, Deductive, Abductive

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Test your reasoning modes.

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Melissa Thomas

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Reasoning Round: Inductive, Deductive, Abductive


Froggy Jumps Reasoning Round: Inductive, Deductive, AbductiveVersión en línea Test your reasoning modes. por Melissa Thomas 1 Which reasoning uses general rules to predict specifics? a Inductive reasoning b Abductive reasoning c Deductive reasoning 2 Which reasoning infers a likely explanation from a few observations? a Abductive reasoning b Inductive reasoning c Deductive reasoning 3 Which reasoning starts with a hypothesis and deduces consequences? a Abductive reasoning b Inductive reasoning c Deductive reasoning 4 Which reasoning generalizes from many observed cases? a Abductive reasoning b Deductive reasoning c Inductive reasoning 5 Which type often answers 'What is the best explanation?' a Inductive reasoning b Abductive reasoning c Deductive reasoning 6 In math, which reasoning is most common must-be-true? a Inductive reasoning b Deductive reasoning c Abductive reasoning 7 Which reasoning moves from case to rule? a Abductive reasoning b Inductive reasoning c Deductive reasoning 8 Which reasoning would propose a plausible cause for a mystery? a Abductive reasoning b Deductive reasoning c Inductive reasoning 9 Which reasoning can prove a conclusion with certainty given premises? a Inductive reasoning b Deductive reasoning c Abductive reasoning 10 Which reasoning is common in scientific hypotheses testing? a Deductive reasoning b Inductive reasoning c Abductive reasoning 11 A student notices that when she squares even numbers (2, 4, 6, 8) the results are also even. She predicts that any even number squared will be even. a Inductive b Deductive c Abductive 12 You know that all right triangles follow the Pythagorean Theorem. Triangle ABC has sides 6 and 8 so you calculate c = 10. a Deductive b Inductive c Abductive 13 A mathematician observes that 1 + 2 + 3 =6 and 1 + 2 + 3 + 4 = 10 and 1 + 2 + 3 + 4 + 5 = 15. She predicts the sum of the first "n" whole numbers follows a formula. a Inductive b Deductive c Abductive 14 A student notices her triangle's measure 5, 12 and 13. She concludes it's probably a right triangle because it fits the Pythagorean Triple Pattern. a Abductive b Inductive c Deductive 15 What best describes inductive reasoning in geometry? a Proving a theorem from axioms b Inferring the most likely explanation for facts c General conclusions from specific observations 16 Which reasoning is used to prove a theorem in geometry? a Deductive reasoning b Abductive reasoning c Inductive reasoning 17 Abductive reasoning in geometry involves: a Inferring the best explanation for a set of facts b Proving with axioms c Deriving consequences from definitions 18 Which scenario illustrates deductive reasoning? a Proposing the most likely explanation for data b Observing several similar triangles and guessing a rule c Proving that a triangle with two equal sides has equal base angles 19 Which statement is an example of inductive reasoning? a This single observation proves the theorem b If A and B, then C c Every observed square in the sample is a rectangle, so all squares are rectangles 20 In geometry, a proof by contradiction is a form of which reasoning? a Deductive reasoning b Abductive reasoning c Inductive reasoning 21 If all observed parallel lines produce equal alternate interior angles, what type of reasoning is used to claim this generally? a Inductive reasoning b Deductive reasoning c Abductive reasoning 22 Which approach best explains a conjecture from multiple specific cases? a Inductive reasoning b Abductive reasoning c Deductive reasoning 23 When you choose the most plausible explanation for a geometric fact, you are: a Using deductive reasoning b Using inductive reasoning c Using abductive reasoning 24 Which is a strong feature of deductive geometry? a Conclusions are always conjectures b Conclusions are based on intuition c Conclusions follow logically from axioms and definitions

Reasoning Round: Inductive, Deductive, Abductive

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Reasoning Round: Inductive, Deductive, AbductiveVersión en línea

por Melissa Thomas

Which reasoning uses general rules to predict specifics?

Which reasoning infers a likely explanation from a few observations?

Which reasoning starts with a hypothesis and deduces consequences?

Which reasoning generalizes from many observed cases?

Which type often answers 'What is the best explanation?'

In math, which reasoning is most common must-be-true?

Which reasoning moves from case to rule?

Which reasoning would propose a plausible cause for a mystery?

Which reasoning can prove a conclusion with certainty given premises?

Which reasoning is common in scientific hypotheses testing?

A student notices that when she squares even numbers (2, 4, 6, 8) the results are also even. She predicts that any even number squared will be even.

You know that all right triangles follow the Pythagorean Theorem. Triangle ABC has sides 6 and 8 so you calculate c = 10.

A mathematician observes that 1 + 2 + 3 =6 and 1 + 2 + 3 + 4 = 10 and 1 + 2 + 3 + 4 + 5 = 15. She predicts the sum of the first "n" whole numbers follows a formula.

A student notices her triangle's measure 5, 12 and 13. She concludes it's probably a right triangle because it fits the Pythagorean Triple Pattern.

What best describes inductive reasoning in geometry?

Which reasoning is used to prove a theorem in geometry?

Abductive reasoning in geometry involves:

Which scenario illustrates deductive reasoning?

Which statement is an example of inductive reasoning?

In geometry, a proof by contradiction is a form of which reasoning?

If all observed parallel lines produce equal alternate interior angles, what type of reasoning is used to claim this generally?

Which approach best explains a conjecture from multiple specific cases?

When you choose the most plausible explanation for a geometric fact, you are:

Which is a strong feature of deductive geometry?