Inductive and Deductive Reasoning in Geometry

What is a conjecture in inductive reasoning?

• An unproven statement based on observations

• A proven fact

• A scientific law

• A mathematical theorem

What is a counter-example?

• A case that supports a conjecture

• A mathematical proof

• A case that disproves a conjecture

• A general rule

In the first example, how many parts is the circle divided into in the fourth figure?

• Four parts

• Six parts

• Eight parts

• Ten parts

What is the product of a negative integer and a positive integer?

• A positive integer

• A negative integer

• Zero

• An even number

What is the sum of any four odd positive numbers?

• Always odd

• Always even

• Always prime

• Always negative

What is the counter-example for the statement 'The sum of the numbers is always greater than the two numbers'?

• 1 and 2

• 0 and 2

• 3 and 4

• 5 and 6

What is the absolute value of the sum of -1 and -3?

• 4

• 2

• 1

• 0

What does deductive reasoning use to reach a conclusion?

• Experiments and trials

• Guesses and assumptions

• Facts and definitions

• Patterns and observations

Which type of reasoning is used when predicting that a ball will return to the ground based on previous observations?

• Logical reasoning

• Scientific reasoning

• Inductive reasoning

• Deductive reasoning

If all reptiles are cold-blooded and parrots are not cold-blooded, what can we conclude about Sue's pet parrot?

• It is not a reptile

• It is warm-blooded

• It is cold-blooded

• It is a reptile