Inductive and Deductive Reasoning in Geometry

What is the next number in the sequence: 5, 10, 20, 40?

• 50

• 60

• 80

• 100

What is inductive reasoning based on?

• Experiments

• Theorems

• Postulates

• Patterns and observations

What is a conjecture?

• A postulate

• A counterexample

• A conclusion based on inductive reasoning

• A proven theorem

What is a counterexample?

• An example that supports a conjecture

• An example that disproves a conjecture

• A theorem

• A postulate

Which of the following is a counterexample to the conjecture: 'If a flower is red, it is a rose'?

• Sunflower

• Carnation

• Daisy

• Tulip

What is deductive reasoning based on?

• Guesses

• True statements

• Experiments

• Patterns and observations

In the law of detachment, if 'If P then Q' is true and P is true, what can be concluded?

• Q is true

• P and Q are both false

• P is false

• Q is false

If a student gets an A on the final exam, then the student will pass the course. If Felicia got an A on her history final exam, what can be concluded?

• Felicia will drop the course

• Felicia will fail the course

• Felicia will retake the exam

• Felicia will pass the course

In the law of syllogism, if 'If P then Q' is true and 'If Q then R' is true, what can be concluded?

• If R then P

• If Q then P

• If P then R

• If P then Q is false

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has four sides. What can be concluded?

• If a figure has four sides, then it is a square

• If a figure is a rectangle, then it is a square

• If a figure is a square, then it has four sides

• If a figure is a square, then it has three sides