Inductive Reasoning and Conditional Statements

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________

• even
• odd
• zero
• positive

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Which is a counterexample of: The difference of two numbers is less than the greater number.

• (5) - (2) = 3
• (-5) - (4) = -9
• (2) - 0 = 2
• (3) - (3) = 0

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the converse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the inverse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the contrapositive of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

• Hypothesis: you are in Alaska

  Conclusion: you are

  cold

• Hypothesis: IF you are in Alaska

  Conclusion: THEN you are

  cold

• Hypothesis: THEN you are

  cold

  Conclusion: IF you are in Alaska

• Hypothesis: you are

  cold

  Conclusion: you are in Alaska