Inductive Reasoning and Conditional Statements

Front

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

Back

Inductive reasoning

Front

Conjecture

Back

A statement believed to be true based on observations.

Front

The product of any two odd numbers is _____________

Back

odd

Front

Used to prove that a conjecture is false.

Back

Counterexample

Front

Which number is a counterexample to the statement: All numbers that are divisible by 2 are divisible by 4? Options: 0, 12, 28, 42

Back

42

Front

Counterexample of: The difference of two numbers is less than the greater number. Options: (5) - (2) = 3, (-5) - (4) = -9, (2) - 0 = 2, (3) - (3) = 0

Back

(2) - 0 = 2

Front

Identify the converse of the conditional statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Back

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

Front

Identify the inverse of the conditional statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Back

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

Front

Identify the contrapositive of the conditional statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Back

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

Front

What is the hypothesis and conclusion of the conditional statement: 'If you are in Alaska, then you are cold'?

Back

Hypothesis: you are in Alaska. Conclusion: you are cold.