MMW module 3

Which of the following is a type of reasoning where specific observations lead to a general conclusion?

• Deductive reasoning

• Inductive reasoning

• Intuition

• Analogy

What is the converse of the conditional statement: "If it is raining, then the ground is wet"?

• If the ground is wet, then it is raining

• If it is not raining, then the ground is not wet

• If the ground is not wet, then it is not raining

• If it is raining, the ground is not wet

What is the first step in Polya’s 4-step problem-solving process?

• Look back

• Devise a plan

• Understand the problem

• Carry out the plan

Which property states that if , then ?

• Reflexive

• Symmetric

• Transitive

• Distributive

In deductive reasoning, what is the conclusion for the argument: "All squares are rectangles. A square is a shape."?

• A rectangle is a square

• A square is a shape

• All rectangles are squares

• All shapes are squares

What type of reasoning involves comparing two situations or objects to draw a conclusion?

Name the property in algebra where .

What step of Polya's problem-solving process involves checking the solution for accuracy?

What logical statement involves both a conditional and its converse?

What reasoning type is commonly used to prove theorems in mathematics?