Understanding Deductive Reasoning

What is the primary goal of deductive reasoning?

• To prove a hypothesis without evidence

• To guess the outcome based on intuition

• To draw a conclusion from given facts and statements

• To create new facts from existing conclusions

According to the Law of Detachment, what can be concluded if the hypothesis is true?

• The hypothesis is false

• The conclusion is true

• The hypothesis is irrelevant

• The conclusion is false

What is the symbolic representation of 'therefore' in logic?

• An arrow

• A triangle of three dots

• A single dot

• A square

In the example, if Mark saves $30, what can he do?

• Save more money

• Buy a new video game

• Buy a new book

• Go to a concert

What is the result if the hypothesis in a conditional statement is false?

• The hypothesis becomes true

• The conclusion is automatically false

• The conclusion is automatically true

• No valid conclusion can be drawn

What is the relationship between a rhombus and a parallelogram?

• A rhombus is not a parallelogram

• A rhombus is a type of parallelogram

• They are unrelated shapes

• A parallelogram is a type of rhombus

What is the Law of Syllogism used for?

• To draw a conclusion from a single statement

• To combine two conditional statements

• To negate a hypothesis

• To prove a statement false

If it's Saturday, what does Jake need to do according to the example?

• Play video games

• Go to school

• Visit his grandparents

• Pack his lunch

If a number is divisible by 12, what can be concluded using the Law of Syllogism?

• It is divisible by 7

• It is divisible by 5

• It is divisible by 3

• It is divisible by 4

What is the conclusion if a quadrilateral is a square?

• It is a circle

• It has no angles

• It is a triangle

• It has 4 right angles