Unit 1 Review - Logic & Reasoning

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by switching the hypothesis and conclusion.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

Provide a counterexample to the statement: 'All numbers that are divisible by 2 are divisible by 4.'

Back

42 is a counterexample because it is divisible by 2 but not by 4.

Front

How do you determine the number of cubes in a figure based on a pattern?

Back

Identify the pattern in the sequence of figures and apply it to find the number of cubes in the desired figure.

Front

What type of reasoning is used when making a conclusion based on specific observations?

Back

Inductive reasoning is used when making a conclusion based on specific observations.

Front

What is deductive reasoning?

Back

Deductive reasoning is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific examples, while deductive reasoning involves applying general principles to reach specific conclusions.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Front

What does it mean to negate a statement?

Back

To negate a statement means to state that the opposite of the statement is true.

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'.