Geometry - Logic and Reasoning Review

Front

What is the contrapositive of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?

Back

If a polygon is not a trapezoid, then it is not a quadrilateral.

Front

Reasoning based on specific examples and patterns used to form conjectures is called ____________ reasoning.

Back

Inductive

Front

What type of reasoning is used in the statement: 'All bears are mammals, all mammals have kidneys; therefore all bears have kidneys'?

Back

Deductive

Front

What is a counterexample?

Back

A specific case that disproves a conjecture.

Front

Define a quadrilateral.

Back

A polygon with four sides.

Front

What is the definition of a trapezoid?

Back

A quadrilateral with at least one pair of parallel sides.

Front

What is deductive reasoning?

Back

Reasoning from general principles to specific conclusions.

Front

What is inductive reasoning?

Back

Reasoning from specific examples to general conclusions.

Front

What is a conjecture in geometry?

Back

A statement that is believed to be true based on observations.

Front

What is a polygon?

Back

A closed figure formed by a finite number of straight line segments.