Indirect Proof and Axioms

Front

There is exactly ____ line(s) through any two points.

Back

1

Front

Back

Front

What assumption would you make to prove the following statement by indirect proof: x > 2?

Back

x ≤ 2

Front

Through any three noncollinear points, there is exactly one _____.

Back

plane

Front

An indirect proof is also called proof by __________________.

Back

Contradiction

Front

What is an indirect proof?

Back

A method of proving a statement by assuming the opposite is true and showing that this assumption leads to a contradiction.

Front

What is the definition of a line in geometry?

Back

A straight one-dimensional figure having no thickness and extending infinitely in both directions.

Front

What is the definition of a plane in geometry?

Back

A flat two-dimensional surface that extends infinitely in all directions.

Front

What is the Axiom of Line Uniqueness?

Back

Through any two points, there is exactly one line.

Front

What is the Axiom of Plane Existence?

Back

Through any three noncollinear points, there is exactly one plane.