Foundations of Geometry

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

Tags

CCSS.HSG.CO.A.1

The basic foundation of Euclidean geometry exists on the principle concept of which of the following?

• Undefined terms

• Definitions

• Postulates

• Conjectures

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.

Which term represents a statement that is assumed true in a geometric system?

• Theorems

• Undefined Terms

• Postulates

• Conjectures