Basic Geometry Terms and Definitions

What are the three undefined terms in mathematical systems?

• even, odd, prime

• point, line, and plane

• circle, square, triangle

• addition, subtraction, multiplication

Give an example of an undefined term in geometry.

• Circle

• Point

• Line

• Triangle

Explain the concept of point as an undefined term.

• A point is a small dot on a piece of paper.

• A point is a line that extends infinitely in both directions.

• A point is a shape with length and width.

• A point is considered as an undefined term in mathematics.

Which terms are considered undefined terms in Euclidean geometry?

• Point, plane, line segment

• Point, line, plane

• Line, plane, angle

• Point, line, ray

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

A location in space that is represented by a dot and has no dimensions

• Point

• Line

• Plane

• Angle

What is it called when points lie on the same line.

• Midpoint

• Coplanear

• Segment Bisector

• Collinear

Two coplanar lines that never meet and are always an equal distance from each other.

• Parallel

• Perpendicular

• Intersecting

• Skew