Mathematics Grade 8 Quiz: Components of Mathematical System

What are the undefined terms in Geometry?

• Axioms/Postulates and Theorems

• Intersecting and Parallel lines

• Bisector, Betweenness and Midpoint

• Point, Line and Plane

Which of the following does NOT describe a mathematical system?

• Postulates /Axioms

• Theorems

• Undefined and defined terms

• Intersecting and Parallel lines

Which of the following is a subset of a line with two endpoints?

• Ray

• Midpoint

• Angle

• Line segment

Which of the following statement is accepted to be true without proof?

• Definition

• Shapes

• Postulate /Axiom

• Theorems

What do you call a statement that has become a rule because it has been proven to be true?

• Definition

• Theorems

• Axiom

• Postulate

What undefined term that has infinite length but no width nor thickness?

• Point

• Plane

• Line

• Angle

Which mathematical system does NOT require a definition but it is used as a basis in defining other terms?

• Undefined terms

• Defined terms

• Theorems

• Postulate

These are mathematical terms which cannot be precisely defined. They can only be explained using examples and descriptions. In geometry, these are lines, points, and planes.

• undefined terms

• theorems

• postulates

• defined terms

Defined as a line of points that extends infinitely in two directions. It has one dimension, length.

• point

• plane

• line

• arrow

Extends infinitely in all dimensions. It has length and width but no thickness.

• Point

• Line

• Plane

• Arrow