Question

A plane is an undefined term because it

A) can be named using three noncollinear points
B) is described generally, not using a formal definition
C) is where other geometric shapes can be constructed
D) is a flat surface that extends indefinitely in all directions

Answer 1

A plane is an undefined term because:

Let us consider the options.

Option 1: can be named using three non collinear point.

This is not the correct answer because  a plane is a flat, two-dimensional surface that extends infinitely far. Therefore, it is undefined because it is a flat surface that extends indefinitely in all directions.

Option 2: is described generally, not using a formal definition.

This is not the correct answer because  a plane is a flat, two-dimensional surface that extends infinitely far. Therefore, it is undefined because it is a flat surface that extends indefinitely in all directions.

Option 3: is where other geometric shapes can be constructed.

This is not the correct answer because  a plane is a flat, two-dimensional surface that extends infinitely far. Therefore, it is undefined because it is a flat surface that extends indefinitely in all directions.

Option 4: is a flat surface that extends indefinitely in all directions.

This is the correct answer as plane is a flat surface that extends indefinitely in all directions.

Therefore, option 4 is the correct answer.