Questions: Is the following statement true or false?
A plane is two-dimensional.
true
false
Transcript text: Is the following statement true or false?
A plane is two-dimensional.
true
false
Solution
Solution Steps
To determine if the statement "A plane is two-dimensional" is true or false, we need to understand the basic properties of geometric planes. A plane in geometry is defined as a flat, two-dimensional surface that extends infinitely in all directions. Therefore, the statement is true.
Step 1: Understanding the Statement
The statement in question is "A plane is two-dimensional." In geometry, a plane is defined as a flat surface that extends infinitely in two dimensions.
Step 2: Analyzing the Properties of a Plane
A plane can be represented mathematically as having two dimensions, typically denoted as \( x \) and \( y \). This means that any point on the plane can be described using two coordinates \( (x, y) \).
Step 3: Conclusion
Since the definition of a plane confirms that it is indeed two-dimensional, we conclude that the statement is true.
Final Answer
The statement "A plane is two-dimensional" is \\(\boxed{\text{True}}\\).