Three-dimensional figures can be located on a Cartesian coordinate system.A.TrueB.False

Analyzing the Question

The statement presented pertains to the placement of three-dimensional figures within a Cartesian coordinate system. To determine whether the statement is true or false, we need to understand the properties of the Cartesian coordinate system and how it relates to three-dimensional geometry.

Relevant Concepts

1. Cartesian Coordinate System: A system for defining points in space using ordered pairs (in 2D) or triples (in 3D).
2. Three-Dimensional Figures: These are shapes that have width, height, and depth, such as cubes, spheres, and cylinders.

Analysis and Detail

In a standard Cartesian coordinate system:

• A point in 2D space is defined by two coordinates (x, y).
• For three-dimensional spatial representation, a point is defined by three coordinates (x, y, z).
• The x-axis corresponds to width, the y-axis corresponds to height, and the z-axis represents depth.

Given this understanding, any three-dimensional figure can indeed be represented in a three-dimensional Cartesian coordinate system by using its vertices or defining its equations.

Verify and Summarize

Since three-dimensional figures can be represented using three coordinates in a Cartesian system, the statement "Three-dimensional figures can be located on a Cartesian coordinate system" is indeed a true statement.

Final Answer

A. True