For an initial geometry vocabulary post, I am defining two- and three-dimensional figures because they are mentioned in the first paragraph of the NCTM standard regarding geometry. “Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships”
Two-dimensional figure – A two dimensional figure is one that has length and width, but no depth, giving it measurements in two directions. Some examples of two dimensional figures are the square, circle, rectangle, parallelogram, and rhombus. This definition is from my prior knowledge.
From mathisfun: A 2 dimensional shape. Has width and breadth, but no thickness. These are plane shapes.
Three-dimensional figure – A three-dimensional figure is one that has length, width, and depth, giving it measurements in three directions. Some examples are the sphere, cube, rectangular prism, and the triangular pyramid. This definition is from my prior knowledge.
From mathisfun: An object that has height, width and depth, like any object in the real world. Example: your body is three-dimensional
References: http://www.mathisfun.com
Gotta Love Math! 
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