plane figure
Definition
Noun: A plane figure is a geometric figure that lies entirely within a single plane. It is a two-dimensional shape, possessing length and width but no depth. Plane figures are defined by points, lines, and curves on a flat surface.
Usage
The term "plane figure" is used in geometry and mathematics to describe and classify flat shapes. It is a formal term that distinguishes two-dimensional shapes from three-dimensional solids. - A square, a circle, and a triangle are all examples of a plane figure. - To calculate the area, you must first identify the type of plane figure.
Advanced Usage
- In geometric proofs: The properties of a specific plane figure (e.g., a parallelogram) are used as given conditions or to derive conclusions.
- The proof relied on the property that opposite sides of this plane figure are parallel and equal.
Variants and Related Words
- Two-dimensional shape: A direct synonym for plane figure.
- Planar figure: A less common but equivalent term.
- Polygon: A specific type of plane figure bounded by straight line segments (e.g., pentagon, hexagon).
- Curvilinear figure: A plane figure bounded by curves (e.g., circle, ellipse).
Synonyms
- Two-dimensional shape
- Flat shape
- Geometric figure (when context implies two dimensions)
Related Phrases/Concepts
- Plane geometry: The branch of mathematics dealing with the properties and relations of plane figures.
- Solid figure: The three-dimensional counterpart to a plane figure (e.g., cube, sphere).
Noun
-
a two-dimensional shape
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