plane figure

Thân thiện

A child draws a colorful plane figure on a large sheet of paper.

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).

Học thuật

Noun

1. a two-dimensional shape

Từ đồng nghĩa

• two-dimensional figure