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Geometry

Geometry is the study of shapes, sizes, positions, and properties of space. It covers everything from basic angle relationships and triangle properties to circles, area, volume, and coordinate geometry. Whether you are working on proofs, calculating surface area, or exploring transformations, this page links to every geometry term on Mathwords.

Key Concepts

Area of a Kite

Area of a kite is half the product of its two diagonals. Because the diagonals of a kite are always perpendicular to ...

Kite

A kite is a quadrilateral that has two pairs of adjacent sides that are congruent. Its diagonals are perpendicular to...

Euler Line

The Euler line is the straight line that passes through a triangle's orthocenter, centroid, and circumcenter. For any...

arcsin

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Arcsin

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Inverse Sine

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

sin-1

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Sin-1

Inverse sine is the function that takes a ratio (between −1 and 1) and returns the angle whose sine equals that ratio...

Equation of a Line

Equation of a line is an algebraic equation whose solutions form a straight line when plotted on a coordinate plane. ...

Volume

Volume is the total amount of three-dimensional space enclosed within a solid figure. It is measured in cubic units, ...

Surface Area

Surface area is the total area of all the outer faces and curved surfaces of a three-dimensional solid. It is measure...

Graph of an Equation or Inequality

The graph of an equation or inequality is the visual picture formed by plotting every point whose coordinates satisfy...

All Geometry Terms (348)

Frequently Asked Questions

What is geometry?
Geometry is the branch of mathematics concerned with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids.
What is the difference between Euclidean and non-Euclidean geometry?
Euclidean geometry is based on flat surfaces where parallel lines never meet. Non-Euclidean geometries (like spherical or hyperbolic) relax this assumption, allowing for curved spaces where parallel lines can converge or diverge.
What are the most important geometry formulas?
Key formulas include: area of a triangle (½ × base × height), Pythagorean theorem (a² + b² = c²), circumference of a circle (2πr), area of a circle (πr²), and volume of common solids like cylinders (πr²h) and spheres (4/3 πr³).

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