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Geometry Terms List

Geometry vocabulary is the foundation of every geometry course. Without knowing the precise meaning of terms like congruent, perpendicular, or supplementary, it is nearly impossible to follow proofs, solve problems, or communicate solutions clearly. This page collects the most important geometry terms and definitions in one place — from basic angle relationships and triangle properties to circles, polygons, area, and volume. Whether you are studying for a test, reviewing for the SAT, or just need a quick refresher, use this list as your go-to geometry vocabulary reference.

Key Concepts

Angle

An angle is the figure formed by two rays sharing a common endpoint (the vertex), measured in degrees or radians.

Congruent

Two figures are congruent if they have exactly the same shape and size, so one can be placed on top of the other with a perfect fit.

Parallel Lines

Parallel lines are lines in the same plane that never intersect, no matter how far they are extended in either direction.

Perpendicular Lines

Perpendicular lines are two lines that intersect to form a right angle (90 degrees).

Pythagorean Theorem

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse: a² + b² = c².

Area of a Triangle

The area of a triangle equals one-half the base times the height, giving the amount of two-dimensional space the triangle encloses.

Area of a Circle

The area of a circle is found using the formula A = πr², where r is the radius of the circle.

Volume

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

Similar Figures

Similar figures have the same shape but not necessarily the same size — their corresponding angles are equal and their corresponding sides are proportional.

Symmetry

Symmetry is a property of a figure that can be mapped onto itself by a reflection, rotation, or translation.

Supplementary Angles

Two angles are supplementary if their measures add up to 180 degrees; they often appear as a linear pair on a straight line.

Surface Area

Surface area is the total area of all the outer faces and curved surfaces of a three-dimensional solid, measured in square units.

All Geometry Terms List Terms (31)

Frequently Asked Questions

What are the most important geometry terms to know?
The most essential geometry terms include angle, congruent, similar, parallel, perpendicular, supplementary, complementary, the Pythagorean theorem, area, perimeter, volume, and surface area. These concepts appear repeatedly in proofs, standardized tests, and real-world applications.
How many geometry terms are there?
A typical high school geometry course introduces 100-200 vocabulary terms. Mathwords covers over 340 geometry-related terms, ranging from basic definitions like point and line to advanced topics like Euler's formula for polyhedra and non-Euclidean geometry.
What is the difference between congruent and similar in geometry?
Congruent figures have exactly the same shape and size — every corresponding side and angle matches. Similar figures have the same shape but can differ in size — their corresponding angles are equal and their corresponding sides are in proportion.

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