Common Geometry Equations

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Pythagorean Theorem

Back

Given a right triangle, this theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

Equation of Parallel Lines

Back

In a coordinate plane, two lines are parallel if they have the same slope. The equation of parallel lines can be written as y = mx + b, where m is the slope.

Front

Equation of Perpendicular Lines

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m, the perpendicular line will have a slope of -1/m. These slopes are called negative reciprocals.

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Area of a Rectangle

Back

The area of a rectangle is calculated by multiplying its length by its width. Formula: Area = length times width.

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Area of a Circle

Back

The area of a circle is calculated using the formula: Area = π × radius².

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Circumference of a Circle

Back

The circumference of a circle is the distance around it, calculated as Circumference =

2 (π) (radius).

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Perimeter of a Polygon

Back

The perimeter of a polygon is the total length of its sides. It is calculated by adding the lengths of all the sides.

Front

Distance Formula

Back

The distance formula is used to determine the distance between two points in a plane. It is derived from the Pythagorean theorem and is given by: Distance = √((x₂ - x₁)² + (y₂ - y₁)²).