Geometry All Geometry Formulas And Equations Cheat Sheet

Geometry is a branch of mathematics that deals with the relationships between points, lines, angles, and shapes. It is a fundamental subject in many fields, including architecture, engineering, and computer science.

Geometry: All Geometry Formulas and Equations Cheat Sheet

by Cheater John

5 out of 5

Language	:	English
File size	:	2934 KB
Screen Reader	:	Supported
Print length	:	4 pages
Lending	:	Enabled
Paperback	:	54 pages
Item Weight	:	5.4 ounces
Dimensions	:	8.5 x 0.13 x 11 inches
X-Ray for textbooks	:	Enabled

FREE

This cheat sheet provides a comprehensive list of all the geometry formulas and equations you need to know. It is a valuable resource for students, teachers, and professionals alike.

Table of Contents

• Basic Geometry
• Triangles
• Quadrilaterals
• Circles
• Three-Dimensional Geometry

Basic Geometry

The following formulas and equations are fundamental to geometry.

• Distance between two points: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
• Slope of a line: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$
• Equation of a line: $$y = mx + b$$
• Area of a rectangle: $$A = lw$$
• Area of a triangle: $$A = \frac{1}{2}bh$$
• Area of a circle: $$A = \pi r^2$$
• Volume of a cube: $$V = s^3$$
• Volume of a sphere: $$V = \frac{4}{3}\pi r^3$$

Triangles

Triangles are three-sided polygons. The following formulas and equations are specific to triangles.

• Perimeter of a triangle: $$P = a + b + c$$
• Area of a triangle: $$A = \frac{1}{2}bh$$
• Pythagorean theorem: $$a^2 + b^2 = c^2$$
• Sine rule: $$\frac{a}{\sin A}= \frac{b}{\sin B}= \frac{c}{\sin C}$$
• Cosine rule: $$c^2 = a^2 + b^2 - 2ab\cos C$$

Quadrilaterals

Quadrilaterals are four-sided polygons. The following formulas and equations are specific to quadrilaterals.

• Perimeter of a quadrilateral: $$P = a + b + c + d$$
• Area of a rectangle: $$A = lw$$
• Area of a parallelogram: $$A = bh$$
• Area of a trapezoid: $$A = \frac{1}{2}(b_1 + b_2)h$$

Circles

Circles are closed curves that lie in a plane. The following formulas and equations are specific to circles.

• Circumference of a circle: $$C = 2\pi r$$
• Area of a circle: $$A = \pi r^2$$
• Equation of a circle: $$(x - h)^2 + (y - k)^2 = r^2$$

Three-Dimensional Geometry

Three-dimensional geometry is the study of shapes that exist in three dimensions. The following formulas and equations are specific to three-dimensional geometry.

• Volume of a cube: $$V = s^3$$
• Volume of a prism: $$V = Bh$$
• Volume of a pyramid: $$V = \frac{1}{3}Bh$$
• Volume of a sphere: $$V = \frac{4}{3}\pi r^3$$
• Surface area of a cube: $$A = 6s^2$$
• Surface area of a prism: $$A = 2(lw + lh + wh)$$
• Surface area of a pyramid: $$A = Bh + \frac{1}{2}Pl$$
• Surface area of a sphere: $$A = 4\pi r^2$$

This cheat sheet provides a comprehensive list of all the geometry formulas and equations you need to know. It is a valuable resource for students, teachers, and professionals alike.

If you are looking for a more in-depth review of geometry, I recommend checking out the following resources:

• Khan Academy Geometry
• IXL Geometry
• Education.com Geometry

Geometry: All Geometry Formulas and Equations Cheat Sheet

by Cheater John

5 out of 5

Language	:	English
File size	:	2934 KB
Screen Reader	:	Supported
Print length	:	4 pages
Lending	:	Enabled
Paperback	:	54 pages
Item Weight	:	5.4 ounces
Dimensions	:	8.5 x 0.13 x 11 inches
X-Ray for textbooks	:	Enabled

FREE