Geometry Formulas and Equations, Study notes of Geometry

A list of formulas and equations related to geometry, including coordinate geometry, linear equations, perimeter, surface area, volume, and right triangles. The formulas are presented in a concise and organized manner, making it a useful reference for students studying geometry. The document also includes the Pythagorean Theorem, which is a fundamental concept in geometry. The University of Texas at Austin is a US university that likely offers courses related to these topics.

Typology: Study notes

2021/2022

Uploaded on 05/11/2023

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Geometry 65503-65504
Formula Sheet
062816
University of Texas at Austin
UT High School
1
Coordinate Geometry
Distance Formula: Slope of a line:
12
1
2
xx
yy
m
=
Midpoint Formula: Slope-Intercept Form of an Equation: y = mx + b
Standard Form of a Linear Equation:
Ax + By = C Point-Slope Form of an Equation:
Perimeter and Circumference
Perimeter of a rectangle:
or P = 2(l + w) Circumference: C = 2πr or C = πd
Area
Surface Area
Rectangle or Parallelogram: A = bh
Prism: Lateral
PhSA =
Total
BPh
SA 2+=
Regular Polygon:
Cylinder: Lateral SA = 2πrh
Total
Triangle:
Trapezoid:
Pyramid: Lateral
PlSA 2
1
=
Total
BPlSA += 2
1
Circle:
Cone: Lateral SA = πrl
Total
Rhombus:
2
1
2
1d
dA =
Sphere: Total
Right Triangles
Prism or cylinder:
Pyramid or cone:
Sphere:
Pythagorean Theorem:

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Geometry 65503-

Formula Sheet

062816

University of Texas at Austin

UT High School

1

Coordinate Geometry

Distance Formula :

Slope of a line :

2 1

2 1

x x

y y m

Midpoint Formula : (^) Slope-Intercept Form of an Equation : y = mx + b

Standard Form of a Linear Equation :

Ax + By = C

Point-Slope Form of an Equation :

Perimeter and Circumference

Perimeter of a rectangle :

or P = 2( l + w )

Circumference : C = 2π r or C = π d

Area Surface Area

Rectangle or Parallelogram: A = bh

Prism: Lateral SA = Ph

Total SA = Ph + 2 B

Regular Polygon:

Cylinder: Lateral SA = 2π rh

Total

Triangle:

Trapezoid:

Pyramid: Lateral SA Pl 2

Total SA = Pl + B 2

Circle:

Cone: Lateral SA = π rl

Total

Rhombus: (^12)

2

A = dd Sphere: Total

Volume Right Triangles

Prism or cylinder:

Pyramid or cone:

Sphere:

Pythagorean Theorem: