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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.
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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: