## Geometry Final Formulas

##### Created by:

white_sara  on May 20, 2012

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# Geometry Final Formulas

 Rectangle Perimeter2(x)+2(y)
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#### Math / Symbols

Rectangle Perimeter 2(x)+2(y)
Square Perimeter
Circumference of a Circle C=dπ
Rectangle Area A=bh
Parallelogram Area A=bh
Triangle Area A=½bh
Trapezoid Area A=(b₁+b₂)h/2
Rhombus Area A=½d₁d₂
Circle Area A=πr²
Regular Polygon Area A=½aP
Area of sector πr²(m/360)
Area of segment A=(πr²(m/360))-(½bh)
Arc lengths L=2πr(m/360)
Pythagorean Theorem a²+b²=c²
Euler's Formula V-E+F=2
Length of a Diagonal of a Rectangular Prism √l²+w²+h²
Midpoint Formula in Three Dimensions ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)
Distance Formula in Three Dimensions d = √[( x₂ - x₁)² + (y₂ - y₁)²+(z₂ - z₁)]²
Reflections in The Cooordinate Plane Across the x-Axis (x,y)→(x,-y)
Reflections in The Cooordinate Plane Across the y-Axis (x,y)→(-x,y)
Reflections in The Cooordinate Plane Across the Line y=x (x,y)→(y,x)
Horizontal Translation Along Vector <a,0> (x,y)→(x+a,y)
Vertical Translation along vector <0,b> (x,y)→(x, y+b)
General Translation along vector <a,b> (x,y)→(x+a,y+b)
Rotations in the Coordinate Plane by 90˚ orgin (x,y)→(-y,x)
Rotations in the Coordinate Plane by 180˚ origin (x,y)→(-x,-y)

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