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    All Parallelograms Are Rectangles

    Result

    a parallelogram is not in general a rectangle

    Visual representation

    
(drawn with interior angle 60°, width 4, and height 3)

    Properties of parallelogram

    independent edge lengths | a | b
width | b
height | a sin(θ)
diagonal lengths | sqrt(a^2 + 2 a b cos(θ) + b^2) | sqrt(a^2 - 2 a b cos(θ) + b^2)
area | a b sin(θ)
perimeter | 2 (a + b)
independent interior angles | (θ rad | (π - θ) rad)≈(θ rad | (3.14159 - θ) rad)
interior angle sum | 360° = 2 π rad≈6.283 rad
(assuming center (x_0, y_0), interior angle θ rad, and edge lengths a, b)

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