3-Geometry-Plane-Polygon-Kinds-Quadrilateral

quadrilateral

Figures {quadrilateral}| can have four sides. Quadrilaterals {cyclic quadrilateral} can have all four vertices on a circle.

area: parallelogram

Parallelogram area = b * a * sin(A), where a and b are side lengths and A is angle between them.

area: rectangle

Rectangle area = l*h, where l and h are side lengths.

area: rhombus

Rhombus area = s * s * sin(A), where s is side length and A is small angle.

area: square

Square area = s^2, where s is side length.

area: trapezoid

Trapezoid area = a * sin(A) * (b1 + b2) / 2, where a is vertical-side length, A is small angle between side and base, and b1 and b2 are bases. Trapezoid area = h * (b1 + b2) / 2, where h is height and b1 and b2 are bases.

perimeter: rectangle

Rectangle perimeter = 2*a + 2*b, where a and b are side lengths.

perimeter: rhombus

Rhombus perimeter = 4*s, where s is side length.

perimeter: square

Square perimeter = 4*s, where s is side length.

perimeter: trapezoid

Trapezoid perimeter = a + b + c + d, where a, b, c, d are side lengths.

perimeter: parallelogram

Parallelogram perimeter = 2*a + 2*b, where a and b are side lengths.

quadrangle

Figures {quadrangle}| can have four vertices. Quadrangles {simple quadrangle} can have four vertices and four lines, with no diagonals. Quadrangles {complete quadrangle} can have four points, four lines, and two diagonals.

kite

Diamond-shaped quadrilaterals {kite} can have two equal-side pairs and two equal-angle pairs. Diagonals are perpendicular.

parallelogram

Figures {parallelogram}| can have two pairs of equal, opposite, and parallel sides.

rectangle

Figures {rectangle} can have two pairs of equal and opposite sides at right angles.

rhombus

Figures {rhombus}| {rhom} can have four equal sides.

square figure

Figures {square figure} can have four equal sides at right angles.

trapezoid

Figures {trapezoid}| {trapezium} can have only one pair of parallel opposite sides.

skew quadrilateral

Quadrilaterals {skew quadrilateral} can have four points not in same plane.

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3-Geometry-Plane-Polygon-Kinds

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Date Modified: 2022.0225