Perimeters, Areas and Volumes in Geometry

-The area of a trapezoid follows the Area-addition postulate.

-It is the sum of the area of two Triangles.

Area of Quadrilaterals with perpendicular diagonals $d_{1}$ and $d_{2}$

The Area of a Rhombus of diagonals have lengths $d_{1}$ and $d_{2}$

The Area of a Kite of diagonals have lengths $d_{1}$ and $d_{2}$

THEOREM:

The ratio of the areas of two similar triangles equals the square of the ratio of the lengths of any two corresponding sides:

$\frac{A_{1}}{A_{2}}=(\frac{a_{1}}{a_{2}})^{2}$

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