Quadrilateral Properties Flowchart

I put this flowchart together years ago to help our students become familiar and identify quadrilaterals and their properties using side lengths and the slopes of the sides.  The information is usually gathered from a gridded Cartesian graph or sets of ordered pair vertices of the quadrilateral.

Click here for the Quadrilateral Properties Flowchart.pdf


 

Information Needed or to be Derived:

Points:
(x_1, y_1) \text{ and } (x_2, y_2)

Pythagorean Theorem:
\displaystyle c^2 = a^2 + b^2
\displaystyle \text{side length}=\sqrt{(\Delta x)^{2}+(\Delta y)^{2}}
\displaystyle \text{side length} = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Slope:
m=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}

More handy documents can be found on my Printables page!

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