Quadrilateral Properties Flowchart

August 26, 2014 MathyNick Printables No comments

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

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