Tag Archive for 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.

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