Tuesday, March 25, 2014

Quirky Quads

The topic of quadrilaterals is pretty big, so it gets its own post. A quadrilateral is simply a four-sided polygon. Four sides. Four angles. And yes.... we're still talking about polygons! :)

It's important to note that the measure of the interior angles of a quadrilateral is 360°.

For example, this quadrilateral is a rectangle:
Each angle (a,b,c,d) is 90°.
90°+90°+90°+90°=360°

Does that make sense so far?

Unlike other polygons, quadrilaterals are put into a hierarchy. Here's a map to explain what I mean:


Although they are all 4-sided quadrilaterals, they are put into categories based on different properties. The kite has no pairs of parallel sides. The trapezoid has one pair of parallel sides. The parallelogram, rectangle, rhombus, and square all have two pairs of parallel sides. You should note that the rectangle and square are made up of right angles.

Once again, a video! 
Seriously, I highly recommend this guy!
 


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