Wednesday, 2 September 2015

Mathematical Reflections on Polygons

1. The common properties of polygons are that they always have straight lines, no curves, no intersections, has more than one side, and is 2D or it is not a polygons. Shapes that have/don't have these are non polygons.
Here are a few examples of what actual polygons look like:

no curves

straight edges

closed

no intersecting lines 

has more than one side

is 2D


Here are examples of non polygons - what they don't look like- :




curves

open

intersecting lines 

3D 




2. The measure of degrees in an angle tells me that the angle is straight, right, acute, or obtuse.
3. Some of the common angles are 90˚, 180˚, 30˚, 120˚, and 150˚.
4. Some strategies to estimate angle measures are about how close they are to 90˚ and 180˚.
5. To find accurate measurements with a protractor, I should line up the end of the vertex with the hole/zero line in the protractor to find the angle of one of the line in the polygon. Also it depends on if it's on the initial side or the terminal side.


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