A-5: Patterns in Polygons

A-5 deals with patterns found in POLYGONS, which are two-dimensional (or “plane”) closed figures consisting of line segments (or lines) as sides.  Triangles are polygons.  So are quadrilaterals, pentagons, etc.  Circles are not.

Guided Practice:

Each question in Guided Practice has a walk-through of the solution.  Command-Click the “help” button to open the walk-through in a new window.

1.  Find the sum (total) of the interior angles of a 40-sided polygon (40-gon)

Screen Shot 2014-06-03 at 10.20.37 AM

2.  Find the measure of each angle of a regular 90-gon.  (NOTE:  A regular polygon is a polygon where every side has the same length and every angle has the same measure)

Screen Shot 2014-06-03 at 10.20.37 AM

3.   Find the measure of each exterior angle of a regular 45-gon.  (NOTE:  An exterior angle is the difference between 180 degrees and an interior angle.  Basically, what makes up a straight line with the interior angle)

Screen Shot 2014-06-03 at 10.20.37 AM

Practice Problems:

Screen Shot 2014-06-04 at 9.00.44 AM

Answer Key

 

Use what you know about interior angles to examine tessellations here! (USE THIS LINK IN CLASS)

Make your own Quadrilateral Tessellations here!

Make your own Hexagonal Tessellations here!

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