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Day 4 Polygon Properties.notebook
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April 24, 2015
Properties of Polygons
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Warm Up:Determine the value of y.
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Define the following terms using your textbook
1. Exterior Angle2. Midpoint3. Median (definition #2)4. Bimedian5. Midsegment
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1. Exterior Angle
2. Midpoint
3. Median (definition #2)
4. Bimedian
5. Midsegment
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Exterior Angles
Exterior Angles are formed when we place a polygon on a straight line.
Exterior Angle (E.A.) = 180 Interior Angle (I.A.)
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Sum of the Exterior Angles
The sum of the exterior angles for any polygon is 360o.
In other words, if you add up all the angles outside the polygon you can arrange them to make a circle.
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ExampleGiven a regular dodecagon (12 sides). What is the measure of one exterior angle?
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Polygon Properties
Draw a triangle and a quadrilateral on your page. Make them big enough so we can add labels.
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In a triangle...
The length of the midsegment is half the length of the parallel side.
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In a trapezoid...
The length of the bimedian of the nonbase sides is parallel to the bases and its length can be calculated by
EF = AB + CD 2
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Homework
Handout #s 4 9