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Day 4 Polygon Properties.notebook 1 April 24, 2015 Properties of Polygons

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Page 1: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

1

April 24, 2015

Properties of Polygons

Page 2: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

2

April 24, 2015

Warm Up:Determine the value of y.

Page 3: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

3

April 24, 2015

Define the following terms using your textbook

1. Exterior Angle2. Midpoint3. Median (definition #2)4. Bimedian5. Midsegment

Page 4: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

1. Exterior Angle

2. Midpoint

3. Median (definition #2)

4. Bimedian

5. Midsegment

Page 5: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

Exterior Angles

Exterior Angles are formed when we place a polygon on a straight line.

     Exterior Angle (E.A.) = 180 ­ Interior Angle (I.A.)

Page 6: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

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.

Page 7: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

ExampleGiven a regular dodecagon (12 sides). What is the measure of one exterior angle?

Page 8: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

Polygon Properties

Draw a triangle and a quadrilateral on your page. Make them big enough so we can add labels.

Page 9: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

In a triangle...

The length of the midsegment is half the length of the parallel side.

Page 10: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

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

Page 11: Properties of Polygons - Weebly...1 April 24, 2015 Properties of Polygons Day 4 Polygon Properties.notebook 2 April 24, 2015 Warm Up: Determine the value of y. Day 4 Polygon Properties.notebook

Day 4 ­ Polygon Properties.notebook

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April 24, 2015

Homework

Handout #s 4 ­ 9