Polygons What are properties (rules) of the different types of Quadrilaterals?

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Presentation transcript:

Polygons What are properties (rules) of the different types of Quadrilaterals?

Polygons Interior Sum – the total of all the interior angles added together. Exterior Sum – the total of all the exterior angles added together.

Polygons Diagonal – A line drawn inside of the polygon from the vertex to a nonconsecutive vertex of the polygon. Regular Polygon – A polygon with equal angle and side measures.

Polygons The interior sum formula – n = the number of sides and angles Interior Sum = (n – 2) * 180 Exterior Sum of any polygon is 360 ALWAYS

Polygons Example 1; Find the interior and exterior sum of a triangle. Also, find the measurement of each angle in a regular triangle. A triangle has 3 sides/3 angles so to find the interior sum use the formula. Int. Sum = (3 – 2) * 180 = 180 You should know that all the angle of a triangle add to 180.

Polygons To find the exterior sum. All polygons have and exterior sum of 360. To find the measure of each angle in a regular triangle take the interior sum (180) and divide it by the number of angles (3). Each angle measure is 60.

Polygons Example 2; Find the interior and exterior sum of a hexagon. Also, find the measurement of each angle in a regular hexagon. A hexagon has 6 sides/6 angles so to find the interior sum use the formula. Int. Sum = (6 – 2) * 180 = 720 Every angle in a hexagon will add to 720.

Polygons To find the exterior sum. All polygons have and exterior sum of 360. To find the measure of each angle in a regular hexagon take the interior sum (720) and divide it by the number of angles (6). Each angle measure is 120.