Geometry Guided Notes 6 1 Angles Of Polygons By Heather Conley Polygons. 6.1 angles of. that connects outside of the polygon. polygon is when there is a diagonal. concave. connect inside the polygon. polygon is when all of the diagonals. convex. polygon names. Notes 6 1: properties and attributes of polygons objectives: 1. classify polygons based on their sides and angles. 2. find and use the measures of interior and exterior angles of polygons. the parts of a polygon are named on the quadrilateral below. you can name a polygon by the number of its sides. a polygon has all sides congruent.
Ppt 6 1 Angles Of Polygons N Powerpoint Exterior angle sum theorem: the sum of the exterior angles of any polygon is 360 . proof of the exterior angle sum theorem given: any n gon with n sides, n interior angles and n exterior angles. prove: n exterior angles add up to 360 note: the interior angles are x 1;x 2;:::x n. the exterior angles are y 1;y 2;:::y n. table 6.2: statement reason 1. What is the measure of each interior angle? 6. a regular polygon has interior angles of 135°. how many sides does it have? 7. a regular polygon has 12 sides. what is the measure of each exterior angle? 8. the sum of the interior angles of a polygon is 6 times the sum of the exterior angles. Each linear pair adds to 180º for a total of n • 180º or 180 n degrees around the polygon. 4. we have already shown that the formula for the sum of the interior angles of a polygon with n sides is 180 (n 2). 5. from the sum of all linear pairs (180 n), subtract the sum of the interior angles (the formula). 6.1.2: find and use the measures of interior and exterior angles of polygons. learning goals – lesson 6.1 each segment that forms a polygon is a of a polygon. the common endpoint of two sides is a of a polygon. a segment that connects any two nonconsecutive vertices is a . a polygon is a closed plane figure formed by three or.
The Key To Understanding The Angles Of Polygons 6 1 In Depth Explanations Example 3 identifying regular polygons theorem 6.1: interior angles of a quadrilateral the sum of the measures of the interior angles of a quadrilateral is 360 !. ma1 " ma2 " ma3 " ma4 # 360 ! 1 4 3 2 lesson 6.1 • geometry notetaking guide 119 mtgnt 06 trans wk bk 9 29 03 3:22 pm page 119. Scroll down the page for more examples and solutions on the interior angles of a polygon. example: find the sum of the interior angles of a heptagon (7 sided) solution: step 1: write down the formula (n 2) × 180°. step 2: plug in the values to get (7 2) × 180° = 5 × 180° = 900°. answer: the sum of the interior angles of a heptagon (7.
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