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NAMING POLYGONS

POLYGONS. NAMING POLYGONS. POLYGONS. Let's Discuss. What does the word “polygon” mean?. What is the smallest number of sides a polygon can have?. What is the largest number of sides a polygon can have?. POLYGONS. Triangle. Octagon. Quadrilateral. Nonagon. Pentagon. Decagon.

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NAMING POLYGONS

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  1. POLYGONS NAMING POLYGONS EQ: How do I find the measure of an interior & exterior angle of a polygon?

  2. POLYGONS Let's Discuss What does the word “polygon” mean? What is the smallest number of sides a polygon can have? What is the largest number of sides a polygon can have? EQ: How do I find the measure of an interior & exterior angle of a polygon?

  3. POLYGONS Triangle Octagon Quadrilateral Nonagon Pentagon Decagon Dodecagon Hexagon n-gon Heptagon EQ: How do I find the measure of an interior & exterior angle of a polygon?

  4. A VERTEX is the point of intersection of two sides CONSECUTIVE VERTICESare two endpoints of any side. A B F C A segment whose endpoints are two nonconsecutive vertices is called a DIAGONAL. Sides that share a vertex are called CONSECUTIVE SIDES. E D POLYGONS Important Terms EQ: How do I find the measure of an interior & exterior angle of a polygon?

  5. POLYGONS More Important Terms EQUILATERAL - All sides are congruent EQUIANGULAR - All angles are congruent REGULAR - All sides and angles are congruent EQ: How do I find the measure of an interior & exterior angle of a polygon?

  6. POLYGONS Diagonals & Angle Measures EQ: How do I find the measure of an interior & exterior angle of a polygon?

  7. REVIEW: POLYGONS What is the sum of the measures of the interior angles of a triangle? 180° 180° 180° What is the sum of the measures of the interior angles of any quadrilateral? 360° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  8. POLYGONS If a convex polygon has n sides, then the sum of the measure of the interior angles is (n-2)(180°) EQ: How do I find the measure of an interior & exterior angle of a polygon?

  9. POLYGONS Ex. 1 Use the regular pentagon to answer the questions. • Find the sum of the measures of the interior angles. • Find the measure of ONE interior angle 540° 108° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  10. Interior Angles Exterior Angles POLYGONS Two more important terms EQ: How do I find the measure of an interior & exterior angle of a polygon?

  11. 2 1 3 5 4 POLYGONS If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. EQ: How do I find the measure of an interior & exterior angle of a polygon?

  12. POLYGONS If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 3 2 EQ: How do I find the measure of an interior & exterior angle of a polygon?

  13. POLYGONS Ex. 2 Find the measure of ONE exterior angle of a regular hexagon. 60° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  14. POLYGONS Ex. 3 Find the measure of ONE exterior angle of a regular heptagon. 51.4° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  15. POLYGONS Ex. 4 The sum of the measures of five interior angles of a hexagon is 535. What is the measure of the sixth angle? 185° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  16. POLYGONS Ex. 5 The measure of the exterior angle of a quadrilateral are x, 3x, 5x, and 3x. Find the measure of each angle. 30°, 90°, 150°, and 30° EQ: How do I find the measure of an interior & exterior angle of a polygon?

  17. POLYGONS Ex. 6 The sum of the interior angles of a polygon is 720. Find the number of sides. n = 6 EQ: How do I find the measure of an interior & exterior angle of a polygon?

  18. POLYGONS Homework: Page 300 # 1-21 EQ: How do I find the measure of an interior & exterior angle of a polygon?

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