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Transcript
Regular Polygon Non-regular Polygon 1. Compare the two polygons shown above. Describe the difference between a regular polygon and a non-regular polygon? 2. What is the sum of the interior angles of any hexagon? 3. What is the measure of one interior angle of a regular hexagon? 4. If you know the sum of the interior angles of a regular polygon, how can you find the measure of one of the interior angles? 5. Use the information from Part 1 to complete the table below: Regular Polygon Interior angle sum Triangle 180o Quadrilateral 360o Pentagon Hexagon Heptagon Octagon Decagon Dodecagon n-gon Measure of one interior angle Conclusions: Write a formula to find each of the following: 1. The sum of the interior angles of any polygon. 2. The measure of one interior angle of a regular polygon. In Class Problems: 1. What is another name for a regular triangle? 2. What is another name for a regular quadrilateral? 3. Three angles of a quadrilateral measure 98 o, 75 o, 108 o. Find the measure of the fourth angle. 7. Each interior angle of a regular polygon measures 168 o. How many sides does the polygon have? 8. What is the sum of the interior angles of the polygon above? 9. Is the sum of the interior angles of a convex polygon the same as a nonconvex polygon? Explain or show an example to justify your answer. Nonconvex polygon Convex polygon