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Transcript
Geometry Activity Polygon Angles PE 8.2C Triangle Angles - Use a protractor to measure interior angles 1, 2, and 3 in the triangle. This is an equilateral triangle so all three should be the same size. 1 Find the sum of angles 1, 2, and 3. Draw several other triangles and measure their interior angles and find their sum. 2 3 What conclusion can you make about the sum of interior angles of any triangle? Square Angles - Use a protractor to measure interior angles 1, 2, 3. and 4 in the square. Being a square all 4 angles should be the same size. Find the sum of the 4 angles. 1 4 2 3 Draw several other 4 sided polygons and measure their interior angles and find their sum. What conclusion can you make about the sum of interior angles of any 4 sided polygon? Pentagon Angles - Use a protractor to measure interior angles 1, 2, 3. 4 and 5 in the pentagon. Since it is a regular pentagon all 5 angles should be the same size. 1 Find the sum of the 5 angles. Draw several other 5 sided polygons and measure their interior angles and find their sum. 5 2 3 4 What conclusion can you make about the sum of interior angles of any 5 sided polygon? Geometry Activity Polygon Angles Hexagon Angles - Use a protractor to measure interior angles 1, 2, 3. 4, 5 and 6 in the hexagon. Since it is a regular hexagon angles should be the same size. 6 1 Find the sum of the 6 angles. 5 2 Draw several other 6 sided polygons and measure their interior angles and find their sum. 3 4 What conclusion can you make about the sum of interior angles of any 6 sided polygon? Regular Polygon Angles - Make a table and list the number of sides of a regular polygon, the measure of each interior angle and the sums of angles for regular triangles, squares, pentagons and hexagons. Without measuring the angles of a heptagon (7 sided polygon) predict the sum of its angles and the measure of each interior angle. Then measure a 7 sided polygons and see if you are correct. Use the polygons worksheet to help with this part of the activity. Do the same for an Octagon (8 sided polygon).. Continue to predict for Nonagons (9 sided) and Decagons (10 sided). Make a conjecture that would allow you to find the size and sum of the interior angles of any number sided regular polygon. Table Example: Polygon Sides Angle Measure 3 4 5 6 7 8 9 10 11 12 any Total