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Transcript
Click the mouse button or press the Space Bar to display the answers. Objective Classify polygons and determine angle measure of polygons Vocabulary Polygon A simple closed figure in a plane formed by three or more line segments Vocabulary Pentagon A polygon having five sides Vocabulary Hexagon A polygon having six sides Vocabulary Octagon A polygon having eight sides Vocabulary Nonagon A polygon having nine sides Vocabulary Decagon A polygon having ten sides Vocabulary Regular polygon A polygon that has all sides congruent and all angles congruent Vocabulary Tessellation A repetitive pattern of polygons that fit together with no holes or gaps Vocabulary Polygon A simple closed figure in a plane formed by three or more line segments Example 1 Classify Polygons Example 2 Classify Polygons Example 3 Angle Measures of a Polygon Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: Not a polygon Has curved sides Figure has curved sides Does not meet the definition of a polygon 1/3 Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: pentagon, not regular because all sides are not congruent 1/3 Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: Hexagon Not regular because sides are not congruent Has 6 sides Sides are not congruent 2/3 Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why. Answer: not a polygon because sides overlap 2/3 ALGEBRA Find the measure of each angle of a regular heptagon. Round to the nearest hundredth of a degree. Draw a regular heptagon 1 2 3 4 5 1800 5 9000 Using only 1 vertex, draw a line to each of the other vertexes Count the triangles Remember: The sum of the angles of a triangle is 1800 Multiply number of triangles by 1800 3/3 ALGEBRA Find the measure of each angle of a regular heptagon. Round to the nearest hundredth of a degree. 2 Count number of angles in heptagon 3 1 4 7 6 Divide total degrees by number of angles 5 9000 7 Answer: 128.570 3/3 Find the measure of each angle in a regular hexagon. Answer: 120 3/3 Lesson 10:7 Assignment Polygons 8 - 25 All Using a protractor Draw a triangle with one angle 1200 and two angles 300 Cut the triangle out and make 5 copies to make 6 triangles Try to form a tessellation 4/4 PATTERNS Ms. Pena is creating a pattern on her wall. She wants to use triangles with angles 120, 30, and 30. Can Ms. Pena tessellate with these triangles? The sum of the measures of the angles where the vertices meet must be 360 Both 30 and 120 divide evenly into 360. Therefore, Ms. Pena can arrange the triangles in a way that the angles where the vertices meet make 360. She can tessellate with these triangles. 4/4 Check You can check if your answer is correct by drawing a tessellation of triangles with angles measuring 120°, 30°, and 30°. Answer: Yes, they can be arranged in a way that the angles where the vertices meet make 360. 4/4 * QUILTING Emily is making a quilt using fabric pieces shaped as equilateral triangles. Can Emily tessellate the quilt with these fabric pieces? Answer: Yes, they can be arranged in a way that the angles where the vertices meet make 360. 4/4 Using a protractor Draw a triangle with three angles 600 each (equilateral triangle) Cut the triangle out and make copies to make as many triangles as you need to form a tessellation 4/4