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Dive into the world of polygons, from triangles to octagons. Identify, explore, and classify different polygons and learn about their unique properties. Test your knowledge with interactive quizzes and examples.
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8-5 Classifying Polygons Course 2 Learn to identify and name polygons.
8-5 Classifying Polygons Course 2 Insert Lesson Title Here Vocabulary polygon regular polygon
8-5 Classifying Polygons Side Remember! Vertex Vertices is plural for vertex. Course 2 Triangles and rectangles are examples of polygons. A polygonis a closed plane figure formed by three or more line segments. Each line segment forms a sideof the polygon, and meets, but does not cross, another line segment at a common point. This common point is a vertex of a polygon. The polygon at left has six sides and six vertices.
8-5 Classifying Polygons Course 2 Additional Example 1: Identifying Polygons Determine whether each figure is a polygon. If it is not, explain why not. A. B. The figure is a polygon. It is a closed figure with 4 line segments. The figure is not a polygon. It is not a closed figure.
8-5 Classifying Polygons Course 2 Additional Example 1: Identifying Polygons Determine whether each figure is a polygon. If it is not, explain why not. C. D. The figure is not a polygon. The figure is not formed by line segments. The figure is not a polygon. There are line segments in the figure that intersect.
8-5 Classifying Polygons Course 2 Check It Out: Example 1 Determine whether each figure is a polygon. If it is not, explain why not. A. B. The figure is a polygon. It is a closed figure with 5 line segments. The figure is not a polygon. It is not a closed figure.
8-5 Classifying Polygons Course 2 Check It Out: Example 1 Determine whether each figure is a polygon. If it is not, explain why not. C. D. The figure is not a polygon. The figure is not formed by line segments. The figure is not a polygon. There are line segments in the figure that intersect.
8-5 Classifying Polygons Course 2 Polygons are classified by the number of sides and angles they have. Quadrilateral 4 sides 4 angles Pentagon 5 sides 5 angles Triangle 3 sides 3 angles Hexagon 6 sides 6 angles Heptagon 7 sides 7 angles Octagon 8 sides 8 angles Nonagon 9 sides 9 angles Decagon 10 sides 10 angles
8-5 Classifying Polygons Course 2 Additional Example 2: Classifying Polygons Name each polygon. A. B. Octagon Quadrilateral
8-5 Classifying Polygons Course 2 Insert Lesson Title Here Check It Out: Example 2 Name each polygon. B. A. Quadrilateral Pentagon
8-5 Classifying Polygons Course 2 Insert Lesson Title Here A regular polygon is a polygon in which all sides are congruent and all angles are congruent.
8-5 Classifying Polygons Course 2 Additional Example 3: Identifying and Classifying Regular Polygons Name each polygon and tell whether it is a regular polygon. If it is not, explain why not. B. A. The figure is a quadrilateral. It is not a regular polygon because all of the sides are not congruent. The figure is a regular quadrilateral. A regular quadrilateral is also called a square.
8-5 Classifying Polygons Course 2 Insert Lesson Title Here Check It Out: Example 3 Name each polygon and tell whether it is a regular polygon. If it is not, explain why not. B. A. The figure is a triangle. It is not a regular polygon because all sides and angles are not congruent. The figure is a regular triangle.
8-5 Classifying Polygons Course 2 Insert Lesson Title Here Lesson Quiz: Part I Determine whether each figure is a polygon. If it in not, explain why not. Name each polygon. 1. 2. 3. yes; pentagon no; open figure yes; octagon
8-5 Classifying Polygons Course 2 Insert Lesson Title Here Lesson Quiz: Part II Determine whether each figure is a polygon. If it in not, explain why not. Name each polygon. 4. 5. Tell whether each figure above is a regular t polygon. If it is not, explain why not. no; curved lines 1: No, all sides and angles are not congruent. 2, 4: No, they are not polygons. 3: Yes
