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polygons concave/convex vertex side diagonal n-gon regular polygon perimeter

1-4 Vocabulary. polygons concave/convex vertex side diagonal n-gon regular polygon perimeter area height .

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polygons concave/convex vertex side diagonal n-gon regular polygon perimeter

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  1. 1-4 Vocabulary polygons concave/convex vertex side diagonal n-gon regular polygon perimeter area height

  2. Each segment that forms a polygon is a side of the polygon. The common endpoint of two sides is a vertex of the polygon. A segment that connects any two nonconsecutive vertices is a diagonal.

  3. Remember! A polygon is a closed plane figure formed by three or more segments that intersect only at their endpoints. You can name a polygon by the number of its sides. The table shows the names of some common polygons.

  4. Example 1: Identifying Polygons Tell whether the figure is a polygon. If it is a polygon, name it by the number of sides. polygon, hexagon polygon, heptagon not a polygon

  5. All the sides are congruent in an equilateral polygon. All the angles are congruent in an equiangular polygon. A regular polygonis one that is both equilateral and equiangular. If a polygon is not regular, it is called irregular. A polygon is concave if any part of a diagonal contains points in the exterior of the polygon. If no diagonal contains points in the exterior, then the polygon is convex. A regular polygon is always convex.

  6. Example 2A: Classifying Polygons irregular, convex regular, convex irregular, concave regular, convex

  7. The perimeterP of a plane figure is the sum of the side lengths of the figure. The areaA of a plane figure is the number of non-overlapping square units of a given size that exactly cover the figure.

  8. The basebcan be any side of a triangle. The heighthis a segment from a vertex that forms a right angle with a line containing the base. The height may be a side of the triangle or in the interior or the exterior of the triangle.

  9. Remember! Perimeter is expressed in linear units, such as inches (in.) or meters (m). Area is expressed in square units, such as square centimeters (cm2).

  10. Lesson Quiz: Part I Find the area and perimeter of each figure. 1.2. 3.

  11. Lesson Quiz: Part II 1. Find the perimeter of polygon LMNP with coordinates L(1, 4) M(4, 0) N(2, 0) P(-1, -2) • Find the area of triangle ABC with A(-2,4), B(6,4) and C(0,8)

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