CSE325 Computer Science and Sculpture Prof. George Hart 2. Polyhedra in Art + Sculpture A Historical View Polyhedra From Greek: poly =many + hedra =seats Singular: Polyhedron Def: 3D object bounded by flat surfaces Many types: Platonic solids Archimedean solids Convex / concave

ByAreas of Regular Polygons Lesson 11.5. Equilateral Triangle. Remember: drop an altitude and you create two 30-60-90 triangles. What is the measure of the sides and altitude in terms of one side equaling s ? Altitude = s √ 3 2. C. Given: ∆ CAT is equilateral, and TA = s

ByThe Shapes of Things. 4 th Grade Title 1 Students. Hexagon. This is a polygon with 6 sides. The hexagon has all sides the same or equal in length. All angles on the inside measure the same. It is a regular polygon. Trapezoid. This shape has 4 sides.

ByFolding Polygons From a Circle. A circle cut from a regular sheet of typing paper is a marvelous manipulative for the mathematics classroom. Instead of placing an emphasis on manipulating expressions and practicing algorithms, it provides a hands-on approach fro the visual and tactile learner. .

By6.1 Circles and Related Segments and Angles. Circle - set of all points in a plane that are a fixed distance from a given point (center). Radius – segment from the center to the edge of the circle. All radii of a circle are the same length.

By10-3 Areas of Regular Polygons. Parts of a Regular Polygon. center. radius. apothem. Theorem 10-6 Area of a Regular Polygon. Theorem 10-6 Area of a Regular Polygon. Theorem 10-6 Area of a Regular Polygon. Theorem 10-6 Area of a Regular Polygon. Theorem 10-6 Area of a Regular Polygon.

BySection 8.2 Pyramids, Area, & Volume. Pyramid. The solid figure formed by connecting a polygon with a point not in the plane of the polygon is called a pyramid. The polygonal region is called the base & the point is the vertex.

ByChapter 11. Area of Polygons and Circles. Chapter 11 Objectives. Calculate the sum of the interior angles of any polygon Calculate the area of any regular polygon Compare the perimeters of similar polygons Compare the areas of similar polygons Define circumference Calculate arc length

ByGeopardy. Margarita Perez Texas Woman’s University MATH 4313 mago0789@yahoo.com. How to Play. Divide the class into three groups and have each group choose one person who will answer questions on behalf of the whole group.

BySYMMETRY. SYMMETRY. REGULAR. IRREGULAR. Lines of Symmetry. TRUE?. FALSE?. Q. The number of lines of symmetry of a regular polygon is always the same as the number of edges. TRUE?. FALSE?. Q. Irregular polygons have no lines of symmetry. Lines of Symmetry. Regular or Irregular?.

ByGeo Scene It?. Somewhat like Disney’s Scene It?. Rules and Expectations. Divide room into two teams. Each team member will have a chance to answer a geometry review question. The team members who are competing will have buzzers. . Rules and Expectations.

BySection 8.1: Find Angle Measures in Polygons. Polygon. DEFINITION: closed plane figure formed by 3 or more line segments such that each segment intersects exactly 2 other segments only at endpoints. These figures are not polygons. These figures are polygons. Vertex.

ByPolygons---Terms. Geometry (Holt 6-1) K. Santos. Polygon. Polygon—enclosed figure --has at least 3 sides (segments) --sides only intersect at their endpoints --no adjacent sides are collinear --poly (many) gon (sides). Examples on Non-polygons.

ByPolygon Identification. Standard 4D. A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same measure. The sum of the angles of a polygon with n sides, where n is 3 or more, is 180° × (n - 2).

ByTessellations. *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular). Tessellations.

By2-D Figures. Mrs. Carter 4 th grade. Polygon. A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Q: Is this a polygon? Why or why not?. A: No… Polygons are closed figures. Q: Is this a polygon? Why or why not?. A: No…

ByArea of Regular polygons. Review. Regular polygons must be equilateral AND equiangular . A rhombus is an equilateral quadrilateral. A rectangle is an equiangular quadrilateral . But only a square is REGULAR quadrilateral!. angle measures of a regular polygon.

ByChapter 10: Area. Section 10-3: Areas of Regular Polygons. Objective:. To find the area of a regular polygon. Vocabulary. Radius of a Regular Polygon Apothem. Radius. The radius of a polygon is the distance from the center to a vertex. Apothem.

By11.3 Areas of Regular Polygons and Circles. What W e Will Learn. How to find areas of regular polygons. How to find areas of circles. What a apothem is. A pothem.

ByArea of a Regular Polygon. Section 11.6. Apothem of a polygon – Distance from the center to the middle of any side of a polygon. The apothem bisects the central angle.

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