PPT-Similar Polygons

What are similar polygons Two polygons are similar if corresponding matching angles are congruent and the lengths of corresponding sides are proportional Congruent Figures In order to be congruent two figures must be the same size and same shape. Information. Systems. Using. ESRI . ArcGIS. 9.3. Editing . Graphic. . Features. EDITING. Start Editing. EDITING. Editor. . activated. EDITING. Select. the . layer. . you. . want. . to. . edit. Lasse Deleuran. PhD student. Content. Motivation. Our . Results. Restricted simplification. Unrestricted simplification. Simplifying . massive . data. Motivation – Contour Lines. Motivation – Contour Lines. BUILDING POLYGONS. We use line segments to build polygons. . A polygon is a closed shape with straight sides.. POLYGON. NOT A POLYGON. POLYGONS. POLYGONS. Polygons may also be called 2D shapes or PLANE FIGURES. . Are these parallelograms similar?. .  . These trapezoids are similar.. Find . .  . Flags. Definitions. Polygon:. Corresponding . Sides:. Corresponding Angles:. I can identify regular and not regular polygons and find the angle measurements of regular polygons. Review. The lengths of three sides of a triangle are given. Classify the triangle.. 1.. 12, 12, 12. Warm Up. 1.. . If . ∆. QRS.  . ∆. ZYX. , identify the pairs of congruent angles and the pairs of congruent sides.. Solve each proportion.. 2.. . 3.. . . x . = 9. x . = 18. . Q. Severe Thunderstorm Warnings:. Can we do better…and do we want to?. Eric . Lenning. . and Ben . Deubelbeiss. . NWS Chicago. 2014 GLOMW. Motivation. Goal:. An increased . understanding of . the types of severe . M.C. Escher. Similar Polygons. Figures that are . similar. . (~) have the same shape but not necessarily the same size.. Similar figures look alike but one is a smaller. version of the other. . It wouldn’t make much sense to make a drawing . . UMI: July 13, 2016. Simple: does not intersect itself. Closed: Curve can be drawn starting and stopping at the same point.. Segment: Straight line. Polygons. .. Polygons. are simple closed curves with sides that are only segments. . Csaba. . Tóth. , . Godfried. Toussaint, and . Andrew Winslow. Klee’s Art Gallery Problem. Victor Klee (1973): How many guards . are needed to see the entire floor plan?. Consider the floor plan of an art gallery, and point. . Presented by: . Bhavna. . Agarwal. The problem.... Given a bunch of 3D objects predefined in . x,y,z. ; order them in geometry. Do Something. A wireframe model. . Things we need not render. Polygon: A closed plane figure with 3 or more sides (line segments) that intersect only at the endpoints.. Vertex: Each endpoint of a side of a polygon.. Convex Polygon: A polygon such that . no line. Classifying Polygons. Students . will be able . to:. Identify the 2-dimensional shapes based on their properties.. Key Vocabulary. Polygons. Triangles. Quadrilaterals. Pentagons and Hexagons. Other Polygons. Similar Figures Similar Similar figures have the same shape, but not necessarily the same size. Similar Polygons 14 m 7m 60° 60° The ratio formed by the sides is the scale factor : 14m = 2m