PPT-[4.4] Similar Polygons

Are these parallelograms similar   These trapezoids are similar Find   Flags Definitions Polygon Corresponding Sides Corresponding Angles. In rendering complex 3D images it has to be done several thousand times Ef64257cient algorithms are therefore very important We present such an ef64257cient algorithm for clipping arbitrary 2D polygons The algorithm can handle arbitrary closed polyg 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.. Polygon. – a two-dimensional closed figure made of three or more line segments. 4.4 . Similar Polygons. Learning Outcome: To be able to identify, draw, and explain similar polygons and solve problems using the properties of similar polygons . 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. . 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.. Always email the . cs195utas@cs.brown.edu. alias rather than either of us directly for anything course-related. Better for TAs (know what’s going on, can discuss before responding). Better for you (faster response time).   WARM-UP . STRETCH. Today you will investigate a transformation called a . dilation.  that enlarges or reduces a figure while maintaining its shape.  After creating new enlarged polygons, you and your team will explore the relationships that exist among polygons that look alike but are different sizes. I can identify different types of polygons.. I can tell the properties of each type of polygon.. I can categorize quadrilaterals based on their properties.. Polygon Review. SRB 142. Notes and Definitions. 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 . 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