Chapter10 - Polygons and Area Polygons and Area 10.1 10.1...

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Unformatted text preview: Polygons and Area Polygons and Area § 10.1 10.1 Naming Polygons Naming Polygons § 10.4 Areas of Triangles and Trapezoids 10.4 Areas of Triangles and Trapezoids § 10.3 10.3 Areas of Polygons Areas of Polygons § 10.2 10.2 Diagonals and Angle Measure Diagonals and Angle Measure § 10.6 Symmetry 10.6 Symmetry § 10.5 Areas of Regular Polygons 10.5 Areas of Regular Polygons § 10.7 Tessellations 10.7 Tessellations Naming Polygons Naming Polygons Yo u will le a rn to na m e po lyg o ns a c c o rding to the num b e r o f _____ a nd ______. 1) re g ula r po lyg o n 2) c o nve x 3) c o nc a ve s id e s a ng l e s Naming Polygons Naming Polygons A polygon is a _____________ in a plane formed by segments, called sides . c lo s e d fig ure A polygon is named by the number of its _____ or ______. s id e s a ng l e s A triangle is a polygon with three sides. The prefix ___ means three. tri Naming Polygons Naming Polygons Prefixes are also used to name other polygons. Prefix Number of Sides Name of Polygon tri- quadri- penta- hexa- hepta- octa- nona- deca- 3 4 5 6 7 8 9 10 tri angle quadri lateral penta gon hexa gon hepta gon octa gon nona gon deca gon Naming Polygons Naming Polygons U T S Q R P A ve rte x is the po int o f inte rs e c tio n o f two s ide s . A s e g m e nt who s e e ndpo ints are no nc o ns e c utive ve rtic e s is a diag o na l . C o ns e c utive ve rtic e s a re the two e ndpo ints o f a ny s ide . S ide s that s hare a ve rte x a re c alle d c o ns e c utive s ide s . Naming Polygons Naming Polygons An e q uila te ra l polygon has all _____ congruent. An e q uia ng ula r polygon has all ______ congruent. s ide s a ng le s A regular polygon is both ___________ and ___________. e q uila te ra l e q uia ng ula r e q uila te ra l b ut no t e q uia ng ula r e q uia ng ula r b ut no t e q uila te ra l re g ula r , b o th e q uila te ra l a nd e q uia ng ula r Investigation: As the number of sides of a series of regular polygons increases , what do you notice about the shape of the polygons? Naming Polygons Naming Polygons A polygon can also be classified as c o nve x or c o nc a ve . If a ll o f the dia g o na ls lie in the inte rio r o f the fig ure , the n the po lyg o n is ______. c o nve x If a ny pa rt o f a dia g o na l lie s o uts ide o f the fig ure , the n the po lyg o n is _______. c o nc a ve Naming Polygons Naming Polygons Diagonals and Angle Measure Diagonals and Angle Measure Yo u will le a rn to find m e a s ure s o f inte rio r a nd e xte rio r a ng le s o f po lyg o ns ....
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This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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Chapter10 - Polygons and Area Polygons and Area 10.1 10.1...

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