Download - 8.1 Similar Polygons - WordPress.com
![Page 1: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/1.jpg)
Chapter8Similarity
8.1SimilarPolygonsRecall:Whatdoesitmeanfortwoormoreobjectstobesimilar?SpiralReview:DilatetriangleABC,! 0,0 , $ 0,3 , &(4,0)byascalefactoror2Whatdoyounoticeabouttheangles?Whatdoyounoticeaboutthesides?Example1:UsingSimilarityStatementsInthediagram∆+,-~∆/01,.
a) Findthescalefactorfrom∆+,-34∆/01.
b) Listallpairsofcongruentangles.
c) WritetheratiosofthecorrespondingsidelengthsTryonyourown:
![Page 2: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/2.jpg)
Example2:FindingaCorrespondingLengthInthediagram,∆567~∆89:.FindthevalueofxExample3:FindingaCorrespondingLength.Inthediagram,∆-:+~∆/:1FindthelengthofthealtitudePS.
AreaandPerimeterofSimilarFigures
ThinkbacktotheSpiralReviewproblem.
Whatistheperimeteroftheoriginalfigure?Whatistheperimeteroftheimage?Whatistheareaoftheoriginalfigure?Whatistheareaoftheimage?
Whatcanyouconclude?
![Page 3: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/3.jpg)
Example4:ModelingwithMathematicsBergenCommunityCollegeplanstobuildanewswimmingpool.AnOlympicpoolisrectangularwithalengthof50mandawidthof25m.ThenewpoolwillbesimilarinshapetoanOlympicpoolbutwillhavealengthof40m.FindtheperimetersofanOlympicpoolandthenewpool.Example5:FindingAreasofSimilarPolygonsInthediagram,∆!$&~∆56.Findtheareaof∆567
![Page 4: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/4.jpg)
Example6:DecidingWhetherPolygonsAreSimilar.DecidewhetherABCDEandKLQRParesimilar.Explainyourreasoning.Homework:3,5,7,10,12,13,16,19,20,25,26,27,28-34,51
![Page 5: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/5.jpg)
![Page 6: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/6.jpg)
![Page 7: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/7.jpg)
![Page 8: 8.1 Similar Polygons - WordPress.com](https://reader030.vdocuments.us/reader030/viewer/2022012502/617ba7f4ebfc2638b77778a5/html5/thumbnails/8.jpg)