Geometry: An Interactive Journey to Mastery

Solutions

9. 6HHFigure S.18.2)LUVWQRWLFHWKDWWKHOHIWPRVW
   WULDQJOHLVLVRVFHOHV7KXVLWKDVWZRDQJOHVHTXDO
   LQPHDVXUHKHUHPDUNHGDV 2 x
   7KHUHPDLQLQJDQJOHLQWKDWWULDQJOHLVíx
   DQGWKHDQJOHPDUNHGRIPHDVXUHxLQWKHGLDJUDP
   LVFRUUHFW
   1RZORRNDWWKHERWWRPOHIWDQJOH 2 x:HVHH
    WDQ§· ̈ ̧©¹DGMx RSS FRVVLQ^ x x 
   7KHERWWRPULJKWDQJOHLV 2 xEHFDXVHWKHUHDUHƒLQWKHODUJHWULDQJOH
   7KXVWKHUHLVDWKLUGDQJOHRIPHDVXUH 2 xDVVKRZQ,WLVSDUWRIDULJKWWULDQJOHZLWK
    WDQ§·©¹ ̈ ̧DGMx RSS FRVVLQ x^ x 


10. ͼ௘7KLVLVQ¶WSOHDVDQW௘ͽ

22 2 2

22

VLQ 22 FRV 22

 VLQ FRV FRV VLQ FRV FRV VLQ VLQ22 22 22 22

 VLQ FRV FRV 222222222222 VLQ FRV VLQ VLQ FRV FRV VLQ FRV VLQ

VLQ FRV FRV VLQ22 2 2 VLQ FR 2

xxyy

xxxxyy yy

xxy xxy yyx yyx

xx yy y

§·§· ̈ ̧ ̈ ̧

©¹©¹

§·§· ̈ ̧ ̈ ̧

©¹©¹

§· ̈ ̧©¹

§· ̈ ̧

©¹

V FRV VLQ22 2^22

VLQ FRV  VLQ FRV  22 22

VLQ FRV VLQ FRV 22 22

VLQ VLQ 

y xx

xx yy

xx yy

xy

§· ̈ ̧©¹

˜˜







1

1

x

2 x^2

x

2 x sin x^90  2 x

Figure S.18.2