Geometry: An Interactive Journey to Mastery



Solutions

6. 6HWA ͼ௘௘ͽDQGB ͼ௘x௘ͽ:HZDQWAB 

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  RU 

RU 

x

x

x

x

x







 



6RB ͼ௘௘ͽDQGB ͼ௘í௘ͽERWKZRUN

7. D௘ͽ :HQHHG xy 
   E௘ͽ <HV6KHVLPSO\VTXDUHGERWKVLGHVRIWKLVHTXDWLRQ


8. D௘ͽ M ©¹§· ̈ ̧ ,8,1. ௘6HHFigure S.6.1௘
   E௘ͽ 7KHPLGSRLQWRIFM is^14 the way along FG.
   This is §· ̈ ̧©¹11 3,.
   The midpoint of MG is^34 the way along FG.
   This is §· ̈ ̧©¹ ,.


9. D௘ͽ 
   

  



44.

AB

BC

AC







 :HVHHWKDWAB = BC௘6HHFigure S.6.2௘

E௘ͽ M = midpoint of AB 6, 6.

N = midpoint of AC   

O = midpoint of BC 8, 4.

F௘ͽ MN  46  and ON  64 ͼ௘DQGMO ௘ͽ

 :HVHHWKDWMN = ON, so we have another isosceles triangle.

F M

G

Figure S.6.1

B A

C

Figure S.6.2