Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

  1. D௘ͽ ͼ௘௘ͽ
    E௘ͽ ͼ௘௘ͽ
    F௘ͽ §· ̈ ̧©¹6,^19 .
    G௘ͽ §· ̈ ̧©¹ b

  2. D௘ͽ )URPaWRa, we have an increase of a. Another increase gives 3a.
     )URPWRZHKDYHDGHFUHDVHRI$QRWKHUGHFUHDVHRIJLYHVí
    This shows that B ͼ௘aí௘ͽ
    E௘ͽ :HQHHGx xx^34   which happens to be automatically true.
     :HDOVRQHHG9, xx which says that 18 = 3x + 3, yielding x 

  3. M ͼ௘௘ͽDQGAM    

  4. D௘ͽ AP  and BP 
    These are the same.
    E௘ͽ AQ    and QB   
    These are not the same. The point QLVQRWHTXLGLVWDQWIURPA and B.
    F௘ͽ AR  and BR   
    These are the same, and the point RLVHTXLGLVWDQW
    G௘ͽ ,IM ͼ௘k, k௘ͽWKHQAMkk     kk and
    BMkk     kk^
    These are the same, so AM = MB.

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