Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1


/HVVRQ%HJLQQLQJV²-DUJRQDQG8QGH¿QHG7HUPV



  1. Points ABDQGCDUHFROOLQHDUZLWKAB DQGAC *LYHWZRSRVVLEOHYDOXHVIRUBC.

  2. ,IABDQGMDUHSRLQWVZLWKAM = MBGRHVMQHHGWREHWKHPLGSRLQWRIAB"

  3. ,QWKHV)UHQFKVFKRODUVSURSRVHGDPHWULFPHDVXUHIRUDQJOHV$ULJKWDQJOHͼ௘DIXQGDPHQWDODQJOHLQ
    DUFKLWHFWXUHDQGHQJLQHHULQJ௘ͽZDVVHWWREHDVVLJQHGDPHDVXUHRI³JUDGLDQ ́
    D௘ͽ +RZPDQ\GHJUHHVLVJUDGLDQ"
    E௘ͽ +RZPDQ\JUDGLDQLVƒ"

  4. ,QWKHGLDJUDPLQFigure 2.5‘MNRKDVPHDVXUHƒ
    :KDWLVWKHYDOXHRIx"

  5. ,QWKHGLDJUDPLQFigure 2.6mASC‘ ƒ mFSO‘ ƒ
    and mEST‘ ƒ
    )LQGWKHIROORZLQJ
    D௘ͽ mFSI‘.
    E௘ͽ mFSU‘.
    F௘ͽ mCSE‘.
    G௘ͽ mTSI‘.
    H௘ͽ mUSC‘.


C


A E


T


I


O


U


F S


Figure 2.

M


N


R


2 xíy

íy + 3 x

2 y íx + 2

Figure 2.
Free download pdf