Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

  1. D௘ͽ 'UDZDWD[LFDE³FLUFOH ́RIUDGLXVFHQWHUͼ௘௘ͽ
    E௘ͽ 'UDZDQRWKHUWD[LFDEFLUFOHWKDWLQWHUVHFWVWKLVFLUFOHDWMXVWRQHSRLQW
    F௘ͽ 'UDZDQRWKHUWD[LFDEFLUFOHWKDWLQWHUVHFWVWKH¿UVWFLUFOHLQH[DFWO\WZRSRLQWV
    G௘ͽ 'UDZ\HWDQRWKHUWD[LFDEFLUFOHWKDWLQWHUHVWVWKHRULJLQDOFLUFOHDWLQ¿QLWHO\PDQ\GLIIHUHQWSRLQWV

  2. Plot the points A ͼ௘௘ͽDQGB ͼ௘௘ͽDQGJUDSKall the points that are equidistant from A and B in
    WD[LFDEJHRPHWU\ͼ௘7KLVDQVZHULVH[FHSWLRQDOO\VXUSULVLQJ௘ͽ

  3. D௘ͽ 2QWKHIROORZLQJJULG¿QGDSRLQWP that is equidistant from each of A, B, and C.


E௘ͽ :KDWLVWKHUDGLXVRIWKHWD[LFDEFLUFOHWKDWSDVVHVWKURXJKHDFKRIWKHVHWKUHHSRLQWV"
F௘ͽ 'UDZWKHWD[LFDEFLUFOHWKDWSDVVHVWKURXJKHDFKRIWKHVHWKUHHSRLQWV

Problems

A


C


B


Figure 36.2
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