Geometry: An Interactive Journey to Mastery

1. If A ͼ௘í௘ͽDQGB ͼ௘௘ͽ¿QGWKHFRRUGLQDWHVRIWKHSRLQWP on AB such that AP:PB = 3:5.


2. &RPSXWHWKHIROORZLQJ
   D௘ͽ ͼ௘i௘ͽͼ௘íi௘ͽ
   E௘ͽ ͼ௘i௘ͽíͼ௘íi௘ͽ
   F௘ͽ ͼ௘i௘ͽîͼ௘íi௘ͽ


3. :H¶YHVHHQKRZWRDGGVXEWUDFWDQGPXOWLSO\FRPSOH[QXPEHUV,VLWSRVVLEOHWRDOVRGLYLGHͼ௘QRQ]HUR௘ͽ
   complex numbers?
   D௘ͽ )LQGDFRPSOH[QXPEHUWKDWGHVHUYHVWREHFDOOHG³ 43 ^1 i ́ͼ௘7KDWLV¿QGDFRPSOH[QXPEHUa + ib
   VXFKWKDWͼ௘a + ib௘ͽͼ௘i௘ͽ ௘ͽ
   E௘ͽ :KDWFRPSOH[QXPEHULV^1 i?
   F௘ͽ )LQGDJHQHUDOIRUPXODIRUDFRPSOH[QXPEHUWKDWUHSUHVHQWVpiq^1  , for p and q real numbers, not
   both zero.


4. What is i^403?

Problems