Geometry: An Interactive Journey to Mastery

Lesson 35: Complex Numbers in Geometry

5. )RXUVTXDUHVDUHGUDZQRQWKHVLGHVRIDTXDGULODWHUDO
   Let P 1 , P 2 , P 3 , and P 4 be the centers of those squares
   labeled in a clockwise order. Draw the segments
   ͼ௘6HHPP^13 and Figure 35.2PP^24 connecting opposite midpoints. ௘ͽ
   Prove that PP 13 and PP 24 DUHFRQJUXHQWͼ௘WKDWLVDUH
   WKHVDPHOHQJWK௘ͽDQGSHUSHQGLFXODUͼ௘WKDWLVOLHDWDQ
   DQJOHRIƒWRRQHDQRWKHU௘ͽ

P 1

P 4

P 3

P 2

Figure 35.2