Geometry: An Interactive Journey to Mastery



Solutions

K௘ͽ ‘SUG and ‘GUDIRUH[DPSOHͼ௘5HFDOOWKHGH¿QLWLRQRI³VXSSOHPHQWDU\ ́IURP([DPSOH௘ͽ

L௘ͽ ‘SUE and ‘EUDͼ௘:HPXVWKDYHWZRƒDQJOHV௘ͽ

Lesson 3

1. :HKDYHy + y ƒVRy ƒJLYLQJy 
   %HFDXVHWKHLQWHULRUDQJOHVRIDIRXUVLGHGVKDSHVXPWRƒZHKDYHWKHIROORZLQJ
     
     
   
   

xxy

xx

x

x





2. &DOOWKHPHDVXUHVRIWKHWZRUHPDLQLQJDQJOHVLQWKHWULDQJOHx and y:HKDYHx + y VRx + y =
   ,Ix WKHQZHPXVWKDYHy !
   7KHWKLUGDQJOHLVJUHDWHUWKDQƒLQPHDVXUHDQGLWLVDOVROHVVWKDQƒ


3. /RRNIRUVXPVRIƒLQGLIIHUHQWWULDQJOHVZLWKLQHDFKSLFWXUH
   D௘ͽ x VRx 
    ͼ௘x + y௘ͽ VRx + y DQGWKXVy 
   E௘ͽ x VRx 
    ͼ௘íy௘ͽ JLYLQJy 
   F௘ͽ y VRy 
    /RRNDWWKHIRXUVLGHG¿JXUHxy 7KLVJLYHVx