Geometry: An Interactive Journey to Mastery

Lesson 6: Distance, Midpoints, and Folding Ties

8. Let F ͼ௘௘ͽDQGG ͼ௘í௘ͽ
   D௘ͽ )LQGWKHFRRUGLQDWHVRIWKHSRLQWKDOIZD\DORQJFG.ͼ௘7KDWLV¿QGWKHPLGSRLQWRIFG.௘ͽ
   E௘ͽ )LQGWKHFRRUGLQDWHVRIWKHSRLQWVWKDWDUHand^3 DORQJFG.


9. $WULDQJOHLVLVRVFHOHVLIDWOHDVWWZRRILWVVLGHVDUHWKHVDPHOHQJWK
   Let A ͼ௘௘ͽB ͼ௘௘ͽDQGC ͼ௘í௘ͽ
   D௘ͽ 8VHWKHGLVWDQFHIRUPXODWRVKRZWKDWWKHWULDQJOHIRUPHGE\WKHSRLQWVABDQGC is isosceles.
   E௘ͽ &RPSXWHWKHPLGSRLQWVRIWKHWKUHHVLGHVRIWKLVWULDQJOH
   F௘ͽ ,VWKHWULDQJOHIRUPHGE\WKHPLGSRLQWVDOVRLVRVFHOHV"


10. ,VWKHUHDSRLQWZLWKWKHVDPHxDQGyFRRUGLQDWHVWKDWLVDGLVWDQFHIURPWKHSRLQWͼ௘௘ͽ",IVRZKDWLV
    LW"ͼ௘$QGLVWKHUHPRUHWKDQRQHSRLQWZLWKWKLVSURSHUW\"௘ͽ