Geometry: An Interactive Journey to Mastery

Solutions

4. $OLQHFRQQHFWLQJPLGSRLQWVLQDWULDQJOHLVKDOIWKHOHQJWKRIWKHEDVHRIWKHWULDQJOHͼ௘DQGSDUDOOHOWRLW௘ͽ
   D௘ͽ HB 2211 CG  DQGFD CG 
   E௘ͽ <HV7KH\DUHERWKSDUDOOHOWRCG


5. 9LDFRQJUXHQWFRUUHVSRQGLQJDQJOHVZHKDYHz ƒ$OVR
   ^10 1 2 3 4
   10 1 6 8

(^74)
xx
xx
x

 

 



DQG

 427 3

42721

 

 3 

yy

yy

y

y

 

 



6. (DFKVLGHRIWKHVPDOOWULDQJOHLVKDOIWKHOHQJWKRILWVPDWFKLQJVLGHLQWKHELJWULDQJOHͼ௘EHFDXVHWKH\DUH
   OLQHVFRQQHFWLQJPLGSRLQWVLQDWULDQJOH௘ͽ7KXVE\666WKHWZRWULDQJOHVDUHVLPLODUZLWKk 


7. L ++MAN~ BACEHFDXVH6$6ͼ௘VKDUH‘ADQG
   VLGHVDERXWLWDUHLQVDPHUDWLR௘ͽ
   LL k 8 EHFDXVHAM 8 AB
   LLL MN 8 BCEHFDXVHk  8 
   LY ‘#‘AMN ABCEHFDXVHPDWFKLQJDQJOHVLQ
   VLPLODUWULDQJOHV
   Y MN BC& EHFDXVH‘#‘AMN ABCJLYH
   FRQJUXHQWFRUUHVSRQGLQJDQJOHV

B

M

A

y

x

N

C

(^58) x 5
8 y
Figure S.13.2