Geometry: An Interactive Journey to Mastery

 Lesson 5 Label the remaining side length x, as shown in Figure S.5.2.   (^36)  4      (^8) . x x x  ...

Solutions ,IWKHVLGHVRIWKHUHFWDQJOHFRPHLQDUDWLRWKHQWKHVLGHOHQJWKV are 4x and 3x for some value x, as shown in ...

Label x, the length of the diagonal at the base of the cube, as shown in Figure S.5.5. %\WKH3\WKDJRUHDQWKHRUHPIRUWKHWULDQ ...

Solutions &RQVLGHUDWULDQJOHZLWKVLGHOHQJWKVa, b, and c, as shown in Figure S.5.8. a + b + c = perimeter ,Ic is longer ...

D௘ͽ ͼ௘௘ͽ E௘ͽ ͼ௘௘ͽ F௘ͽ §· ̈ ̧©¹6,^19 . G௘ͽ §· ̈ ̧©¹ b D௘ͽ )URPaWRa, we have an increase of a. Another ...

 Solutions 6HWA ͼ௘௘ͽDQGB ͼ௘x௘ͽ:HZDQWAB  (^)          RU  RU  x x x x x     ...

 Let A ͼ௘௘ͽDQGB ͼ௘x, x௘ͽ:HQHHGAB                   833 81649 449 4 7 or ...

 Solutions D௘ͽ x ƒͼ௘8VHDOWHUQDWHLQWHULRUDQJOHVDQGWKHQYHUWLFDODQJOHV௘ͽ E௘ͽ x ƒͼ௘E\DOWHUQDWHLQWHULRU ...

 :HKDYHWKHIROORZLQJ x = 60 R S^2 x = 120 Figure S.7.6 6DPHVLGHLQWHULRUDQJOHVVXPPLQJWRƒJLYHVST RQ&. D௘ͽ % ...

 Solutions Lesson 8 i. b = c because vertical angles. ii. a = d because a = b, b = c, c = d from the givens and the previous ...

 i. Label the lengths a, b, x, y, z as shown in Figure S.8.2. ii. Triangles FUM and LUMDUHULJKWWULDQJOHVͼ௘ZLWKULJKWDQJ ...

 Solutions i. Label lengths as shown in Figure S.8.5/DEHOWKHƒDQJOHJLYHQ ii. a 1 = a because GT = GO. iii. xah yah ...

 YLL 6Rx y because x 1 = x and y 1 = y. viii. x = y because of algebra. ix. x 3 = x because of vertical angles ...

 Solutions 1RWLFHWKDWl DQGl ZLWKVFDOHIDFWRU%HFDXVHWKHWULDQJOHVVKDUHWKH DQJOHEHWZ ...

 D௘ͽ L /DEHOWKHGLDJUDPDVVKRZQLQFigure S.9.4. ii. ++PBQ~ ABCEHFDXVHRI6$6ͼ௘x and 3x, y and 3y, and share angle B௘ ...

Solutions Lesson 10 D௘ͽ 7KHUHLVQRUHDVRQWREHOLHYHWKDWWKHVHWULDQJOHVDUHVLPLODU E௘ͽ 0DUNFRQJUXHQWDOWHUQDWHLQWHULR ...

%\WKH3\WKDJRUHDQWKHRUHP   ^2222      SP PA    7KXVSA DQGWKHWULDQJOHLVLVRVFHOHV&RQVHTXH ...

Solutions L /DEHODQJOHVxyzwDVVKRZQLQFigure S.10.8 LL ++ABM~ CBMEHFDXVH666ͼ௘AB BCAM MCDQGVKDUHBM௘ͽ ...

L /DEHODQJOHVx 1 x 2 aDVVKRZQLQFigure S.10.11 LL ++ACD~ BCEEHFDXVH666 LLLx 1  x 2 EHFDXVHWKH\DUHPDWFK ...

Solutions 7KHOLQHZHVHHNSDVVHVWKURXJKͼ௘௘ͽDQGͼ௘í௘ͽDQGWKHUHIRUHKDVVORSH^84  7KHHTXDWLRQLVyx^8 7KD ...