Geometry: An Interactive Journey to Mastery



Proof
L /DEHOWKHJLYHQFRQJUXHQWDQJOHVxDQGODEHOWKHDQJOHw DVVKRZQLQFigure 3.7.
ii. mGxw‘ ƒEHFDXVHWKHDQJOHV
LQWKHWULDQJOHZLWKYHUWLFHVBBBBBBBBBBBBB
VXPWRƒ
iii. mLxw‘ ƒEHFDXVHWKHDQJOHV
LQWKHWULDQJOHZLWKYHUWLFHVBBBBBBBBBBBBB
VXPWRƒ
LY 7KXV BBBBBBBBBBBBB
BBBBBBBBBBBBB
mG
mL

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Y 6R‘#‘GL.

6. &RQVLGHUWKHGLDJUDPLQFigure 3.8.
   6XSSRVHWKDWmW‘ ƒ
   )LQGWKHPHDVXUHRIHDFKDQGHYHU\LQWHULRUDQJOHLQWKHGLDJUDP


7. ௘LMELVHFWV‘GLU.ͼ௘&DQ\RXGHGXFHZKDWLWPHDQVIRUDQDQJOHWREHELVHFWHGE\DOLQHVHJPHQW"௘ͽ
   ,ImG‘ ƒ and mU‘ ƒZKDWLVmMLU‘ "
   ͼ௘6HHFigure 3.9௘ͽ

Figure 3.7

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L M

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Figure 3.9

Figure 3.8

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