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Ast 4 W18.pdf - 1(10 points For the diagram below prove...

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1. (10 points) For the diagram below, prove that AF FB BD DC CE EA = - 1 . (Note: you are being asked to prove part of Menelaus’ Theorem, so you cannot use Menelaus’ Theorem in your proof!) (Do Not assume any of the given lines are parallel or perpendicular. Make sure to justify each of your steps!) A B C D E F Winter 2018 - MATH 241 - Assignment 4 - Due March 23 at 9:00 pm Page 1 of 5
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2. (10 points) In the diagram below AD , BE and CF are concurrent at G . Prove that AF FB BD DC CE EA = 1 . (Note: you are being asked to prove a part of Ceva’s Theorem, so you cannot use Ceva’s Theorem in your proof! Show and justify all your steps!) A B C D E F G Winter 2018 - MATH 241 - Assignment 4 - Due March 23 at 9:00 pm Page 2 of 5
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3. (10 points) In the diagram below BE bisects AEC , AB = CD = DG = 2, AG = 3 and DE = 5. Find each of the following lengths and explain your answer.
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