hw-7-7b-iii-solns - M B H F C F A Q C H F A F B Q B H F C F...

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Triangle Pair #3 Triangle Pair #2 Triangle Pair #1 HW #7B, Part III Solutions For the pair of right triangles AF C C and AF A C : a) See below. b) By the Common Hypotenuse Theorem applied to AF C C and AF A C, circle C( diam = AC ) contains the points A , F C , F A , and C. c) See below. d) This proves that { A, C, F A , F C } is a set of four concyclic points. For the pair of right triangles CF A H and CF B H : a) See below. b) By the Common Hypotenuse Theorem applied to CF A H and CF B H, circle C( diam = CH ) contains the points C, F A , H, and F B . c) See below. d) This proves that { C, H, F A , F B } is a set of four concyclic points. For the pair of right triangles BF A H and BF C H : a) See below. b) By the Common Hypotenuse Theorem applied to BF A H and BF C H, circle C( diam = BH ) contains the points B, F A , H, and F C . c) See below. d) This proves that { B, H, F A , F C } is a set of four concyclic points.
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Unformatted text preview: M B H F C F A Q C H F A F B Q B H F C F A C A B C A B C A B Triangle Pair #5 HW #7B, Part III Solutions (Continued) Triangle Pair #4 For the pair of right triangles CF B B and CF C B : a) See below. b) By the Common Hypotenuse Theorem applied to CF B B and CF C B, circle C( diam = CB ) contains the points C , F B , F C , and B. c) See below. d) This proves that { B, C, F B , F C } is a set of four concyclic points. For the pair of right triangles BF A A and BF B A : a) See below. b) By the Common Hypotenuse Theorem applied to BF A A and BF B A, circle C( diam = BA ) contains the points B , F A , F B , and A. c) See below. d) This proves that { A, B, F A , F B } is a set of four concyclic points. M A H F C F B M C H F A F B C A B C A B...
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This note was uploaded on 11/02/2010 for the course MATH modern geo taught by Professor Shirley during the Spring '10 term at University of Texas at Austin.

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hw-7-7b-iii-solns - M B H F C F A Q C H F A F B Q B H F C F...

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