4. Consider the figure below with complete quadrangles PQRS and PQ2RS such that the following points...
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4. Consider the figure below with complete quadrangles P₁Q₁R₁S₁ and P₂Q2R₂S₂ such that the following points are on a line o. A A = P₁Q₁ P₂Q2 G = Q₁R₁ Q₂R2 . . S2 D = P₁R₁ P₂R₂ F = R₁ S₁ • R₂S₂ Let E = Q₁S₁ • Q2S₂. Also, let a be the line containing S₁, S₂ and O, b be the line containing P₁, P₂ and O, c be the line containing Q₁, Q₂ and O, and d be the line containing R₁, R₂ and O. S₁ Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P₂ . B R₁ B = P₁S₁ • P₂S₂ . a Q₂ R₂ E 4. Consider the figure below with complete quadrangles P₁Q₁R₁S₁ and P₂Q2R₂S₂ such that the following points are on a line o. A A = P₁Q₁ P₂Q2 G = Q₁R₁ Q₂R2 . . S2 D = P₁R₁ P₂R₂ F = R₁S₁ •R₂S₂ Let E = Q₁S₁ • Q2S₂. Also, let a be the line containing S₁, S₂ and O, b be the line containing P₁, P₂ and O, c be the line containing Q₁, Q₂ and O, and d be the line containing R₁, R₂ and O. S₁ Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P₂ . B R₁ B = P₁S₁P₂S₂ a Q₂ R₂ E 4. Consider the figure below with complete quadrangles P₁Q₁R₁S₁ and P₂Q2R₂S₂ such that the following points are on a line o. A A = P₁Q₁ P₂Q2 G = Q₁R₁ Q₂R2 . . S2 D = P₁R₁ P₂R₂ F = R₁ S₁ • R₂S₂ Let E = Q₁S₁ • Q2S₂. Also, let a be the line containing S₁, S₂ and O, b be the line containing P₁, P₂ and O, c be the line containing Q₁, Q₂ and O, and d be the line containing R₁, R₂ and O. S₁ Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P₂ . B R₁ B = P₁S₁ • P₂S₂ . a Q₂ R₂ E 4. Consider the figure below with complete quadrangles P₁Q₁R₁S₁ and P₂Q2R₂S₂ such that the following points are on a line o. A A = P₁Q₁ P₂Q2 G = Q₁R₁ Q₂R2 . . S2 D = P₁R₁ P₂R₂ F = R₁S₁ •R₂S₂ Let E = Q₁S₁ • Q2S₂. Also, let a be the line containing S₁, S₂ and O, b be the line containing P₁, P₂ and O, c be the line containing Q₁, Q₂ and O, and d be the line containing R₁, R₂ and O. S₁ Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P₂ . B R₁ B = P₁S₁P₂S₂ a Q₂ R₂ E
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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