Question: 4. Consider the figure below with complete quadrangles PQRS and PQ2RS such that the following points are on a line o. A A =

4. Consider the figure below with complete quadrangles PQRS and PQ2RS such that the following points are on a

4. Consider the figure below with complete quadrangles PQRS and PQ2RS such that the following points are on a line o. A A = PQ PQ2 G = QR QR2 . . S2 D = PR PR F = R S RS Let E = QS Q2S. Also, let a be the line containing S, S and O, b be the line containing P, P and O, c be the line containing Q, Q and O, and d be the line containing R, R and O. S Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P . B R B = PS PS . a Q R E 4. Consider the figure below with complete quadrangles PQRS and PQ2RS such that the following points are on a line o. A A = PQ PQ2 G = QR QR2 . . S2 D = PR PR F = RS RS Let E = QS Q2S. Also, let a be the line containing S, S and O, b be the line containing P, P and O, c be the line containing Q, Q and O, and d be the line containing R, R and O. S Use perspective triangles to prove that E lies on line o. Present your proof in a 2-column proof (Statement-Reason). (20 points) P . B R B = PSPS a Q R E

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