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AABC und \( \Delta \) DAC are two isosceles triangles on the same hase \( \mathrm { BC } \) and vertices A and Dare on the some sidep BC (see Fig. 7.39\( ) \). If AD is extended to intersect BC st P. show tha (i4) \( \triangle A B P \cong \triangle A C F \) (aii) AP Bisects \( \angle \mathrm { A } \) as well as \( \angle \mathrm { D } \) (iv) AP is the perpendicular bisector of \( \mathrm { BC } \). \( f i \)

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