Dao's blog: 2-Two triangle perpective theorem

Let $\triangle ABC$ and $\triangle A_1B_1C_1$ perpective at P. Define $AB_1$ meet $BA_1$ at $C_2$ , $BC_1$ meet $CB_1$ at $A_2$ , $CA_1$ meet $AC_1$ at $B_2$ . Prove that:

1- Two triangle $\triangle ABC$ , and $\triangle A_2B_2C_2$ are perpective at $D_1$ , Similar two triangle $\triangle A_1B_1C_1$ , and $\triangle A_2B_2C_2$ are perpective at $D_2$ ,

2- $P,D_1,D_2$ are collinear

Dao's blog

Đào Thanh Oai

Thứ Sáu, 12 tháng 9, 2014

2-Two triangle perpective theorem

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