Triangles A1B1C1 and A2B2C2 are given. Let C1D1 and C2D2 be segments of angle bisectors inside the triangles and C1E1 and C2E2 the heights of triangles A1B1C1 and A2B2C2, respectively. Are given triangles congruent if C1D1 = C2D2, C1E1 = C2E2 and angle C1A1B1 = angle C2A2B2?
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