Question: Let A and B be two points belonging to a plane a and C a point not belonging to a. A line r intersects the

Let A and B be two points belonging to a plane a and C a point not belonging to a. A line r intersects the segment AC at P, the segment BC at Q and the plane a at R. Prove that the three points A, B and R are aligned. PLEASE NOT USE LINEAR ALGEBRA AND NOT USE VECTOR, ONLY EUCLIDEAN GEOMETRY IN THE SPACE

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