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1951 AMC 12 Question 27

AMC12 · 1951 AMC 12

Question 27

Through a point inside a triangle, three lines are drawn from the vertices to the opposite sides, forming six triangular sections. Then:
  1. The triangles are similar in opposite pairs
  2. The triangles are congruent in opposite pairs
  3. The triangles are equal in area in opposite pairs
  4. Three similar quadrilaterals are formed
  5. None of the above relations is true