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1954 AMC 12 Question 45

AMC12 · 1954 AMC 12

Question 45

In a rhombus $ABCD,$ line segments are drawn within the rhombus, parallel to diagonal $\overline{BD},$ and terminated in the sides of the rhombus. A graph is drawn showing the length of a segment as a function of its distance from vertex $A.$ The graph is:
  1. a straight line passing through the origin.
  2. a straight line cutting across the upper right quadrant.
  3. two line segments forming an upright $V.$
  4. two line segments forming an inverted
    $V.$
  5. none of these.