MathDB
A Rhombus

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February 8, 2009
geometryrhombusfunctionanalytic geometrygraphing linesslopesimilar triangles

Problem Statement

In a rhombus, ABCD ABCD, line segments are drawn within the rhombus, parallel to diagonal BD 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 A. The graph is: <spanclass=′latex−bold′>(A)</span> A straight line passing through the origin.<spanclass=′latex−bold′>(B)</span> A straight line cutting across the upper right quadrant.<spanclass=′latex−bold′>(C)</span> Two line segments forming an upright V.<spanclass=′latex−bold′>(D)</span> Two line segments forming an inverted V.<spanclass=′latex−bold′>(E)</span> None of these. <span class='latex-bold'>(A)</span>\ \text{A straight line passing through the origin.} \\ <span class='latex-bold'>(B)</span>\ \text{A straight line cutting across the upper right quadrant.} \\ <span class='latex-bold'>(C)</span>\ \text{Two line segments forming an upright V.} \\ <span class='latex-bold'>(D)</span>\ \text{Two line segments forming an inverted V.} \\ <span class='latex-bold'>(E)</span>\ \text{None of these.}
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