Difference between revisions of "1951 AHSME Problems/Problem 27"

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==Problem==
 
==Problem==
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Through a point inside a triangle, three lines are drawn from the vertices to the opposite sides forming six triangular sections. Then:
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<math> \textbf{(A)}\ \text{the triangles are similar in opposite pairs}\qquad\textbf{(B)}\ \text{the triangles are congruent in opposite pairs} </math>
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<math> \textbf{(C)}\ \text{the triangles are equal in area in opposite pairs}\qquad\textbf{(D)}\ \text{three similar quadrilaterals are formed} </math>
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<math> \textbf{(E)}\ \text{none of the above relations are true} </math>
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==Solution==
 
==Solution==
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{{Solution}}
  
 
== See Also ==
 
== See Also ==

Revision as of 14:59, 19 April 2014

Problem

Through a point inside a triangle, three lines are drawn from the vertices to the opposite sides forming six triangular sections. Then:

$\textbf{(A)}\ \text{the triangles are similar in opposite pairs}\qquad\textbf{(B)}\ \text{the triangles are congruent in opposite pairs}$ $\textbf{(C)}\ \text{the triangles are equal in area in opposite pairs}\qquad\textbf{(D)}\ \text{three similar quadrilaterals are formed}$ $\textbf{(E)}\ \text{none of the above relations are true}$

Solution

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See Also

1951 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 26
Followed by
Problem 28
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All AHSME Problems and Solutions

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