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Question

If through the angular points of a triangle, straight lines be drawn parallel to the sides, and if the intersections of these lines be joined to the opposite angular points of the triangle, show that the joining lines so obtained will meet in a point.

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Solution

from the figure
ABEF
quadrilateral ABEF forms an trapezium
diagnols of trapezium meets each other
The joining lines so obtained will meet in a point

1089008_642016_ans_1ec5c73fc07d4e0286909b0698457ff7.jpg

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