The triangle proportionality theorem states if a line parallel to one side of a triangle (or transversal) cuts through the other two sides of the triangle, the line divides these two sides proportionally. In the figure below, the transversal DE is parallel to the triangle side BC and intersects both AB and AC, which means it divides them proportionally.
The triangle proportionality theorem also applies if three or more lines are cut by a transversal. Let''s take a closer look.
In the figure below, two transversal lines intersect three parallel lines. These parallel lines separate the transversals into proportional parts:
In other words, if
Answer the following questions using the figure below:
a. If
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