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Side-Splitter Theorem
Theorem 7-4: Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.
Corollary to Side-Splitter Theorem
Corollary to Theorem 7-4: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.
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ApplicationGiven that the edges of the panels of the sails are parallel, find the values of the variables.
MAPS In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in between city blocks. Find x.
Triangle-Angle-Bisector Theorem
Triangle-Angle-Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Triangle-Angle-Bisector Theorem
Find the value of x in the following figure.
Find the value of x in the following figure.