Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
5. Proportions in Triangles
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Exercise 40 Page 477

By the 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.

Are the Red Segments Parallel? Yes.
Example Explanantion: 45 = 45

Practice makes perfect

We are given a triangle and we want to determine whether the red segments are parallel.

By the 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. Let's check if the sides are divided proportionally. 12/15 ? = 16/20 We will simplify each ratio as much as possible to see if they are equivalent.
12/15 ? = 16/20
4/5 ? = 16/20
4/5 = 4/5
As we can see, the sides are divided proportionally. Therefore, the red segments are parallel.