Proportional Segments Between Parallel Lines - Concept

Concept Concept (1)

When a line is drawn parallel to one side in a triangle, two similar triangles are formed because corresponding angles yield the AA similarity shortcut. Because the triangles are similar, the segments formed by the parallel line are proportional segments. When finding one of the bases of the triangles, be careful in setting up the proportion since the ratio is equal to the small triangle's side to the large triangle's.

Sample Sample Problems (2)

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Proportional Segments Between Parallel Lines - Problem 1
Problem 1
How to find a missing length in a triangle cut by a line parallel to a base.
Proportional Segments Between Parallel Lines - Problem 2
Problem 2
How to find missing lengths created by two parallel lines passing through a triangle.