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Bellringer Solve for X

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**Parallel Lines and Proportional Parts**

6-4

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**6-4 Parallel Lines and Proportional Parts**

Objectives Use proportional parts of Triangles Divide a Segment into parts

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**Triangle Proportionality Theorem**

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Clicker Check

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**Example 2 Determine Parallel Lines**

In EFG, EG = 24, EH = 8, and LG is twice FL. Determine whether parallel .

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Midsegment A midsegment of a triangle is a segment whose endpoints are the midpoints of two sides of the triangle.

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**Triangle Midsegment Theorem**

Theorem 6.6 A midsegment of a triangle is parallel to one side of the triangle, and its length is one-half the length of that side.

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Congruent Segments Find x and y

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6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.

6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.

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