1. Bellringer
Solve for X

2. Parallel Lines and Proportional Parts
6-4

3. 6-4 Parallel Lines and Proportional Parts
Objectives
Use proportional parts of Triangles
Divide a Segment into parts

4. Triangle Proportionality Theorem

6. Clicker Check

8. Example 2 Determine Parallel Lines
In EFG, EG = 24, EH = 8, and LG is twice FL.
Determine whether parallel .

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

11. 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.

14. Congruent Segments
Find x and y