1. 5-1 Midsegments of Triangles

2. Midsegment
The midsegment of a triangle is a segment connecting the midpoints of two sides of the triangle.
Triangle Midsegment Theorem: If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half as long.

3. Identifying Parallel Segments
What are the three pairs of parallel segments in DEF?

4. Finding Lengths
In QRS, T, U, and B are midpoints. What are the lengths of TU, UB, and QR?

5. In the figure below, AD = 6 and DE = 7. 5
In the figure below, AD = 6 and DE = What are the lengths of DC, AC, EF, and AB?

6. Using Midpoints to Draw a Triangle
The midpoints of the sides of a triangle are L(4, 2), M(2, 3), and N(5, 4). What are the coordinates of the vertices of the triangle?