1. 5-4 Midsegment Theorem Identify the Midsegment of a triangle
Use the properties of the Midsegement of a triangle
A midsegment of a triangle is a segment that connects the midpoints of 2 sides of a triangle.
The midsegments and sides of a triangle have a special relationship.

2. Midsegment Theorem: The segment connecting the midpoints of the two sides of a triangle is parallel to the third side and half as long. B D E A C

3. Find each of the following.
U, V, and W are midpoints.
Find each of the following.
UW = 6
RT = 16
RW = 8 R U W 8 T V S 12

4. Using Midpoints to Draw a Triangle
You are given midpoints
L(4, 2), M(2, 3) N(5, 4).
Plot the midpoints in a coordinate plane.
Connect these midpoints to form the midsegments.
What are the coordinates of the triangle itself? Hint: Find the slopes of the midsegments.
The coordinates of the vertices of the triangle are: (1, 1), (3, 5) and _(7, 3)_.
Slope of LN is 2, so there is a line parallel to it that has a slope of 2 in which M is the midpoint. N M L