1. 5.1: Midsegments of Triangles
Objectives:
To use properties of midsegments to solve problems

2. Warm-Up Find the distance between the 2 points A(-1,-4) and B(2, 3).
Find the coordinates of the midpoint
of the segment with endpoints A(-2, 3)
and B(4, 1)

3. Midsegment of a Triangle
Segment connecting the midpoints of 2 sides of a triangle B D E C A
D is the midpoint of
E is the midpoint of
is the midsegment of

4. Triangle Midsegment Theorem
If a segment joins the midpoints of 2 sides of a triangle, the segment is parallel to the 3rd side, and is ½ its length
Do NOT assume it’s a midsegment unless they tell you or you prove it.

5. Triangle Midsegment Theorem
is the midsegment of
Therefore….
AND

6. EXAMPLES: Find the value of the variables.1. 2. A B C x
x+2 E D 18 20

7. Find the perimeter of D 5 3 E 7 A

8. Find the value of the variable.
(6x)°
30°

9. In ∆XYZ, M, N, and P are midpoints. The perimeter of the ∆ MNP is 60 yd. Find NP and YZ.22 M P 24 Y Z N
NAME ALL PARALLEL SEGMENTS:

10. What is the measure of angle ANM? Angle A? Explain.
65° C B