1. Goal: The learner will use properties of midsegments.
Lesson 5.1
Goal: The learner will use properties of midsegments.

2. Activity Draw or fold a large acute triangle on your patty paper.
Fold to find the midpoints of all 3 sides.
Draw a line segment connecting two of the midpoints.
Use the edge of another patty paper to compare the length of base to the length of the midsegment.
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3. Triangle Midsegment Theorem
Midsegment: segment that connects the midpoints of 2 sides of a triangle.
Midsegment Theorem: the midsegment of a triangle is parallel to the 3rd side and half its length. x 2x

4. Triangles are used for strength in roof trusses
Triangles are used for strength in roof trusses. In the diagram, UV and VW are midsegments of
ΔRST.
Find UV and RS.

5. Find x. 25 x 13 x

6. How about that algebra?
Find x.
3x + 1
10x - 6

7. One for you because I care sooo much.
Find x and how long are those segments?
3x - 7
X-1

8. Triangles on the coordinate plane
Let’s:
Find the midpoints of CA and CB.
Draw in the midsegment. Label XY.
Find the slope of AB and XY.
Compare them! A B C

9. Assignment
P #1, 3-11, 24-27, 35