1. 5.4 Midsegment Theorem
Midsegment

2. Definition of a Midsegment
A midsegment of a triangle connects the midpoints of two sides of a triangle.

3. Definition of a Midsegment
A midsegment of a triangle connects the midpoints of two sides of a triangle.

4. Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle is parallel to the side it is not touching, also is half the length.

5. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) How would you start the problem?

6. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) How would you start the problem? One problem with my guess is the slope of the midsegment is not the same as the side it is not touching

7. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) The slope of line containing V must be the same as the slope go through ST.

8. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) The slope of line containing S must be the same as the slope go through VT.

9. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) We can find the equations of the line through V and S, then find where they intersect. equation through V: equation through S

10. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) How can we find the other points?

11. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) How can we find the other points?

12. Midpoints of a Triangle are Given Find the Vertices
S: (1, 5) T:(3,3) V:(4,6) How can we find the other points?

13. Homework
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