1. Midsegment Theorem and Coordinate Proofs
Ch 5.1

2. In this section…
We will look at the properties of a midsegment and use them to solve for desired distances
Learn a new kind of proof

3. What is a midsegment?
A midsegment connects 2 midpoints of a triangle together.
There are 3 midsegments for each triangle.
Each midsegment is parallel to one side of a triangle.
The midsegment is half the length of the side of the triangle that it is parallel to.

5. What’s what?

7. Page 298 #3 – 11,

8. What is a coordinate proof?
A coordinate proof uses the coordinate plane to make generalizations.
We place a shape onto the coordinate system with dimensions that have variables as the coordinates.
Then whatever is concluded works as a proof since it is generalized for any value.

9. Example
Place a square on the coordinate plane find the length of its diagonal and then its midpoint. What can you conclude?

12. Page 298 #12 – 19,