1. Midsegments
Objective: Students will understand and apply properties of midsegments in triangles and trapezoids.

2. Midsegment
What is it? Connects 2 midpoints of the sides (legs) How many does a triangle have? 3 How many does a trapezoid have? 1

3. Midsegment in a Triangle
What is special about midsegments in Triangles?
Midsegment bisects sides (midpoint)
Midsegment parallel to side it doesn’t touch
Corresponding angles
Midsegment half the length of the side it doesn’t touch

4. Congruent Triangles
Prove the 4 triangles formed are congruent

5. Example

6. Example 2

7. Example 3

8. Trapezoid Midsegment Trapezoid is part of a triangle
Midsegment is parallel to both bases
Midsegment bisects both legs
Midsegment is average of both bases (b1+b2)/2

9. Example

10. Homework
Pg Honors 10