1. Aim: How do we work with mid-segments and midpoints?
Goal: Everyone will understand how to solve and find midpoints and mid-segments

2. DEFINITION:
Midpoint: Is the point halfway between the endpoints of a line segment. It divides a line segment into two equal segments.
Mid-segment of a triangle: Is a segment joining the midpoints of two sides of a triangle.

3. Midpoints
When finding the coordinates of the midpoint of a segment, you are actually finding the average (mean) of the x-coordinates and the average (mean) of the y-coordinates.
Formula: 


6. Mid-Segment Properties
The mid-segment of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third side of the triangle.
The mid-segment is parallel to the third side of the triangle. DE ||AB
mid-segment

7. Example:
Given DE is the length of the mid-segment. Find AB
Solution: The mid-segment is half of the third side.7 is half of 14. AB = 14.

8. Second Example: The mid-segment is half of the third side.
6 is half of 12 so AC = 12
7 is half of 14 so CB = 14
8 is half of 16 so AB = 16
The perimeter of the large triangle ABC is:  = 42.

9. Solve: Find DE Find AB Answer:16:
Explanation: Line segment DE is half of line segment AB and line AB is 32 which makes Line segment equal to 16.
Find AB
Answer:64
Explanation: line segment DE is 32 and since its half of AB then you just double that number to get AB which is 64.

10. Additional Questions