Midsegments & Medians
November
Warm Up
• Get a worksheet from the front, complete the crossword puzzle!
Midsegment Activity
What is a midpoint?
• A midpoint cuts a line or a side in half.
Midsegment TheoremTheorem: If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side of the triangle and is half as long.
Example 1
• Find the values of the midsegments:
3040
50
Identifying Parallel Segments
Example 3
Examples-Find x!
Word Problem
Word Problem
Lesson Check!
Medians• A median of a triangle is a
segment whose endpoints are a vertex and the midpoint of the opposite side.
Concurrency• The point of concurrency of
the medians is called the CENTROID.
So what does this 2/3 thing mean?BREAK THE MEDIAN INTO THIRDS
2 of the THIRDS are the LONGER PIECE1 of the THIRDS is the SMALLER
The smaller is always HALF of the BIGGER piece
1/3
2/3
Example 1
Example 2
Example 3
Partner Race!
Homework
• Worksheet