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