http://www.ck12.org Chapter 5. Relationships with Triangles
5.1 Midsegments of a Triangle
Learning Objectives
- Identify the midsegments of a triangle.
- Use the Midsegment Theorem to solve problems involving side lengths, midsegments, and algebra.
Review Queue
Find the midpoint between the given points.
- (-4, 1) and (6, 7)
- (5, -3) and (11, 5)
- (0, -2) and (-4, 14)
- Find the equation of the line between (-2, -3) and (-1, 1).
- Find the equation of the line that isparallel to the line from #4 through (2, -7).
Know What?A fractal is a repeated design using the same shape (or shapes) of different sizes. Below, is an example
of the first few steps of a fractal. What does the next figure look like? How many triangles are in each figure (green
and white triangles)? Is there a pattern?
Defining Midsegment
Midsegment:A line segment that connects two midpoints of adjacent sides of a triangle.
Example 1:Draw the midsegmentDFbetweenABandBC. Use appropriate tic marks.