5.1. Midsegment Theorem http://www.ck12.org
XY+Y Z+X Z= 2 · 4 + 2 · 3 + 2 · 5 = 8 + 6 + 10 = 24
Watch this video for help with the Examples above.
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52528CK-12 Foundation: Chapter5MidsegmentTheoremB
Concept Problem Revisited
To the left is a picture of the 4thfigure in the fractal pattern. The number of triangles in each figure is 1, 4, 13, and
- The pattern is that each term increase by the next power of 3.
Vocabulary
A line segment that connects two midpoints of the sides of a triangle is called amidsegment. Amidpointis a point
that divides a segment into two equal pieces. Two lines areparallelif they never intersect. Parallel lines have slopes
that are equal. In a triangle, midsegments are always parallel to one side of the triangle.
Guided Practice
The vertices of 4 LMNareL( 4 , 5 ),M(− 2 ,− 7 )andN(− 8 , 3 ).
- Find the midpoints of all three sides, label themO,PandQ. Then, graph the triangle, it’s midpoints and draw in
the midsegments. - Find the slopes ofNMandQO.