Geometry
Guided Notes
Midsegments
Midsegments
Name: _______________________________
Date: __________________ Period: _______
A ______________of a triangle is a segment that connects the _______________
of two sides of the triangle.
Midsegment Theorem - The segment connecting the midpoints of two sides of a
triangle is _____________ to the third side and is ________________________.
If DE = 12, then CB = _______
If CB = 18, then DE = _______
Example #1: Find the coordinates of the endpoints of each midsegment of ΔABC.
Example #2: In ΔABC, the midpoints are L, M, and N.
̅̅̅̅
___________
If AC = 14, then LN = ____
̅̅̅̅
___________
If MN = 8, then AB = ____
If NC = 3, then LM = _____
If LN = 5, then _____ = 10
If LM = 3x + 1 and BC = 10x -6, then LM = ____
If NM = x - 1 and AB = 3x - 7, then AB = _____
Geometry
Guided Notes
Midsegments
Name: _______________________________
Date: __________________ Period: _______
Example #3: Use the slope and distance formula to verify
the midsegment theorem.
1. Before we find the slope and distance of ̅̅̅̅ , we need to find D and E.
2. Verify that the midsegments are parallel.
3. Verify that the length of the midsegment is half of the parallel side.
Example #4: Given CD = 12, GF = 7, and GC = 4, find the perimeter of ΔBCD.