Download 2.1 - Midpoint of a Line Segment

2.1.notebook
February 28, 2017
2.1 ­ Midpoint of a Line Segment
Midpoint ­ the halfway point between two endpoints; equal distance from both endpoints
ex.
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2.1.notebook
February 28, 2017
Group work
The midpoint of a line segment with endpoints A (10, 2) and B (6, 8) is M (8, 5). Derive a formula to determine a midpoint.
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2.1.notebook
February 28, 2017
Midpoint:
x1 + x2
y1 + y2
(x1, y2) = ( , )
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2.1.notebook
February 28, 2017
Ex. 1
Determine the midpoint of a line segment with endpoints X(­6, ­8) and Y (4, 6).
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2.1.notebook
February 28, 2017
Ex. 2
Line segment AB has an endpoint at A (­3, ­1). The midpoint is located at M (1, 1). Determine the coordinates of endpoint B.
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2.1.notebook
February 28, 2017
Ex. 3
A triangle has vertices at A (­3, ­1), B (3, 5), and C (7, ­3). Determine an equation for the median from vertex A.
line joining the vertex of a triangle to Median: line connecting a vertex to the midpoint of the opposite side
midpoint of the opposite side
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2.1.notebook
February 28, 2017
Ex. 4
Line segment AB has the following endpoints A (1, 1) and
B (5, 9). Determine the equation of the perpendicular bisector
A line that bisects a line segment and perpendicular to that line segment
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