Determining Lengths of Line Segments



Determining Lengths (Distance) of Line Segments

Distance Formula: [pic]

Example 1:

Calculate the length of the line segment FG.

Try: Calculate the length of the line segment ST with coordinates S(-7, -5) and T(4, -1)

Example 2: Determine whether [pic] is isosceles.

The Midpoint of a Line Segment

M is the midpoint of a line segment whose coordinates are P(x1, y1) and Q(x2, y2).

M = [pic]

Example 1: Calculate the midpoint of A(1,5) and B(7,1).

Try: An engineer has to design a highway so that it is the same distance from Halifax located at H(6826, 2014) and Lunenburg located at L(6792,1996). Determine the coordinates of one point on the road.

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