Midpoint and Distance Formulas

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12.6
Midpoint and Distance Formulas
Goal 1 Find the Midpoint of a Segment Goal 2
Find the Distance Between Two Points on a
Coordinate Plane
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The Midpoint Formula
The midpoint between the two points (x1, y1) and
(x2, y2) is
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Find the midpoint of the segment whose endpoints
are (6,-2) (2,-9)
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Find the coordinates of the midpoint of the
segment whose endpoints are (5, 2) and ( 7, 8)
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Find the coordinates of the midpoint of the
segment whose endpoints are (-2, 8) and ( 4, 0)
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Distance Formula
The distance between two points with coordinates
(x1, y1) and (x2, y2) is given by
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Find the Distance Between the points.

• (-2, 5) and (3, -1)
• Let (x1, y1) (-2, 5) and (x2, y2)
  (3, -1)

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What is the distance between P(- 1, 4) and Q(2,
- 3)?
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What is the distance between P(3, 0) and Q(5, -
4)?
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What is the distance between P(-5, 2) and Q(2, -
5)?
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Use the distance formula to determine
whether the three points are vertices of a right
triangle (1,1), (4,4), (4,1)
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Use the distance formula to determine
whether the three points are vertices of a right
triangle (3, -4), (-2, -1), (4, 6).
Homework
p. 748 16-28e, 36-44e, 61-63