SOLUTION: The points A(1,7), B(20,7) and C(p,q) form the verticies of a triangle ABC. The point D(8,2) is the mid-point of AC. a) Find the value of p and the value of q.

Algebra ->  Coordinate-system -> SOLUTION: The points A(1,7), B(20,7) and C(p,q) form the verticies of a triangle ABC. The point D(8,2) is the mid-point of AC. a) Find the value of p and the value of q.      Log On


   

Question 511868: The points A(1,7), B(20,7) and C(p,q) form the verticies of a triangle ABC. The point D(8,2) is the mid-point of AC.
a) Find the value of p and the value of q.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The points A(1,7), B(20,7) and C(p,q) form the verticies of a triangle ABC. The point D(8,2) is the mid-point of AC.
a) Find the value of p and the value of q.
A(1,7),C(p,q)
midpoint (8,2)
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Fact: The midpoint coordinates are the average of the
corresponding endpoint coordinates.
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Solve:
(1+p)/2 = 8
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(7+q)/2 = 2
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1+p = 16
p = 15
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7+q = 4
q = -3
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Cheers,
Stan H.
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