8. Coordinate Proofs
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What are the vertical and horizontal positions of N?
Unlabeled vertex: N(h,k)
ON=sqrt(h^2+k^2)
MN=sqrt(h^2+k^2)
To find the lengths of ON and MN, we have to know the coordinates of N. Because ND is perpendicular with the base of the triangle which runs along the x-axis, N and D are on a vertical line and must have the same x-coordinate, h. We also see that N reaches a height of k units on the y-axis, so N has the y-coordinate k.
Substitute ( h,k) & ( 0,0)
Subtract terms
Substitute ( 2h,0) & ( h,k)
Subtract terms
Calculate power