SOLUTION: Please HELP Me! I have a coordinate proof problem with isoceles trapezoid. It is on a coordinate plane with the longest side facing up. the bottom leftcorner is S with points of(a,

Question 594096: Please HELP Me! I have a coordinate proof problem with isoceles trapezoid. It is on a coordinate plane with the longest side facing up. the bottom leftcorner is S with points of(a,0) the bottom right is T with points of (b,0) The top RIGHT is W (?,c) The top LEFT is touching the y axis and is Y with (?,?)Find the question marks. P.S. the S and T Points are also touching the x axis HELP!!! PLEASE!!!
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

The point Y must be the same distance above the x axis as the
point W(?,c). So the y-coordinate of Y must be the same as the
y-coordinate of W, so it is c also. Also since Y is on the y-axis
its x-coordinate must be 0. So now we have:

The origin is directly underneath Y, and S is "a" units right
of the origin. Therefore by symmetry, a point on the x-axis
directly underneath W must be "a" units to the right of T(b,0),
So the point on the x-axis directly underneath W must be Z(b+a,0).
Let's draw in that point:

Since W is directly above Z, W must have the same x-coordinate as Z,
so the coordinates of W are (b+a,c), So we have:

Edwin
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