We know that the sum of all angle measures in a trapezoid is 360* (* means degrees)
Therefore we can construct the equation
(X+28)+(x)+(4x-14)+(4x-14)= 360
Now add like terms
10x = 360
And divide by the coefficient of X (aka 10)
X= 36
From this picture you can calculate coordinates of triangles' vertices:

.
Since
you can conclude that points A, B, C are rotated by

about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
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