Find the points of intersection of the parabolas y=1/2x^2 and y=1-1/2x^2. Show that at each of these points the tangent lines to the two parabolas are similar

Answer (+-1,1/2)
Please show and explain all steps thank yo

1/2 x^2 = 1 - 1/2 x^2

x^2 = 1
x = ±

No idea what you mean by "similar" lines.