ellisje22 wrote:

In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?

Statement (1) r+s=1

Statement (2) u=1-r and v=1-s

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT SUFFICIENT

The distance between (0,0) and (r,s) should be same as distance between (0,0) and (u,v)

Distance between (r,s) and (0,0) = sqrt(r^2+S^2)

Distance between (u,v) and (0,0) = sqrt(u^2+V^2)

Stmt 1 is obviously not suff.

From stmt 2 we get sqrt(2+r^2+s^2-2(r+s)) not suff.

Combing we get Sqrt(r^2+s^2) = SQRT(R^2+S^2)

Hence Suff. So C.