#include<bits/stdc++.h>
using namespace std;

#define int long long
#define double long double
#define eps 1e-12
#define zero(x) (((x)>0?(x):(-x))<eps)

struct point{
    long long x, y;
}p[4];

long long xmult(point p1, point p2, point p0) {
    return (p1.x - p0.x) * (p2.y - p0.y) - (p2.x - p0.x) * (p1.y - p0.y);
}

int dot_online_in(point p, point l1, point l2) {
    return zero(xmult(p, l1, l2)) && (l1.x - p.x) * (l2.x - p.x) < eps && (l1.y - p.y) * (l2.y - p.y) < eps;
}

void run(point aa, point bb, point cc) {
    if (abs(p[0].x - aa.x) == abs(p[0].x - bb.x)) {
        if (abs(p[0].y - aa.y) == abs(p[0].y - bb.y)) {
            cout << fixed << setprecision(10) << (double)cc.x << " " << (double)cc.y << '\n';
        } else if (abs(p[0].y - aa.y) < abs(p[0].y - bb.y)) {
            int a = abs(p[0].y - bb.y);
            int b = abs(bb.y - aa.y);
            int c = a;
            a = b;
            b = 2 * c;
            double ansx, ansy;
            ansx = (double)(cc.x - bb.x) * 1.0 / b * a + bb.x;
            ansy = (double)(cc.y - bb.y) * 1.0 / b * a + bb.y;
            cout << fixed << setprecision(10) << ansx << " " << ansy << '\n';
        } else {
            int a = abs(p[0].y - aa.y);
            int b = abs(aa.y - bb.y);
            int c = a;
            a = b;
            b = 2 * c;
            double ansx, ansy;
            ansx = (double)(cc.x - aa.x) * 1.0 / b * a + aa.x;
            ansy = (double)(cc.y - aa.y) * 1.0 / b * a + aa.y;
            cout << fixed << setprecision(10) << ansx << " " << ansy << '\n';
        }
    } else {
        if(abs(p[0].x - aa.x) <= abs(p[0].x - bb.x) && abs(p[0].y - aa.y) <= abs(p[0].y - bb.y)) {
            int a = abs(p[0].x - bb.x);
            int b = abs(bb.x - aa.x);
            int c = a;
            a = b;
            b = 2 * c;
            double ansx, ansy;
            ansx = (double)(cc.x - bb.x) * 1.0 / b * a + bb.x;
            ansy = (double)(cc.y - bb.y) * 1.0 / b * a + bb.y;
            cout << fixed << setprecision(10) << ansx << " " << ansy << '\n';
        } else {
            int a = abs(p[0].x - aa.x);
            int b = abs(aa.x - bb.x);
            int c = a;
            a = b;
            b = 2 * c;
            double ansx, ansy;
            ansx = (double)(cc.x - aa.x) * 1.0 / b * a + aa.x;
            ansy = (double)(cc.y - aa.y) * 1.0 / b * a + aa.y;
            cout << fixed << setprecision(10) << ansx << " " << ansy << '\n';
        }
    }
}

void solve() {
    for(int i = 1; i <= 3; i++) 
        cin >> p[i].x >> p[i].y;
    cin >> p[0].x >> p[0].y;
    if(dot_online_in(p[0], p[2], p[1])) run(p[1], p[2], p[3]);
    else if(dot_online_in(p[0], p[3], p[1])) run(p[1], p[3], p[2]);
    else if(dot_online_in(p[0], p[2], p[3])) run(p[2], p[3], p[1]);
    else cout << "-1\n";
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    int T;
    cin >> T;
    while(T--) {
        solve();
    }
    return 0;
}