#include <bits/stdc++.h>
using namespace std;
#ifndef ONLINE_JUDGE
FILE* __ = freopen("in.txt", "r", stdin);
#endif
#define LL long long
#define LD long double

int x[4], y[4], px, py;

bool pd(int x1, int y1, int x2, int y2) {
    LL xx = px - x1, yy = py - y1, xxx = x2 - px, yyy = y2 - py;
    if (xx * yyy - xxx * yy != 0) return 0;
    if (1ll * (x1 - px) * (px - x2) < 0) return 0;
    if (1ll * (y1 - py) * (py - y2) < 0) return 0;
    return 1;
}

LL dis(int x, int y, int px, int py) {
    return 1ll * (x - px) * (x - px) + 1ll * (y - py) * (y - py);
}

LD f(LD x1, LD x2, LD k) { return x1 + (x2 - x1) * k / 2.0; }

void sol() {
    for (int i = 1; i <= 3; ++i) cin >> x[i] >> y[i];
    cin >> px >> py;
    if (pd(x[1], y[1], x[2], y[2])) {
    } else if (pd(x[1], y[1], x[3], y[3])) {
        swap(x[2], x[3]);
        swap(y[2], y[3]);
    } else if (pd(x[2], y[2], x[3], y[3])) {
        swap(x[1], x[3]);
        swap(y[1], y[3]);
    } else {
        cout << -1 << '\n';
        return;
    }
    if (dis(x[1], y[1], px, py) <= dis(x[2], y[2], px, py))
        swap(x[1], x[2]), swap(y[1], y[2]);
    LD k = sqrt(1.0 * dis(x[1], y[1], x[2], y[2]) / dis(x[1], y[1], px, py));
    // cout << k << '\n';
    cout << setprecision(30) << f(x[1], x[3], k) << ' ' << f(y[1], y[3], k)
         << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int _ = 1;
    cin >> _;
    while (_--) sol();
    return 0;
}