#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  cin >> n;
  int a[n * 2], b[n * 2];
  for (int i = 0; i < (n); ++i) {
    cin >> a[i] >> b[i];
    a[i + n] = a[i];
    b[i + n] = b[i];
  }
  int flag = 1;
  if (n % 2 == 1) flag = 0;
  for (int i = 0; i < (n); ++i) {
    int x = a[i + 1] - a[i];
    int y = b[i + 1] - b[i];
    if (a[i + n / 2 + 1] - a[i + n / 2] != -x) flag = 0;
    if (b[i + n / 2 + 1] - b[i + n / 2] != -y) flag = 0;
  }
  if (flag) {
    puts("YES");
  } else {
    puts("NO");
  };
  return 0;
}
