#include <bits/stdc++.h>
using namespace std;
namespace fast_io {
char buf[1 << 12], *p1 = buf, *p2 = buf, sr[1 << 23], z[23], nc;
int C = -1, Z = 0, Bi = 0;
inline char gc() {
  return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 1 << 12, stdin), p1 == p2)
             ? EOF
             : *p1++;
}
inline long long read() {
  long long x = 0, y = 1;
  while (nc = gc(), (nc < 48 || nc > 57) && nc != -1)
    if (nc == 45) y = -1;
  Bi = 1;
  x = nc - 48;
  while (nc = gc(), 47 < nc && nc < 58)
    x = (x << 3) + (x << 1) + (nc ^ 48), Bi++;
  return x * y;
}
inline double gf() {
  int a = read(), b = (nc != '.') ? 0 : read();
  return (b ? a + (double)b / pow(10, Bi) : a);
}
inline int gs(char *s) {
  char c, *t = s;
  while (c = gc(), c < 32)
    ;
  *s++ = c;
  while (c = gc(), c > 32) *s++ = c;
  return s - t;
}
inline void ot() {
  fwrite(sr, 1, C + 1, stdout);
  C = -1;
}
inline void flush() {
  if (C > 1 << 22) ot();
}
template <typename T>
inline void write(T x, char t) {
  int y = 0;
  if (x < 0) y = 1, x = -x;
  while (z[++Z] = x % 10 + 48, x /= 10)
    ;
  if (y) z[++Z] = '-';
  while (sr[++C] = z[Z], --Z)
    ;
  sr[++C] = t;
  flush();
}
inline void write(char *s) {
  int l = strlen(s);
  for (int i = 0; i < l; i++) sr[++C] = *s++;
  sr[++C] = '\n';
  flush();
}
}  // namespace fast_io
using namespace fast_io;
const int N = 3e5 + 5;
int n, x[N], y[N];
int main() {
  n = read();
  for (int i = 1; i <= n; i++) x[i] = read(), y[i] = read();
  for (int i = 1; i <= n; i++) x[n + i] = x[i], y[n + i] = y[i];
  for (int i = 1; i < n; i++) {
    int j = i + n / 2;
    if (x[i] - x[i + 1] != x[j + 1] - x[j] ||
        y[i] - y[i + 1] != y[j + 1] - y[j])
      return write("NO"), ot(), 0;
  }
  write("YES");
  return ot(), 0;
}
