How to construct base class multiple times in derived constructor - c++

Question

Hello I I have problem on my assignment which I need to init base constructor which is point multiple time in derived constructor which is polygon.
The polygon have at least 3 point , each point have a coordinate value. any one have ideas how to init base constructor multiple time in constructor init?
The inheritance ideas is not my ideas , is the assignment question.
this is the question
Polygon  (constructor) creates a polygon with npoints vertices, the vertices take their values from those stored in the array points. Note that the array points should not be assumed to persist; it may be deleted after the constructor is invoked.
struct PointType
{
float x;
float y;
};
class Point
{
public:
Point(const PointType& center );
virtual ~Point();
private:
PointType m_center;
};
class Polygon : public Point
{
public:
Polygon(const PointType* points, int npoints);
~Polygon();
const VectorType& operator[](int index) const;
private:
int m_npoints;
Object::PointType * m_pt;
};
#include <iostream>
#include <cstdlib>
#include <ctime>
#include <cmath>
#include "Object.hpp"
using namespace std;
const float eps = 1e-5f;
bool Near(float x, float y)
{
return abs(x-y) < eps;
}
float frand()
{
return 10.0f*float(rand())/float(RAND_MAX);
}
int main()
{
srand(unsigned(time(0)));
int count = 0,
max_count = 0;
// Polygon tests
int n = 3 + rand()%8;
float *xs = new float[n],
*ys = new float[n];
float x = 0, y = 0;
PointType *Ps = new PointType[n];
for (int i=0; i < n; ++i) {
xs[i] = frand(), ys[i] = frand();
Ps[i] = PointType(xs[i],ys[i]);
x += xs[i], y += ys[i];
}
}
Point::Point(const PointType& center)
: m_center{center}
{
}
// this is wrong, can correct me how to construct it?
Polygon::Polygon(const PointType* points, int npoints, float depth)
:m_npoints{npoints} , m_pt{new Object::PointType[npoints]}, Point (*m_pt ,depth)
{
for(int i=0; i < m_npoints ; ++i)
{
m_pt[i] = points[i];
}
}
enter code here
this the assignment structure like
enter image description here
I took away other object class implementation

Answer 1

Your assignment text doesn't say anything about inheritance. It essentially describes composition. Go from here:
class Polygon
{
public:
// constructor should allocate the array
Polygon(const PointType* points, int npoints);
~Polygon();
private:
Point *m_npoints; // or use smart pointer if you're allowed to.
};

Answer 2

It is a trick question, is actually want me to find centroid point of polygon.
So I need a private compute center point of polygon function and return the result of center point of polygon, and then call the function in point constructor when init.