Determine whether a point is inside a rectangle

Given a rectangle with four vertices in the cartesian rectangular coordinates. Write a program to determine whether a given point lies inside the rectangle, or outside it.

Last Reviewed and Updated on June 24, 2017
Posted by Parveen(Hoven),
Aptitude Trainer and Software Developer


C++ Program for Hit Testing. Determine whether a point is inside a rectangle.

P, Q, R and S are vertices of a rectangle in a clockwise cyclic order. The axes are cartesian where x is positive to the right, y is positive upwards. The coordinates of P are: (-6.1f, -4.3f), Q: (-6.1f, +4.3f), R: (+6.1f, +4.3f) and S: (+6.1f, -4.3f). Ask the user to enter the coordinates of a point of his choice. Write code to determine whether that point lies inside the rectangle or not. You have to model the problem into a C program. Test this program by entering x as 0.0 and y as 0.0. If your code is correct, the output would be: "Yes, inside!".

#include <iostream>
using namespace std;
int main()
    // points are cyclic
    float PX = -6.1f, PY = -4.3f;
    float QX = -6.1f, QY = +4.3f;
    float RX = +6.1f, RY = +4.3f;
    float SX = +6.1f, SY = -4.3f;
    float x, y;
    cout << "Enter x-coord: ";
    cin >> x;
    cout << "Enter y-coord: ";
    cin >> y;

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 |                   |
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        (y < QY)
        (y > PY) 
        (x < RX)
        (x > QX)
        cout << "Yes, Inside!" << endl;
        cout << "Outside" << endl;
    return 0;

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This Blog Post/Article "Determine whether a point is inside a rectangle" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.