//This program determines if 2 triangles are congruent given their vertexes.
// Author: Eyal Oren
// Date:

import java.util.Scanner;
public class Congruent
{
    public static void main(String[] args)
    {
        Scanner scan = new Scanner(System.in); ////Creating a scanner to take input from user.
        System.out.println("This program determines if two triangles are congruent, given "
                            + " their vertexes.");
        System.out.println("Please enter the three vertexes "
                            + "of each triangle.");

        // Defining the vertexes type, and asking the user for their value.

        double x11 = scan.nextDouble();
        double y11 = scan.nextDouble();

        double x12 = scan.nextDouble();
        double y12 = scan.nextDouble();

        double x13 = scan.nextDouble();
        double y13 = scan.nextDouble();

        double x21 = scan.nextDouble();
        double y21 = scan.nextDouble();

        double x22 = scan.nextDouble();
        double y22 = scan.nextDouble();

        double x23 = scan.nextDouble();
        double y23 = scan.nextDouble();

        double a1, b1,c1, a2, b2, c2; //Defining the type of the three lengths of each triangle.

        //Calculating the lenghts using Distance equation.

        a1 = Math.sqrt(Math.pow(x11-x12,2) + Math.pow(y11-y12,2));
        b1 = Math.sqrt(Math.pow(x11-x13,2) + Math.pow(y11-y13,2));
        c1 = Math.sqrt(Math.pow(x12-x13,2) + Math.pow(y12-y13,2));

        a2 = Math.sqrt(Math.pow(x21-x22,2) + Math.pow(y21-y22,2));
        b2 = Math.sqrt(Math.pow(x21-x23,2) + Math.pow(y21-y23,2));
        c2 = Math.sqrt(Math.pow(x22-x23,2) + Math.pow(y22-y23,2));

        //Creating the condition to determine if the two triangles are congruent.

        if(       (a1 == a2 && b1 == b2 && c1 == c2) ||
                  (a1 == a2 && b1 == c2 && c1 == b2) ||
                  (a1 == b2 && b1 == a2 && c1 == c2) ||
                  (a1 == c2 && b1 == b2 && c1 == a2) ||
                  (a1 == c2 && b1 == a2 && c1 == b2) ||
                  (a1 == b2 && b1 == c2 && c1 == a2)       )

            System.out.println("The triangles are congruent");
        else
            System.out.println("The triangles aren't congruent");




    } //end of method main
} //end of class Congruent