The document contains C/C++ programs for basic geometric transformations: translation, rotation, and reflection of triangles. Each program prompts the user for triangle coordinates and transformation parameters, processes the input, and then visually displays the results using graphics functions. The structure includes initialization of graphics mode and main logic for performing the respective transformations based on user input.

1. 1. Translation program:
#include
#include
#include
#include
#include
int x1,y1,x2,y2,x3,y3,mx,my;
void draw();
void tri();
void main()
{
int gd=DETECT,gm;
int c;
initgraph(&gd,&gm,"d:tcbgi ");
printf("Enter the 1st point for the triangle:");
scanf("%d%d",&x1,&y1);
printf("Enter the 2nd point for the triangle:");
scanf("%d%d",&x2,&y2);
printf("Enter the 3rd point for the triangle:");
scanf("%d%d",&x3,&y3);
cleardevice();
draw();
getch();
tri();
getch();
}
void draw()
{
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
}

2. void tri()
{
int x,y,a1,a2,a3,b1,b2,b3;
printf("Enter the Transaction coordinates");
scanf("%d%d",&x,&y);
cleardevice();
a1=x1+x;
b1=y1+y;
a2=x2+x;
b2=y2+y;
a3=x3+x;
b3=y3+y;
line(a1,b1,a2,b2);
line(a2,b2,a3,b3);
line(a3,b3,a1,b1);
}
getch();
closegraph();
2.
//rotation
#include
#include
#include
#include
#include
#include
float x1,y1,x2,y2,x,y,x3,y3,x4,y4,a;
int ch;
int main(void)
{
int gdriver = DETECT, gmode, errorcode;
clrscr();
initgraph(&gdriver, &gmode, "c:tcbgi");
cout<<"enter coordinates of line1: ";
cin>>x1>>y1>>x2>>y2;

3. cout<<"enter coordinates for relative line: ";
cin>>x3>>y3;
cout<<"enter the angle of rotation: ";cin>>a;
cleardevice();
line(x1,y1,x2,y2);
moveto(x2,y2);
lineto(x3,y3);
moveto(x3,y3);
lineto(x1,y1);
a=a*(3.14/180);
x1=(x1*cos(a))-(y1*sin(a));
y1=(x1*sin(a))+(y1*cos(a));
x2=(x2*cos(a))-(y2*sin(a));
y2=(x2*sin(a))+(y2*cos(a));
x3=(x3*cos(a))-(y3*sin(a));
y3=(x3*sin(a))+(y3*cos(a));
cout<<"now hit a key to see rotation:";
getch();
moveto(x1,y1);
lineto(x2,y2);
moveto(x2,y2);
lineto(x3,y3);
moveto(x3,y3);
lineto(x1,y1);
getch();
closegraph();
}
3. Reflection
#include
#include
#include
#include
void main()
{
int gd=DETECT,gm;
int x1,y1,x2,y2,x3,y3;

4. char a;
clrscr();
initgraph(&gd,&gm,"");
printf(" enter the coordinates of triangle");
sacnf("%d%d%d%d%d%d",&x1,&y1,&x2,&y2,&x3,&y3);
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
line(320,0,320,430);
line(0,240,640,240);
printf(" enter the axis of reflection");
scanf("%d",&a);
if(a='x'||a='X')
{
x1=x1;
x2=x2;
x3=x3;
y1=y1+240;
y2=y2+240;
y3=y3+240;
}
else
if(a='y'||a='Y')
{
y1=y1;
y2=y2;
y3=y3;
x1+=320;
x2+=320;
x3+=320;
}
printf(" triangle after reflection");
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
getch();

5. closegraph();
}
Solution
1. Translation program:
#include
#include
#include
#include
#include
int x1,y1,x2,y2,x3,y3,mx,my;
void draw();
void tri();
void main()
{
int gd=DETECT,gm;
int c;
initgraph(&gd,&gm,"d:tcbgi ");
printf("Enter the 1st point for the triangle:");
scanf("%d%d",&x1,&y1);
printf("Enter the 2nd point for the triangle:");
scanf("%d%d",&x2,&y2);
printf("Enter the 3rd point for the triangle:");
scanf("%d%d",&x3,&y3);
cleardevice();
draw();
getch();
tri();
getch();
}
void draw()
{

6. line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
}
void tri()
{
int x,y,a1,a2,a3,b1,b2,b3;
printf("Enter the Transaction coordinates");
scanf("%d%d",&x,&y);
cleardevice();
a1=x1+x;
b1=y1+y;
a2=x2+x;
b2=y2+y;
a3=x3+x;
b3=y3+y;
line(a1,b1,a2,b2);
line(a2,b2,a3,b3);
line(a3,b3,a1,b1);
}
getch();
closegraph();
2.
//rotation
#include
#include
#include
#include
#include
#include
float x1,y1,x2,y2,x,y,x3,y3,x4,y4,a;
int ch;
int main(void)
{
int gdriver = DETECT, gmode, errorcode;

7. clrscr();
initgraph(&gdriver, &gmode, "c:tcbgi");
cout<<"enter coordinates of line1: ";
cin>>x1>>y1>>x2>>y2;
cout<<"enter coordinates for relative line: ";
cin>>x3>>y3;
cout<<"enter the angle of rotation: ";cin>>a;
cleardevice();
line(x1,y1,x2,y2);
moveto(x2,y2);
lineto(x3,y3);
moveto(x3,y3);
lineto(x1,y1);
a=a*(3.14/180);
x1=(x1*cos(a))-(y1*sin(a));
y1=(x1*sin(a))+(y1*cos(a));
x2=(x2*cos(a))-(y2*sin(a));
y2=(x2*sin(a))+(y2*cos(a));
x3=(x3*cos(a))-(y3*sin(a));
y3=(x3*sin(a))+(y3*cos(a));
cout<<"now hit a key to see rotation:";
getch();
moveto(x1,y1);
lineto(x2,y2);
moveto(x2,y2);
lineto(x3,y3);
moveto(x3,y3);
lineto(x1,y1);
getch();
closegraph();
}
3. Reflection
#include
#include
#include
#include

8. void main()
{
int gd=DETECT,gm;
int x1,y1,x2,y2,x3,y3;
char a;
clrscr();
initgraph(&gd,&gm,"");
printf(" enter the coordinates of triangle");
sacnf("%d%d%d%d%d%d",&x1,&y1,&x2,&y2,&x3,&y3);
line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
line(320,0,320,430);
line(0,240,640,240);
printf(" enter the axis of reflection");
scanf("%d",&a);
if(a='x'||a='X')
{
x1=x1;
x2=x2;
x3=x3;
y1=y1+240;
y2=y2+240;
y3=y3+240;
}
else
if(a='y'||a='Y')
{
y1=y1;
y2=y2;
y3=y3;
x1+=320;
x2+=320;
x3+=320;
}
printf(" triangle after reflection");

9. line(x1,y1,x2,y2);
line(x2,y2,x3,y3);
line(x3,y3,x1,y1);
getch();
closegraph();
}