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:\\\\tc\\\\bgi \"); 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); } 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:\\\\tc\\\\bgi\"); 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 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\"); line(x1,y1,x2,y2); line(x2,y2,x3,y3); line(x3,y3,x1,y1); getch(); 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:\\\\tc\\\\bgi \"); 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); } void tri() { int x,y,a1,a2,a3,b1,b2,b3; printf(\"Enter the Transaction coordinates\.