If quadrilateral AGHYis congruent to quadrilateral BFRS, then
[tex]\angle A\sim \angle B[/tex],
[tex]\angle G\sim \angle F[/tex],
[tex]\angle H\sim \angle R[/tex],
[tex]\angle Y\sim \angle SB[/tex]
and
[tex]AG\sim BF[/tex],
[tex]GH\sim FR[/tex],
[tex]HY\sim RS[/tex],
[tex]AY\sim BSF[/tex].