證明:?$ (1) $?∵?$BF=D E,$??$ BF-EF=DE-EF$?
∴?$BE= DF$?
?$(2) $?∵四邊形?$ A B C D $?為平行四邊形
∴?$A B= C D ,$? 且?$ A B / / C D$?
∴?$∠A B E=∠C D F$?
在?$△ABE$?和?$△CDF $?中,
?${{\begin{cases} {{AB=CD}} \\{∠ABE=∠CDF} \\{BE=DF} \end{cases}}}$?
∴?$△ABE≌△CDF(\mathrm {SAS})$?