1. 如图,$AB = DC$.
(1) 当$AB$______$DC$时,四边形$ABCD$
是平行四边形;
(2) 当$AD$______$BC$时,四边形$ABCD$是平行四边形.
(1) 当$AB$______$DC$时,四边形$ABCD$
(2) 当$AD$______$BC$时,四边形$ABCD$是平行四边形.
答案
2. 如图,在$\square ABCD$中,$E$、$F$分别是$AB$、$CD$的中点,连接$DE$、$EF$、$BF$. 图中共有______个平行四边形.

答案
3. 下列条件中,能判定四边形$ABCD$是平行四边形的是( ).
(A) $\angle A = 30^{\circ}$,$\angle B = 150^{\circ}$,$\angle C = 30^{\circ}$,$\angle D = 150^{\circ}$
(B) $\angle A = 60^{\circ}$,$\angle B = 60^{\circ}$,$\angle C = 120^{\circ}$,$\angle D = 120^{\circ}$
(C) $\angle A = 60^{\circ}$,$\angle B = 90^{\circ}$,$\angle C = 60^{\circ}$,$\angle D = 150^{\circ}$
(D) $\angle A = 60^{\circ}$,$\angle B = 70^{\circ}$,$\angle C = 110^{\circ}$,$\angle D = 120^{\circ}$
(A) $\angle A = 30^{\circ}$,$\angle B = 150^{\circ}$,$\angle C = 30^{\circ}$,$\angle D = 150^{\circ}$
(B) $\angle A = 60^{\circ}$,$\angle B = 60^{\circ}$,$\angle C = 120^{\circ}$,$\angle D = 120^{\circ}$
(C) $\angle A = 60^{\circ}$,$\angle B = 90^{\circ}$,$\angle C = 60^{\circ}$,$\angle D = 150^{\circ}$
(D) $\angle A = 60^{\circ}$,$\angle B = 70^{\circ}$,$\angle C = 110^{\circ}$,$\angle D = 120^{\circ}$
答案
4. 已知:如图,在$\square ABCD$中,点$E$、$F$分别在$AB$、$CD$上,且$AE = CF$,$AF$、$DE$相交于点$G$,$BF$、$CE$相交于点$H$. 求证:四边形$EHFG$是平行四边形.

答案
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