如图∠CAE=∠BAD ∠B=∠D,AC=AE △ABC与△ADE全等吗?为什么?
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![如图∠CAE=∠BAD ∠B=∠D,AC=AE △ABC与△ADE全等吗?为什么?](/uploads/image/z/1660316-68-6.jpg?t=%E5%A6%82%E5%9B%BE%E2%88%A0CAE%3D%E2%88%A0BAD+%E2%88%A0B%3D%E2%88%A0D%2CAC%3DAE+%E2%96%B3ABC%E4%B8%8E%E2%96%B3ADE%E5%85%A8%E7%AD%89%E5%90%97%3F%E4%B8%BA%E4%BB%80%E4%B9%88%3F)
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如图∠CAE=∠BAD ∠B=∠D,AC=AE △ABC与△ADE全等吗?为什么?
如图∠CAE=∠BAD ∠B=∠D,AC=AE △ABC与△ADE全等吗?为什么?
如图∠CAE=∠BAD ∠B=∠D,AC=AE △ABC与△ADE全等吗?为什么?
△ABC与△ADE全等
理由:
∵∠CAE=∠BAD
∴∠CAE+∠EAB=∠BAD+∠EAB
即∠CAB=∠EAD
∵∠B=∠D,AC=AE
∴△ABC≌△ADE(AAS)
全等,因为∠CAE=∠BAD ∠B=∠D,则有角CAB=角EAD 则角C=角E,又因为AC=AE,由角边角就可以得出结论
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