天气预报 > 教育 > 菱形对角线平分对角吗
菱形对角线平分对角吗
更新时间: 2021-02-15 05:32:13  

1、可以,可以用全等三角形证明。

2、在菱形ABCD中,BD为对角线,求证:∠1=∠2、∠3=∠4。证明:在△ABD和△CBD中,AB=BC=AD=CD,又BD=BD,所以△ABD≌△CBD,所以∠1=∠2、∠3=∠4。又:菱形的对角相等,所以∠1=∠2=∠3=∠4。同理可证:AC也平分一组对角。

关键词: 菱形 对角线 平分 对角

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