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  • 1. (2021七下·宝安期中) 完成下面推理过程,在括号内的横线上填空或填上推理依据.

    如图,已知∶ AB// EF,EP⊥EQ,∠EQC+∠APE=90°,求证∶ AB//CD

    证明: AB// EF 

    ∠APE=                  ▲                                    ▲                  

    EP⊥EQ 

     ∠PEQ=                  ▲                  (垂直定义)即 ∠QEF+∠PEF = 90°

    ∠APE+∠QEF=90°

    ∵·∠EQC+∠APE=90°

    ∠EQC=                  ▲                  

    EF//                  ▲                                    ▲                  

    AB// CD(                  ▲                  

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