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歡迎您訪問數(shù)學考題練習:如圖,由AB∥CD,能推出正確結論的是!

數(shù)學考題練習:如圖,由AB∥CD,能推出正確結論的是

更新時間:2024-01-12 16:31:28作者:貝語網(wǎng)校

如圖,由AB∥CD,能推出正確結論的是

A.∠1=∠2

B.∠3=∠4

C.∠A=∠C

D.AD∥BC

試題答案

B

試題解析

本題主要利用兩直線平行,內錯角相等作答.

解答:A、中的兩個角不是由兩平行線形成的內錯角,故無法判斷兩角的數(shù)量關系,故錯誤;

B、∵AB∥DC,∠3和∠4互為內錯角,∴∠3=∠4,故正確.

C、∵AB∥CD,∴∠C+∠ABC=180°;∵直線AD與BC的位置關系不確定,∴∠A與∠ABC的數(shù)量關系無法確定,∴∠A與∠C的關系無法確定,故錯誤;

D、由題意知,直線AD與BC的位置關系不確定,故錯誤.

故選B.

點評:本題應用的知識點為:兩直線平行,內錯角相等.

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