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Question

I and m are two parallel lines intersected by another pair of parallel lines p and q (see the given figure). Show that ΔABCΔCDA.

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Solution

InΔABC and ΔCDA,BAC=DCA (Alternate interior angles,as p||q)AC=CA(Common)BCA=DAC(Alternate interior angles,as l||m)ΔABCΔCDA(By ASA congruence rule)

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