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l and m are two parallel lines intersected by another pair of parallel lines p and q (see Figure). Show that â?? ABC ≅ â?? CDA.

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In ΔABC and ΔCDA ∠BAC = ∠DCA (alternate interior angles) ∠BCA = ∠DAC (alternate interior angles) AC = AC (common side) ∴ ΔABC ≅ ΔCDA by ASA Test of congruency
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