Question

l and m are two parallel line intersected by another pair of parallel lines p and q show that triangle abc is congrent to triangle cda

Answer 1

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Answer 2

In ΔABC and ΔCDA,

∠BAC = ∠DCA (Alternate interior angles, as p || q)

AC = CA (Common)

∠BCA = ∠DAC (Alternate interior angles, as l || m)

∴ ΔABC ≅ ΔCDA (By ASA congruence rule)