Question 4:
l and m are two parallel lines intersected by another pair of parallel lines p and q
(see the given figure). Show that ∆ABC ≅ ∆CDA.
Answer:
In ∆ABC and ∆CDA,
∠BAC = ∠DCA (Alternate interior angles, as p || q)
AC = CA (Common)
∠BCA = ∠DAC (Alternate interior angles, as l || m)
∆ABC ≅ ∆CDA (By ASA congruence rule)
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