Mathematics
l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that Δ ABC ≅ Δ CDA.
Triangles
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Answer
Given :
l || m and p || q
In Δ ABC and Δ CDA,
⇒ ∠BAC = ∠DCA (Alternate interior angles are equal)
⇒ AC = CA (Common side)
⇒ ∠BCA = ∠DAC (Alternate interior angles are equal)
∴ Δ ABC ≅ Δ CDA (By A.S.A. congruence rule)
Hence, proved that Δ ABC ≅ Δ CDA.
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