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In the adjoining figure, l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that △ABC ≅ △CDA.

In the adjoining figure, l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that △ABC ≅ △CDA. Triangles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Triangles

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Answer

In △ABC and △CDA,

AC = AC (Common).

∠ACB = ∠CAD (Alternate angles)

∠BAC = ∠ACD (Alternate angles)

Hence, proved that △ABC ≅ △CDA by ASA axiom.

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