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  • l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig.). Show that ∆ ABC ≅ ∆ CDA.

4.  \small l and \small m are two parallel lines intersected by another pair of parallel lines \small p and \small q (see Fig. ). Show that \small \Delta ABC\cong \Delta CDA.    

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In the given figure, consider \Delta ABC and \Delta CDA :

(i) \angle\ BCA\ =\ \angle DAC

(ii) \angle\ BAC\ =\ \angle DCA

(iii) Side AC is common in both the triangles.

Thus by ASA congruence, we have :  \Delta ABC\ \cong \ \Delta CDA 

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Devendra Khairwa

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