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.

                                              

Answers (1)

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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