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 $\small \Delta ABC\cong \Delta CDA$ .

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 : $\Delta ABC\ \cong \ \Delta CDA$

Posted by

Devendra Khairwa

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4. and are two parallel lines intersected by another pair of parallel lines and (see Fig. ). Show that .

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Devendra Khairwa

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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 $\small \Delta ABC\cong \Delta CDA$ .