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11/07/2021 11:46 am
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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 ΔABC ΔCDA.
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11/07/2021 11:47 am
It is given that p q and l m
To prove:
Triangles ABC and CDA are similar i.e. ΔABC ΔCDA
Proof:
Consider the ΔABC and ΔCDA,
(i) BCA = DAC and BAC = DCA Since they are alternate interior angles
(ii) AC = CA as it is the common arm
So, by ASA congruency criterion, ΔABC ΔCDA.