Find the simplest solution of ncert class 9th solution of triangles of exercise 7.1 question number 4. Sir please help me to solve this question in a easiest and best way. Find the best and simplest solution of this question so i solve this easily. l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig. 7.19). Show that ΔABC ΔCDA.
Solution:
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.