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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. Q.4

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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.

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  1. 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.

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