Question

Fig. 7.18
4.
I and m are two parallel lines intersected by
another pair of parallel lines p and q.
(see Fig. 7.19). Show that A ABC=ACDA.
P
B
Fig. 7.19


THIS QUESTION IS IMPORTANT OR NOT

Answer 1

Answer:

Yes, This question is important

below is the answer. Kindly Check.

Step-by-step explanation:

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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, triangle ABC triangle CDA.

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