Question

l and m are two parallel lines intersected by another pair of parallel lines p and q
(see Fig. 7.19). Show that ΔABC is congruent to ΔCDA.​

Answer 1

Step-by-step explanation:

Answer is in attachment.

Hope this helps...

Answer 2

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.