Question

l and m are two parallel lines intersected by another pair of parallel lines p and

q . Show that ΔABC ≅ ΔCDA.​

Answer 1

Answer:

ok

Step-by-step explanation:

Answer 2

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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