Question

D
1 and m are two parallel lines intersected by
another pair of parallel lines p and a
(see Fig. 7.19). Show that A ABCE A CDA​

Answer 1

Answer:

Data: l and m are two parallel lines intersected by another pair of parallel lines p and q.

To Prove: ∆ABC ≅ ∆CDA

Proof: In AABC and ACDA,

∠ACB = ∠DAC

∵ Alternate angles.

∠BAC = ∠ACD AC is common.

A.S.A. postulate.

∆ABC ≅ ∆CDA

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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