Question

In figure Ad =BC and AD parallel to BC. Is AB =DC ? Give reason in support of your answer. Prove that ABC is congruent to CDA

Answer 1

Hey dear here is your answer!!!!!

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We have been given:-

AD = BC

AD || DC

We also know that any quadrilateral is a parallelogram if a pair of its sides is equal and parallel.

Here, both the conditions are satisfied.

So, we can say that ABCD is a ||gm.

That means AB = DC because it is a pair of opposite sides of a parallelogram.

Now, in ΔABC and ΔCDA:-

AB = CD (Already Proved)

∠A = ∠C  (Opposite angles of a Parallelogram)

AD = BC (Given)

So, ΔABC ≅ ΔCDA ( by SAS congrunecy)

SAS congruency has been used because we had two pair of two sides and an angle between them equal.

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❣️⭐ Hope it helps you dear...⭐⭐❣️❣️

Answer 2

Answer: AB = DC AND TRIANGL ABC = TRIANGLE CDA

Step-by-step explanation:

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