Question

In Figure 8, AB = DC and BC=AD.
Is triangleABC congurant to triangleCDA?
Justify your answer.​

Answer 1

Step-by-step explanation:

Given

AB=DC and BC=AD

To prove

∆ABC congruent to ∆CDA

Proof

Given that AB=DC and BC=AD

So, ABCD is a parallelogram

we know that diagonal of a parallelogram divides it into two congruent triangles

therefore AC divides palagram ABCD into two congruent triangles

i.e ∆ABC≅∆CDA (PROVED)

OR

Consider ∆ABC and ∆CDA

AB=CD (Given)

BC=AD (Given)

AC=AC (Common)

So, ∆ABC ≅∆CDA (By SSS criteria)

Answer 2

Answer:

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