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SAS Postulate

In the adjoin...

Question

In the adjoining figure, show that $A B C D$ is a parallelogram.

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Solution

REF.IMAGE

From the figure

$Δ A B D$ and $Δ B C D$ is clear that

$A B = C D - 5 c m$ (given)

$A B = A B$ (common side)

and

$∠ A B D = ∠ C D B$ (alternate angle)

so, $A B C ≅ B C D$ (SAS fule)

So, $A D = B C (C P C T)$

Hence $A B = C D$

$A D = B C$

Opposite sides are equal and parallel.

So it is a parallelogram.

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