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Bunuel
Diagonal BD divides quadrilateral ABCD into two triangles. Are these triangles congruent?

(1) AD || BC
(2) AB = CD

PROPERTY: Two figures are called congruent when
1) Their shapes are identical as well as
2) Their sizes are identical

When only shapes are identical but not essentially the sizes then the figures are called similar figures

Answer: Option E

Please check the detailed Video explanation here

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We need to find if the triangles BAD and BCD are congruent.

Statements:

(1) AD || BC

Multiple possibilities are there. Trapezium, Rectangle, Parallelogram.

Insufficient

(2) AB = CD

Still. Multiple possibilities. Trapezium, Rectangle, Square.

Insufficient

Both statements together are not enough. We can still have an example of Square (congruent) and Trapezium (not congruent)

Insufficient

Hence, the answer is Option (E).
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