Question

In a trapezium ABCD with AB || CD, it is given that AD is not parallel to BC. Is ΔABC ≅ ΔADC? Give reasons.

Answer 1

The figure below shows trapezium ABCD.

It is given that AB || CD.

In ΔABC and ΔADC:

… (1)

AC = AC … (2) (Common side)

To prove, we need one more condition. However, no extra information is given in the question.

Hence, ΔABCandΔADC are not congruent.