Question

In which of the following cases is the construction of a parallelogram possible?

• A. Measure of two adjacent sides.
• B. Measure of two consecutive sides and included angle.
• C. Measure of two adjacent sides and height are given.
• D. Measure of two diagonals.

Answer 1

Answer: (B), (C)

The correct options are
B Measure of two consecutive sides and included angle.
C Measure of two adjacent sides and height are given.

We know that, in a parallelogram
(i) Opposite sides are equal and parallel.
(ii) Opposite angles are equal.
(iii) Diagonals bisect each other.
Hence from the above properties, we require minimum 3 measurements.