Question

To construct a parallelogram whose one side and two diagonals are given, which property of the parallelogram do we use?

• A. Opposite sides are equal.
• B. Diagonals bisect each other.
• C. Diagonals bisect each other at ${90}^{\circ }$.
• D. Opposite angles are equal.

Answer 1

The correct option is B

Diagonals bisect each other.

In a parallelogram we know that diagonals bisect each other. Using this property, we can construct $\Delta DOC$ if the diagonals and the measure of DC is given or $\Delta AOD$ if the diagonals and the measure of AD is given. From this, we can construct the parallelogram ABCD.