Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? select all that apply.

four equal sides
bisecting diagonals
two pair of opposite parallel sides
two pair of opposite equal angles

Bisecting diagonals

Two pair of opposite parallel sides

Two pair of opposite equal angles

Solution:

Let us first define the properties of parallelogram.

The opposite sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.

Now, let us define the properties of square.

All four sides of a square are equal.Opposite sides of a square are parallel.Opposite sides of a square are equal.Opposite angles of a square are equal.Diagonals bisect each other at 90°.

From these properties, we can conclude that  every square can always be classified as a parallelogram if

Bisecting diagonalsTwo pair of opposite parallel sidesTwo pair of opposite equal angles

Iam guessing c. or d.

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