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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

Respuesta :

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

  1. Bisecting diagonals
  2. Two pair of opposite parallel sides
  3. Two pair of opposite equal angles

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