which statements are true of all squares? select three options. the diagonals are perpendicular. the…

which statements are true of all squares? select three options. the diagonals are perpendicular. the diagonals are congruent to each other. the diagonals bisect the vertex angles. the diagonals are congruent to the sides of the square. the diagonals are twice the length of one side of the square.

which statements are true of all squares? select three options. the diagonals are perpendicular. the diagonals are congruent to each other. the diagonals bisect the vertex angles. the diagonals are congruent to the sides of the square. the diagonals are twice the length of one side of the square.

Answer

Answer:

  • The diagonals are perpendicular.
  • The diagonals are congruent to each other.
  • The diagonals bisect the vertex angles.

Explanation:

Step1: Recall square properties

A square has perpendicular diagonals.

Step2: Recall congruency of diagonals

In a square, diagonals are equal in length (congruent).

Step3: Recall angle - bisecting property

Diagonals of a square bisect vertex angles.

Step4: Analyze side - diagonal relationships

Let side of square be (a), diagonal (d). By Pythagorean theorem (d = \sqrt{a^{2}+a^{2}}=\sqrt{2}a), so diagonals are not congruent to sides and not twice the length of a side.