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Which statements are true of all squares? Check all that apply.

1. The diagonals are perpendicular.
2. The diagonals are congruent to each other.
3. The diagonals bisect the vertex angles.
4. The diagonals are congruent to the sides of the square.
5. The diagonals bisect each other.

Answer :

A square is a quadrilateral with all congruent sides and all congruent right angles.

Main properties:

  • the diagonals of a square are congruent to each other - option 2 is true;
  • the diagonals of a square are perpendicular and bisect each other - options 1 and 5 are true;
  • a square is a rhombus, because all sides are congruent. The diagonals of the rhombus are angles' bisectors, then the diagonals of the square are angles' bisectors too - option 3 is true.

Each diagonal of a square is always greater than side of a squre - option 4 is false.

Answer: correct options 1, 2, 3 and 5.

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Rewritten by : Jeany

Statements (1), (2), (3), and (5) are true: square of the diagonals are perpendicular, congruent to each other, bisect the vertex angles, and bisect each other.

What is a square?

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

We know in the square:

  • The sides of the square are equal in length.
  • The diagonals of the square are perpendicular and bisect each other.
  • The vertex angles in the square are bisected by the diagonals.
  • The diagonals are congruent to each other.
  • In a square the sum of the internal angles is 360°

From the properties of the square the statements (1), (2), (3), and (5) are true.

Thus, the square of the diagonals are perpendicular, congruent to each other, bisect the vertex angles, and bisect each other.

Learn more about the square here:

https://brainly.com/question/14198272

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