Question

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

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 bisect each other.

Answer 1

the following statements are true:
1,2,3,and 5

Answer 2

Answer: The diagonals are perpendicular.

The diagonals are congruent to each other.

The diagonals bisect the vertex angles.

The diagonals bisect each other.

Explanation:

A square is a quadrilateral whose all sides are equal in measure and all angles are right angle.

It is also a rhombus and the diagonals of rhombus are perpendicular bisector of each other .

Therefore, for square the true statements are:-

The diagonals bisect each other.

The diagonals are perpendicular.

The diagonals are congruent to each other. If we divide the square in two triangles, we will see the triangles will be congruent by SSS congruenct rule.{side diagonal side}

⇒ The diagonals bisect the vertex angles. [ by CPCT]