Question

Which of the following statement is false?

1) The diagonals of the rectangle are congruent.
2) Diagonals of the rhombus are congruent and perpendicular to each other.
3) Opposite angles of a rhombus are ≅
4) Angles of a square are all right ∠s.

Answer 1

The false statement among the options provided is that diagonals of a rhombus are congruent and perpendicular while they are perpendicular they are not congruent.

Step-by-step explanation:

To evaluate which of the given statements regarding geometric figures is false, we must review the properties of each.

1. The diagonals of a rectangle are congruent.
2. Diagonals of a rhombus are congruent and perpendicular to each other.
3. Opposite angles of a rhombus are congruent.
4. Angles of a square are all right angles.

Out of the given statements the second one is false. In a rhombus, the diagonals are perpendicular but they are not congruent; instead, they bisect each other at right angles and split the rhombus into four right triangles.