Is a rhombus regular because the sides are congruent is this statement true or false. Explain reasoning,
A regular polygon has all of its' sides
equal and all of its' interior angles
equal.
Your statement is True, but it does not give the complete definition of a regular polygon; because it did not include the interior angles.
The statement that a rhombus is regular because its sides are congruent is false. A rhombus is a special type of quadrilateral where all four sides are equal in length. However, for a shape to be considered regular, it not only needs to have congruent sides but also equal interior angles.
In a rhombus, the opposite angles are congruent, but the other two angles are not. This means that the interior angles of a rhombus are not all equal, which is a key characteristic of regular polygons.
To determine if a shape is regular, you need to check both the sides and the angles. In the case of a rhombus, while its sides are congruent, it does not meet the condition of having equal interior angles. Therefore, a rhombus is not considered regular.