Is a Rectangle Always a Rhombus? Explain Your Reasoning

A rectangle is not always a rhombus. To understand why, let’s look at the definitions of both shapes.

A rectangle is a quadrilateral with four right angles. This means that all its interior angles are 90 degrees. Additionally, opposite sides of a rectangle are equal in length and parallel to each other.

On the other hand, a rhombus is a quadrilateral with all sides of equal length. This means that all four sides of a rhombus are the same length. However, the angles in a rhombus are not necessarily 90 degrees. In fact, a rhombus can have angles that are not right angles.

For a shape to be both a rectangle and a rhombus, it must satisfy the properties of both shapes. This means it must have four right angles and all sides must be of equal length. A shape that meets these criteria is called a square. Therefore, a square is both a rectangle and a rhombus.

In summary, while a rectangle and a rhombus share some properties, they are not the same. A rectangle is not always a rhombus unless it is a square.

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