Question

Complete the following statement with the word always, sometimes, or never.

A rectangle is ___ a rhombus.

Short answer

A rectangle is never a rhombus.

Step-by-step solution

Step 1. Apply the concept of rhombus and rectangle.

A rhombus is a quadrilateral whose four sides all have the same length.

A rectangle is a quadrilateral with four right angles and opposite sides equal.

Step 2. Step description.

A rectangle is a quadrilateral with all right angles and opposite sides congruent, also diagonals of a rectangle are congruent whereas a rhombus is a quadrilateral with all sides congruent and opposite angles congruent, also diagonals of a rhombus are not congruent.

Therefore, a rectangle does not possess the properties of a rhombus.

Step 3. Step description.

Since a rectangle does not possess the properties of a rhombus thus a rectangle is never a rhombus.

Therefore, a square is always a rectangle.