Question

Decide whether the statement is always, sometimes, or never true. A square is a parallelogram, a rhombus, and a rectangle.

Answer 1

A parallelogram has each pair of opposing sides parallel, each pair of opposing sides equal and each pair of opposing angles equal. A square has this.

A rhombus has opposing sides parallel, all sides equal, opposing angles equal. A square has this.

A rectangle has opposing sides parallel, opposing sides equal and all internal angles equal. A square has this.

Since the square fits the properties for a parallelogram, a rhombus and a rectangle, it is always true that a square is a parallelogram, a rhombus and a rectangle.