Question

1. which of the following statements is true? a trapezoid is a special type of square. a rectangle is a special type of rhombus. a kite is a special type of rectangle. a square is a special type of rectangle.

Explanation:

• A trapezoid has only one pair of parallel sides, while a square has two pairs of parallel sides and all sides equal and all angles \(90^{\circ}\), so a trapezoid is not a special - type of square.
• A rectangle has four right angles and opposite sides equal, while a rhombus has all sides equal but not necessarily right angles (a square is a special case where both hold). So a rectangle is not a special type of rhombus.
• A kite has two pairs of adjacent sides equal, while a rectangle has four right angles and opposite sides equal. So a kite is not a special type of rectangle.
• A square has four right angles (like a rectangle) and all sides equal. So a square satisfies the properties of a rectangle (four right angles and opposite sides equal) with an additional property (all sides equal). So a square is a special type of rectangle.

Answer:

A square is a special type of rectangle.