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 equal sides/right angles, so a trapezoid is not a special square.
• A rectangle has four right angles but not all sides equal, while a rhombus has all sides equal but not necessarily right angles, so a rectangle is not a special rhombus.
• A kite has two distinct pairs of adjacent equal sides, which does not match the properties of a rectangle (opposite sides equal, four right angles), so a kite is not a special rectangle.
• A square has all the properties of a rectangle (four right angles, opposite sides equal and parallel) plus all sides equal, so it is a special type of rectangle.

Answer:

D. A square is a special type of rectangle.