Which four sided figure has adjacent sides that are unequal, yet has right angles?

Which four sided figure has adjacent sides that are unequal, yet has right angles?

• A. Square
• B. Rectangle
• C. Rhomboid
• D. Trapezoid

Answer: (B)

A four-sided figure with adjacent sides that are unequal and has right angles is a rectangle. In a rectangle, opposite sides are equal in length, while adjacent sides can differ, creating the characteristic of unequal adjacent sides. Additionally, rectangles are defined by their four right angles, ensuring that the angles between adjacent sides are 90 degrees. This distinguishes a rectangle from other quadrilaterals. A square, for instance, has all sides equal, which does not meet the criterion of having unequal adjacent sides. Similarly, while a rhomboid may have unequal sides and angles that are not right angles, it does not have the requirement of all angles being 90 degrees. A trapezoid might not have right angles at all, depending on its type, and generally has only one pair of parallel sides. Thus, the definition provided aligns perfectly with the properties of a rectangle, making it the correct choice.

A four-sided figure with adjacent sides that are unequal and has right angles is a rectangle. In a rectangle, opposite sides are equal in length, while adjacent sides can differ, creating the characteristic of unequal adjacent sides. Additionally, rectangles are defined by their four right angles, ensuring that the angles between adjacent sides are 90 degrees.

This distinguishes a rectangle from other quadrilaterals. A square, for instance, has all sides equal, which does not meet the criterion of having unequal adjacent sides. Similarly, while a rhomboid may have unequal sides and angles that are not right angles, it does not have the requirement of all angles being 90 degrees. A trapezoid might not have right angles at all, depending on its type, and generally has only one pair of parallel sides. Thus, the definition provided aligns perfectly with the properties of a rectangle, making it the correct choice.