Why is a rhombus a special parallelogram?
A rhombus is a quadrilateral with all equal sides. It is also a parallelogram with all of the associated properties. Theorem 52: The diagonals of a rhombus bisect opposite angles. Theorem 53: The diagonals of a rhombus are perpendicular to one another.Click to see full answer. Also question is, why is a rhombus a special…
A rhombus is a quadrilateral with all equal sides. It is also a parallelogram with all of the associated properties. Theorem 52: The diagonals of a rhombus bisect opposite angles. Theorem 53: The diagonals of a rhombus are perpendicular to one another.Click to see full answer. Also question is, why is a rhombus a special type of parallelogram?A rhombus is a quadrilateral that has four congruent sides and includes all the properties of a parallelogram. A rhombus has additional properties, which are that its consecutive sides are congruent; its diagonals bisect pairs of opposite angles; and its diagonals are perpendicular to each other.Likewise, why is a rhombus special? A rhombus is a special case of a parallelogram, because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram. Similarly, is a parallelogram a rhombus? DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.What are special parallelograms?A parallelogram may be equiangular (four identical angles), equilateral (four identical side lengths), or both equiangular and equilateral. An example of a special parallelogram that is both equiangular and equilateral is the square.
