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Can a rhombus be a parallelogram?
All rhombuses are paralleleograms. Rhombuses are parallelograms in which all four sides are the same length (and the opposite angles are congruent). Squares are rhombuses in which all four angles are right.
Do all rectangles have four congruent sides?
No, only those rectangles that are squares have four congruent sides.
Why is a parallelogram is not necessarily a rhombus?
The definition of a parallelogram is that it has four sides, the opposite sides are congruent and parallel, and opposite angles are congruent. This includes rectangles, squares, rhombuses, etc.The definition of a rhombus states that it is a parallelogram, but more specifically that all sides are congruent.So a rhombus is a parallelogram, but not all parallelograms are rhombuses.
What are properties of a rectangle?
A rectangle has four sides and four angles. A rectangle is a closed shape. All four angles of a rectangle are right angles. That is, they are 90 degrees. Opposite sides of a rectangle are the same length. Opposite sides of a rectangle are parallel. That is, if they were extended infinitely they wouldn't touch. ***Additionally, the diagonals of a rectangle are congruent (unlike other parallelograms), and they also bisect each other. While all parallelograms share the bisecting diagonals characteristic, only rectangles (and by extension squares) have congruent diagonals.***
What is a four-sided polygon with opposite sides parallel and congruent and four right angles?
A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.
