- A rhombus had four sides and four angles - All four sides of a rhombus are congruent - Both pairs of opposite angles of a rhombus are congruent - One angle of a rhombus is supplementary to both of its consecutive angles - The diagonals of a rhombus bisect each other and are perpendicular - Both pairs of opposite sides of a rhombus are parallel
If a quadrilateral has four congruent sides but its diagonals are not congruent then the quadrilateral is a?
Very clever question! The answer is yes, they can. A square is, in fact, a rhombus. It's a special case of one. A rhombus is a quadrilateral with four equal sides. A square fits that description except it also has four equal angles. So, if you have two identical squares, you can actually say that you have a rhombus that is congruent to a square! I hope your teacher didn't mark you wrong if you…
A rhombus is a quadrilateral whose four sides are congruent. Squares are a type of rhombus with congruent angles. Since there are 4 contruent angles, they must all be right angles. So any quadrilateral that is equilateral is a rhombus and any rhombus with 4 right angles is a square. Every rhombus is a parallelogram because the opposite angles of a rhombus are congruent. Also, the diagonals of a rhombus are perpendicular.