‘The diagonals of a rhombus bisect each other at right angles. We have proved that the opposite sides of a parallelogram are equal, so if two adjacent sides are equal, then all four sides are equal and it is a rhombus.
Q. How do you know if the quadrilateral is a parallelogram rectangle rhombus or a square?
Solution: A rhombus has four congruent sides and a square has four congruent sides and angles. Therefore, a rhombus is a square when it has congruent angles. This means a rhombus is SOMETIMES a square. Solution: A rectangle has two sets of parallel sides, so it is ALWAYS a parallelogram.
Table of Contents
- Q. How do you know if the quadrilateral is a parallelogram rectangle rhombus or a square?
- Q. Why are a rhombus and a square both Quadrilaterals?
- Q. Which quadrilateral can be classified as a parallelogram rectangle square and rhombus?
- Q. Why is a rhombus a parallelogram but a parallelogram not a rhombus?
- Q. What is the difference between parallelogram and rhombus?
- Q. How do you find the diagonal of a rhombus?
Q. Why are a rhombus and a square both Quadrilaterals?
A square is a plane figure bounded by four sides with all angels right and all sides equal. If a quadrilateral is both rectangle and a rhombus then the quadrilateral will have all angels right and all sides equal. Therefore, if a quadrilateral is a rectangle and also a rhombus then it is a square.
Q. Which quadrilateral can be classified as a parallelogram rectangle square and rhombus?
Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)
Q. Why is a rhombus a parallelogram but a parallelogram not a rhombus?
Summary: In a parallelogram, the opposite sides are equal whereas in a rhombus all four sides are equal. In a parallelogram, the diagonals bisect each other whereas in a rhombus they do not bisect each other. In a rhombus, the diagonals intersect each other at right angles and hence are perpendicular to each other.
Q. What is the difference between parallelogram and rhombus?
Mention the key difference between the rhombus and parallelogram. In a rhombus, all the four sides are equal and the diagonals intersect at 90 degrees, whereas in a parallelogram, the opposite sides are equal and the diagonals bisect each other.
Q. How do you find the diagonal of a rhombus?
The diagonals of a rhombus are perpendicular to each other by making 4 right triangles when they intersect each other at the centre of the rhombus. Step 2: Find the length of diagonal 2, i.e. d2 which is the distance between B and D. Step 3: Multiply both the diagonals, d1, and d2. Step 4: Divide the result by 2.
