please explain me the properties of 'Rohmbus,Trapezium,Parallelogram.
please please please
Answers
hey mate!
here's your answer:
- The rhombus has the following properties:
- All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).
- All sides are congruent by definition.
- The diagonals bisect the angles.
- The diagonals are perpendicular bisectors of each other.
- The rectangle has the following properties:
- All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).
- All angles are right angles by definition.
- The diagonals are congruent.
- The square has the following properties:
- All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles).
- All the properties of a rectangle apply (the only one that matters here is diagonals are congruent).
- All sides are congruent by definition.
- All angles are right angles by definition.
i hope it will helps you
please mark my answer as brainlist
Parallelogram
Parallelogram Properties
Properties of a parallelogram
Opposite sides are parallel and congruent.
Opposite angles are congruent.
Adjacent angles are supplementary.
Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.
If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle.
Important formulas of parallelograms
Area = L * H
Perimeter = 2(L+B)
Rectangles
Rectangle Properties
Properties of a Rectangle
Opposite sides are parallel and congruent.
All angles are right.
The diagonals are congruent and bisect each other (divide each other equally).
Opposite angles formed at the point where diagonals meet are congruent.
A rectangle is a special type of parallelogram whose angles are right.
Important formulas for rectangles
If the length is L and breadth is B, then
Length of the diagonal of a rectangle = √(L2 + B2)
Area = L * B
Perimeter = 2(L+B)
Squares
Squares Properties
Properties of a square
All sides and angles are congruent.
Opposite sides are parallel to each other.
The diagonals are congruent.
The diagonals are perpendicular to and bisect each other.
A square is a special type of parallelogram whose all angles and sides are equal.
Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.
Important formulas for Squares
If ‘L’ is the length of the side of a square then length of the diagonal = L √2.
Area = L2.
Perimeter = 4L
Rhombus
Rhombus Properties
Properties of a Rhombus
All sides are congruent.
Opposite angles are congruent.
The diagonals are perpendicular to and bisect each other.
Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°).
A rhombus is a parallelogram whose diagonals are perpendicular to each other.
Important formulas for a Rhombus
If a and b are the lengths of the diagonals of a rhombus,
Area = (a* b) / 2
Perimeter = 4L