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Properties of
1 rectangle
2 parallelogram
3 square
4 rhombus
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Answers
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.
Properties of parallelogram :
❍ Note :- Some properties are common in rectangle, parallelogram, Rhombus and Trapezium.
➢ A parallelogram in which each angle is a right angle is called a rectangle.
✮✮
➛ Opposite sides are equal .
➛ Opposite angles are equal.
➛ Diagonals bisect each other.
➛ Diagonals are equal in length.
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➢ A quadrilateral is called a parallelogram if both pairs of its opposite sides are parallel.
✮✮
➛ Opposite sides are equal.
➛ Opposite angles are equal.
➛ Diagonals bisect each other.
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➢ A parallelogram in which all sides are equal and each angle measures 90° is called a square.
✮✮
➛ Opposite sides are equal .
➛ Opposite angles are equal.
➛ Diagonals bisect each other.
➛ Diagonals are equal in length.
➛ Diagonals are perpendicular.
➛ Diagonals bisect vertex angles.
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➢ A parallelogram having all sides equal is called a rhombus.
✮✮
➛ Opposite sides are equal .
➛ Opposite angles are equal.
➛ Diagonals bisect each other.
➛ Diagonals are perpendicular.
➛ Diagonals bisect vertex angles.