If in a parallelogram one angle is 90 degrees then all angles are 90 degrees.Ĭonsider a parallelogram ABCD, where it is given that L BCD = 90°. A square of a diagonal length is equal to a sum of squares of its sides lengths. The corner angles all are right angles (90°).ģ. The rectangle has following special properties:ġ. Diagonals of a parallelogram bisect each other in their intersection point. Opposite angles of a parallelogram are equal.ģ. Opposite sides of a parallelogram are equal.Ģ. The properties of a Parallelogram common to rectangle are:ġ. Hence a rectangle has all the properties of a parallelogram. Further we are going to build a deep understanding of their properties and will prove them simultaneously.Ī parallelogram in which each angle is 90 degrees is called a rectangle. In this lesson we are going to deal with rectangles and their basic properties. Yes, every rectangle is a parallelogram since the opposite sides of rectangles are parallel and equal.A rectangle is one of the most commonly known quadrilaterals. The different types of quadrilaterals are– parallelogram, trapezium or trapezoid, rectangle, square, kite, and rhombus. What Are the Different Types of Quadrilaterals? The 3 special parallelograms are rectangle, square, and rhombus. This holds true for a square.Therefore, a square can be a rectangle and a rhombus. If a parallelogram is both a rectangle and a rhombus, then all its sides should be equal and all its angles should be equal to 90°. Which Parallelogram Is Both a Rectangle and a Rhombus? The sum of the interior angles of a quadrilateral is equal to 360°. What Is the Sum of the Interior Angles of a Quadrilateral? In a square, all four sides are of the same length and all angles are equal to 90°.Ī rhombus can become a rectangle only if all four angles of the rhombus are 90°.In a rhombus, all four sides are of the same length and its opposite sides are parallel.In a parallelogram, the opposite sides are parallel and equal.The following points show the basic difference between a parallelogram, a square, and a rhombus: The following table shows a summary and a comparison of the properties of special parallelograms: rhombus, square & rectangle.įAQs on Special Parallelograms: Rhombus, Square & Rectangle What Is the Difference Between a Parallelogram, a Square, and a Rhombus? The diagonals MO and PN are congruent and bisect each other.Observe the rectangle MNOP and note the properties listed below: Some of the real-life examples of a rectangle are books, mobile phones, etc. The diagonals GE and FD bisect each other at right angles.Ī rectangle is a two-dimensional quadrilateral in which the opposite sides are equal and parallel and all its angles are equal.The opposite sides are parallel to each other.Observe the square GDEF and note the properties listed below: Some of the real-life examples of a square are a slice of bread, chessboard etc. It is a special parallelogram in which all angles and sides are equal. Adjacent angles in a rhombus are supplementary (For example, ∠A + ∠B = 180°).Ī square is a two-dimensional quadrilateral with four equal sides and four equal angles.The diagonals AC and BD bisect each other at right angles.Observe the rhombus ABCD and note the properties listed below: Some of the real-life examples of a rhombus are kite, diamond, etc. It is a parallelogram whose diagonals are perpendicular to each other. Rhombus:Ī rhombus is a two-dimensional quadrilateral in which all the sides are equal and the opposite sides are parallel. Let us learn about each of them in this section. Each special parallelogram has specific properties of its o wn.
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