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Triangles ABD and ADC are Right Angled Triangles right angled at L DAC and L ADC respectively. Diagonals of a rectangle are equal.Ĭonsider two Triangles ABD and ADC containing two diagonals BD and AC respectively. Hence, all angles in a rectangle are equal to 90 degrees. Hence, by the Sum of angles property in a parallel lines,Īgain, by the property of parallelogram that opposite angles are equal,

Since opposite angles in a parallelogram are equal, we have 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. A rectangle is one of the most commonly known quadrilaterals.