The diagonals of the rectangle are congruent by the rule of side angle side.
It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
We have a rectangle HIJK
In the triangle HKJ and triangle KHI:
KJ = HI (congruent sides)
Side HK of triangle HKJ = side HK of triangle KHI (common side)
Angle IHK = JKH (right angle)
∴ ΔHKJ ≅ ΔKHI
By SAS rule of congruence.
HJ = Ik
Thus, the diagonals of the rectangle are congruent by the rule of side angle side.
Learn more about the rectangle here:
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