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A rectangle is a  four right-angled quadrilateral. All angles in a rectangle are equal to 360°/4 = 90°. Moreover, the opposite sides are equal and parallel, and the diagonals bisect each other.
rectangle (1).png
 
Properties of rectangles:
  • Opposite sides are parallel and equal.
  • All the interior angles are 90°.
  • Diagonals bisect each other.
The first property of a rectangle: The Opposite sides are parallel and equal.
parallel and equal (1).png
 
Consider a rectangle ABCD,
 
Opposite sides are parallel: AB  CD & AC  BD.
 
Opposite sides are equal: AB = CDAC = BD.
The second property of the rectangle: All the interior angles are 90°.
angle.png
 
Consider a rectangle ABCD.
 
Interior angles are 90°: ∠A = ∠B = ∠C = ∠D = 90°.
The third property of rectangle: Diagonals bisect each other.
diagonals.png
 
Consider a rectangle ABCD with diagonals AD and BC.
 
The diagonals AD and BC meet at point O.
 
Here the point O dividing the diagonal into two equal parts.
 
Diagonals bisect each other: OA = OD and OB = OC.