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A rectangle is a quadrilateral with four right angles. In a rectangle, all the angles are equal \((360°/4 = 90°)\). Furthermore, the opposite sides are parallel and equal, and diagonals bisect each other.
Properties of rectangles:
- Opposite sides of a rectangle are equal and parallel.
- All the angles of a rectangle are \(90°\).
- Diagonals of a rectangle bisect each other.
First Property of a rectangle: Opposite sides of a rectangle are equal and parallel.
\(AB = DC\) & \(BC = DA\)
Hence, Opposite side are equal and parallel
The Second property of the rectangle: All the angles of a rectangle are \(90°\).
Let us consider a rectangle \(ABCD\).
\(∠A = ∠B = ∠C = ∠D\)
Hence, each angle of a rectangle measures \(90°\).
Hence, each angle of a rectangle measures \(90°\).
The third property of rectangle: Diagonals of a rectangle bisect each other.
In rectangle \(ABCD\), diagonals bisect the angles.
\(OA = OC\) and \(OB = OD\)
Thus the diagonals bisect each other in a rectangle.
Thus the diagonals bisect each other in a rectangle.
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