### Theory:

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.Properties of rectangles:

- Opposite sides are
**parallel**and equal. - All the interior angles are \(90°\).
- Diagonals bisect each other.

**The**

**The first property of a rectangle**:**Opposite sides are**

**parallel**and

**equal**.

Consider a rectangle \(ABCD\),

**Opposite sides are parallel**: \(AB\) $\parallel $ \(CD\) & \(AC\) $\parallel $ \(BD\).

**Opposite sides are equal**: \(AB = CD\) & \(AC = BD\).

**All the interior angles are \(90°\).**

**The second property of the rectangle**:Consider a rectangle \(ABCD\).

**Interior angles are**\(90°\): \(∠A = ∠B = ∠C = ∠D = 90°\).

**Diagonals bisect each other.**

**The third property of rectangle**: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 \(OB = OC\).