show that diagonals of a square are equal and bisect each other at right angles

Which of the following statements is/are incorrect? 1. A square is a rhombus but a rhombus is not a square. 2. Both square and rhombus have four congruent sides. 3. Diagonals bisect each other at right angles in both squareh..

Which of the following statements is/are true for a square and a rectangle? 1. The diagonals bisect each other at right angles. 2. The diagonals are equal. 3. All sides are equal. 4. The opposite angles are ..

Which of the following statements is/are incorrect? 1.The opposite sides of both rhombus and rectangle are equal. 2.The diagonals of a rhombus bisect each other at right angles whereas in rectangle the diagonals just bisect each ..

A square is a parallelogram having all its sides equal and all its angles equal. Its other properties are: (i) The diagonals bisect each other at right angles and are equal. (ii) The diagonals ..

Which of the following statements is/are correct? 1. In a rhombus and a square, the diagonals bisect each other. 2. In a rhombus and a square, the diagonals are perpendicular. 3. All the sides in a rhombus and a square are equal...

A square is a rectangle with a pair of its consecutive sides equal. Since square is a rectangle, each angle of a rectangle is a right angle and AB=DC, BC=CD. Thus AB=BC=CD=AD. Each of the four angles of a square is a ..

The figure, ABCD is a square. What type of triangles are formed, if the square is divided along the diagonal BD to form two triangles? => Two isosceles right triangles or Two equilateral triangles or Two scalene triangles or Two acute angle triangle..

Identify a quadrilateral that has four equal sides, parallel opposite sides, and no right angle. => rhombus or square or trapezoid or rectangle..

In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. Each interior angle of a regular polygon is If the sides of a convex polygon are produced, in order, the sum of the exterior angles is 4..

Which conjecture is true about a rectangle? => If the diagonals of a parallelogram are congruent, then it is a rectangle. or If both diagonals perpendicularly bisect each other, then the quadrilateral is a rectangle. or If only one pair of opposite angles is ..