Which of the following is a property of square?

Opposite sides of a square are neither parallel nor equal in length.

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The diagonals of a square bisect each other and meet at 90°

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All four angles of a square are unequal in length.

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All four sides of a square are unequal in length.

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Solution

The correct option is B The diagonals of a square bisect each other and meet at 90°
The following are the properties of a square:
1. Opposite sides of a square are both parallel and equal in length.
2. The diagonals of a square bisect each other and meet at 90°.
3. All four angles of a square are equal.
4. All four sides of a square are equal.

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Q. Which property of a square would be used in the construction of a square of diagonal

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Which of the following conditions are necessary and sufficient for a quadrilateral to be a square?

(1)All sides are of same length

(2) All angles are equal

(3) Diagonals are perpendicular to each other

(4) Diagonals are of same length

(5) Opposite sides should be parallel

Match the following:

$\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides is parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

To construct a square of diagonal AC =6.2 cm which of the following properties of a square do we use?

Say True of False:

(a) Each angle of a rectangle is a right angle.

(b) The opposite sides of a rectangle are equal in length.

(d) All the sides of a rhombus are of equal length.

(e) All the sides of a parallelogram are of equal length.

(f) The opposite sides of a trapezium are parallel.

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