Question

please give the properties of quadrilateral for 8th class

Answer 1

Heya......

Here's your answer.....

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               Types of quadrilaterals

There are five types of quadrilaterals.

•    Parallelogram

•    Rectangle

•    Square

•    Rhombus

•    Trapezium

One common property of all quadrilaterals is that the sum of all their angles equals 360°.

Properties of a parallelogram

•    Opposite sides are parallel and congruent.

•    Opposite angles are congruent.

•    Adjacent angles are supplementary.

•    Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.

•    If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle.

 Properties of a Rectangle

•    Opposite sides are parallel and congruent.

•    All angles are right.

•    The diagonals are congruent and bisect each other (divide each other equally).

•    Opposite angles formed at the point where diagonals meet are congruent.

•    A rectangle is a special type of parallelogram whose angles are right.

Properties of a square

•    All sides and angles are congruent.

•    Opposite sides are parallel to each other.

•    The diagonals are congruent.

•    The diagonals are perpendicular to and bisect each other.

•    A square is a special type of parallelogram whose all angles and sides are equal.

•    Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.

Properties of a Rhombus

•    All sides are congruent.

•    Opposite angles are congruent.

•    The diagonals are perpendicular to and bisect each other.

•    Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°).

•    A rhombus is a parallelogram whose diagonals are perpendicular to each other.

Properties of a Trapezium

•    The bases of the trapezium are parallel to each other (MN ⫽ OP).

•    No sides, angles and diagonals are congruent.

Thanks...!!!

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