Question

write the properties of the following quadrilaterals
1) rectangle
2)square
3)rhombus
4) parallelogram
5)trapezium
6)kite​

Answer 1

Answer:

1) Properties of rectangles

A rectangle has three properties:

All the angles of a rectangle are 90°

Opposite sides of a rectangle are equal and Parallel

Diagonals of a rectangle bisect each other

2)For a quadrilateral to be a square, it has to have certain properties. Here are the three properties of squares:

All the angles of a square are 90°

All sides of a square are equal and parallel to each other

Diagonals bisect each other perpendicularly

3)A rhombus is a quadrilateral which has the following four properties:

Opposite angles are equal

All sides are equal and, opposite sides are parallel to each other

Diagonals bisect each other perpendicularly

Sum of any two adjacent angles is 180°

4)quadrilateral satisfying the below-mentioned properties will be classified as a parallelogram. A parallelogram has four properties:

Opposite angles are equal

Opposite sides are equal and parallel

Diagonals bisect each other

Sum of any two adjacent angles is 180°

5)A trapezium is a quadrilateral in which the following one property:

Only one pair of opposite sides are parallel to each other

6)Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties

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Answer 2

The properties of the given quadrilaterals are as follows:

1. Rectangle

All angles of a rectangle are 90°.

Opposite sides are parallel and equal to each other.

The diagonals bisect each other.

2. Square

All angles of a square are 90°

All the sides of a square are parallel and equal to each other.

The diagonals bisect each other at 90°.

3. Rhombus

Opposite angles of a rhombus are equal.

All the sides of a rhombus are equal to each other and, opposite sides are parallel.

Diagonals are perpendicular bisectors of one another.

Sum of any two angles adjacent to each other is 180°

4. Parallelogram

Opposite angles of a parallelogram are equal.

Opposite sides are parallel and equal to each other.

Diagonals bisect each other.

Sum of any two angles adjacent to each other is 180°.

5. Trapezium

Out of the 4 sides only one pair of the opposite sides is parallel.

6. Kite

Two pairs of consecutive sides are congruent.

Non-vertex angles are congruent.

Diagonals are perpendicular to each other.

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