Question

(1)... Difference between a quadrilateral and parallelogram...
what are the subdivision in both?

(2) Properties of Parallelogram and it's basic Theorem(no proof needed)

(3) Properties of Square and rectangle

(4) properties of a trapezium and kite

(5) properties of triangle and it's Theorem (without proof)

(6) Is quadrilateral just a division in polygon?

Answer 1

Hey!!!! ^_^


Here is your answer

1) A quadrilateral have four side . whose sum of total angle is 360° ..where as Parallelogram is quadrilateral whose pair of both sides are equal whose diagonal bisect each other and make 90°

==================================

2) Property of parallelogram ..

It's opposite side are equal and parallel
It's diagonal bisect each other and make 90° angle ..
Opposite angle of parallelogram are equal
_____________________________

1️⃣Theorem of parallelogram

If a quadrilateral had two sets of opposite side congruent then it is parallelogram
__________________________

2️⃣ Theorem

if quadrilateral has two sets of opposite angle congruent then it is parallelogram

===========================

3) Properties of square

Square has four side .and all sides are equal
it's each angle make 90° and all angle ore equal
Diagonal bisect each other
________________________

Properties of rectangle

Pair of two side are equal
Each angle is 90°
Diagonal bisect each other

=================================

4) Properties of Kite

The diagonal of kite meet at a right angle

kites have exactly one pair of opposite angle are congruent
_________________________
Properties of Trapezium

One pair of trapezium are parallel and unequal .

=============================

Property of triangle

Triangle have three side and three angle
Angle sum property of triangle is 180°

Theorem

Sum of length of two sides of is always greater than third side

===========================

5) Yes , Quadrilateral is a polygon having four side

==============================

$i \: hope \: it \: will \: help \: you$


Thank you
☺️

Answer 2

Hello! !

Here u go with your answers________

(1)

✔ Parallelogram itself is a type of a quadrilateral.

✴Types of Quadrilateral are:


Parallelogram , Square , Rectangle , Trapezium etc.

❇ subdivision in Parallelogram :
square , rectangle , rhombus etc.

-----------------------------------

(2)

✔Properties of Parallelogram :-

1. Opposite sides are parallel to each other.

2. Opposite sides are congruent.

3. Opposite angels are congruent.

4. Consecutive angles are supplementary. ( only applicable for square and rectangle)

5. The diagonals of a parallelogram bisect each other.

✔ Some Basic Theorem of Parallelogram:-

✴ Theorem 1:
In a parallelogram, the opposite sides are of equal length.

✴ Theorem 2:

If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram.

✴ Theorem 3:

A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

--------------------------------------

(3)

✔ Properties of square:-

1. All angles are right angles.

2. The diagonals are congruent.

3. All sides are congruent.

4. All angels are congruent.

5. Consecutive angles are supplementary.

✔ Properties of Rectangle:-

1. All angles are right angles.

2. The diagonals are congruent.

3. Opposite sides are congruent.

4. Opposite angels are congruent.

5. Consecutive angles are supplementary.

----------------------------------

(4)

✔ Properties of Trapezium:-

✴ One pair of opposite sides is parallel.

✔ Properties of Kite:-

1. Two disjoint pairs of consecutive sides are congruent.

2. The diagonals are perpendicular.

3. One diagonal is the perpendicular bisector of the other diagonal.

4. The main diagonal bisects a pair of opposite angles.

-----------------------------------

(5)

✔ Properties of Triangle :-

1. The sum of the angles in a triangle is 180°.

2. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

✴ Theorem 1 :
the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

✴ Theorem 2 :
The sum of the measure of the all angles of the triangle is 180°.

-------------------------------------

(6)

quadrilateral just a division in polygon.

Above statement is correct because,

 A quadrilateral is a polygon with four sides. 

________________________________________

Hope this answer will help u...

❤thanks...

@Neha