Question

Read the information given below and identify, which special type of quadrilateral PQRS

is(diagram of each kind should be drawn)

(i) PQ = QR = RS = SP, ∠P = 90 and PQ║RS, RQ ║ PS.

(ii) PQ = PS; QR = RS and PR ⊥ QS

(iii) PQ ║ SR, QR ║ PS and PQ = QR = RS = SP

(iv) PQ ║ SR and QR ║ PR

(v) PQ ║ SR and QR ║ PR and ∠P = 90

(vi) QR ║ PS only​

Answer 1

${\sf{\Huge{\underline{\underline{\red{\sf{\dag{Answer\dag}}}}}}}}$

1 :- Square

2 :- Kite

3 :- Rhombus

4 :- Parallelogram

5 :- Rectangle

6 :- Trapezium

Answer 2

Step-by-step explanation:

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Explanation:

1. $\bold{Square}$
2. $\bold{Kite}$
3. $\bold{Rhombus}$
4. $\bold{Parallelogram}$
5. $\bold{Rectangle}$
6. $\bold{Trapezium}$

$\huge\mathbb{Properties :}$

Square:

• All four sides are equal.
• All four Angles equal to 90 formed at every corner
• Diagonal bisects each other at 90°

Kite :

• Two angles are equal
• shorter and longer sides are equal to each other .

Parallelogram:

• opposites sides and angles are equal
• Diagonals divide the parallelogram into 2 congruent triangle.

Rectangle:

• Opposite sides of Rectangle are equal and parallel to each other
• Each Interior angles formed of 90°
• Sum of all Interior angle is equal to 360°

Rhombus :

• All sides are equal
• Opposite sides and angles are equal
• Diagonals bisects each other and make an angle of 90°

Trapezium:

• The sum of all Interior angle is 360°
• Two sides are parallel
• The angle formed between the parallel and non-parallel sides makes them 180°