begin array - c - c - Wline Quadrilateral - Propertiesillhline1 Trapezium - A A parallelogram -where diagonals bisect at right - angles and all sides equal having2 Square - B A quadrilateral where only one pair of opposite sides is parallel and unequal- whline3 Rectangle - C A parallelogram where diagonals are equal and all sides equal having all the angles - 90- -circ-4 Rhombus - D A parallelogram - where diagonals and opposite sides are equal having all the angle 90- -circ- Illhlinelendarray A- 1- C - 2- B - 3- A - 4- DB- 1- C - 2- B - 3- D - 4- AC- 1- A - 2- B - 3- C - 4- DD- 1- B - 2- C - 3- D - 4- A

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Area of a Parallelogram

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Question

$\begin{matrix} Q u a d r i l a t e r a l & P r o p e r t i e s 1) T r a p e z i u m & A) A p a r a l l e l o g r a m w h e r e d i a g o n a l s b i s e c t a t r i g h t a n g l e s a n d a l l s i d e s e q u a l h a v i n g n o n e o f t h e a n g l e e q u a l t o 90^{\circ} . 2) S q u a r e & B) A q u a d r i l a t e r a l w h e r e o n l y o n e p a i r o f o p p o s i t e s i d e s i s p a r a l l e l a n d u n e q u a l . 3) R e c t a n g l e & C) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a r e e q u a l a n d a l l s i d e s e q u a l h a v i n g a l l t h e a n g l e s 90^{\circ} . 4) R h o m b u s & D) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a n d o p p o s i t e s i d e s a r e e q u a l h a v i n g a l l t h e a n g l e 90^{\circ} . \end{matrix}$

1 – B, 2- C, 3- D, 4 - A

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1 – C, 2- B, 3- D, 4 - A

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1 – C, 2- B, 3- A, 4 - D

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1 – A, 2- B, 3- C, 4 - D

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Solution

The correct option is A
1 – B, 2- C, 3- D, 4 - A

In a trapezium, a pair of opposite sides are unequal and parallel.
In a square, all sides are of equal length and all angles are equal to $90^{\circ}$ .
In a rectangle, opposite sides are equal and parallel and all angles are equal to $90^{\circ}$ .
In a rhombus, all sides are equal and all angles are not equal to $90^{\circ}$ .

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Similar questions

Match the following:

$\begin{matrix} Q u a d r i l a t e r a l & P r o p e r t i e s 1. T r a p e z i u m & A) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s b i s e c t a t r i g h t a n g l e s, a l l s i d e s a r e e q u a l a n d n o n e o f t h e a n g l e s a r e e q u a l t o 90^{\circ} 2. S q u a r e & B) A q u a d r i l a t e r a l, w h e r e o n l y o n e p a i r o f o p p o s i t e s i d e s i s p a r a l l e l a n d u n e q u a l 3. R e c t a n g l e & C) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s a r e e q u a l, a l l s i d e s e q u a l a n d a l l t h e a n g l e s a r e 90^{\circ} 4. R h o m b u s & D) A p a r a l l e l o g r a m, w h e r e d i a g o n a l s a n d o p p o s i t e s i d e s a r e e q u a l, a n d a l l t h e a n g l e s a r e 90^{\circ} \end{matrix}$

Q. Find the quadrilateral with given property.

A. A parallelogram, where diagonals are equal,all sides equal and all the angles are

90^{\circ}

.

B. A parallelogram, where diagonals and opposite sides are equal, and all the angles are

90^{\circ}

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