MCQ

MCQ 11 Mark

A square has:

A
All sides equal and diagonals unequal.
✓
All sides equal and diagonals equal.
C
All sides unequal and diagonals equal.
D
None of these.

Answer

Correct option: B.

All sides equal and diagonals equal.

In a square, all the sides are equal. All of its diagonals are also equal.

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MCQ 21 Mark

A quadrilateral whose opposite sides are parallel is called:

A
A rhombus.
B
A kite.
C
A trapezium.
✓
A parallelogram.

Answer

Correct option: D.

A parallelogram.

A parallelogram is a quadrilateral whose opposites sides are parallel.

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MCQ 31 Mark

An isosceles trapezium has:

A
Equal parallel sides.
✓
Equal non parallel sides.
C
Equal opposite sides.
D
None of these.

Answer

Correct option: B.

Equal non parallel sides.

The non$-$parallel sides of an isosceles trapezium are equal.

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MCQ 41 Mark

A quadrilateral having one and only one pair of parallel sides is called:

A
A parallelogram.
B
A kite.
C
A rhombus.
✓
A trapezium.

Answer

Correct option: D.

A trapezium.

A trapezium is a quadrilateral that has only one pair of parallel sides.

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MCQ 51 Mark

The sum of all the angles of a quadrilateral is:

A
$180^\circ$
B
$270^\circ$
✓
$360^\circ$
D
$400^\circ$

Answer

Correct option: C.

$360^\circ$

The sum of all the angles of a quadrilateral is $360^\circ .$

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MCQ 61 Mark

The angles of a quadrilateral are in ratio $3 : 4 : 5 : 6.$ The largest of these angles is:

A
$90^\circ$
✓
$120^\circ$
C
$150^\circ$
D
$102^\circ$

Answer

Correct option: B.

$120^\circ$

Let the angles of a quadrilateral be $3x, 4x, 5x$ and $6x.$
Sum of all the angles of a quadrilateral is $360^\circ .$
Therefore, $3x + 4x + 5x + 6x = 360^\circ$
$\Rightarrow 18x = 360^\circ$
$\Rightarrow\text{x}=\frac{360}{18}$
$\Rightarrow x = 20^\circ$
So,
$3x = 60^\circ$
$4x = 80^\circ$
$5x = 100^\circ$
$6x = 120^\circ$
The largest of these angles is $120^\circ .$
So, the correct answer is given in option $(b).$

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MCQ 71 Mark

What do you mean by regular quadrilateral?

A
A rectangle.
B
A rhombus.
✓
A square.
D
A trapezium.

Answer

Correct option: C.

A square.

The only regular quadrilateral is a square. This is because of all its sides and angles are equal.

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MCQ 81 Mark

The three angles of a quadrilateral are $80^\circ , 70^\circ$ and $120^\circ .$ The fourth angle is:

A
$110^\circ$
B
$100^\circ$
✓
$90^\circ$
D
$80^\circ$

Answer

Correct option: C.

$90^\circ$

The three angles of a quadrilateral are $80^\circ , 70^\circ$ and $120^\circ .$
Let the fourth angle be $x.$
We know that the sum of all the angles of a quadrilateral is $360^\circ .$
$80^\circ + 70^\circ + 120^\circ + x = 360^\circ$
$\Rightarrow 270^\circ + x = 360^\circ$
$\Rightarrow x = 360^\circ – 270^\circ$
$\Rightarrow x = 90^\circ$
Thus, the fourth angle is $90^\circ .$

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MCQ 91 Mark

A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides, is called $:$

A
Trapezium.
B
Parallelogram.
✓
Kite.
D
Rectangle.

Answer

Correct option: C.

Kite.

A kite has two pairs of equal adjacent sides, but unequal opposite sides.

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MCQ 101 Mark

If the diagonals of a quadrilateral bisect each other at right angles, this quadrilateral is:

A
A rectangle.
✓
A rhombus.
C
A kite.
D
None of these.

Answer

Correct option: B.

A rhombus.

The diagonals of a rhombus bisect each other at right angle.

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