Tag: maths

Questions Related to maths

A quadrilateral which has exactly one pair of parallel sides is called as?

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. a parallelogram

  2. a rectangle

  3. a trapezium

  4. a kite

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Correct Option: C
Explanation:

$\because$ Trapezium is having exactly one pair of parallel sides

Option $C$  is correct.

If ABCD is an isosceles trapezium, $\angle{C}$ is equal to 

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. $\angle{B}$

  2. $\angle{A}$

  3. $90^\circ$

  4. $\angle{D}$

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Correct Option: D
Explanation:

If ABCD is a isosceles trapezium , $\angle C\quad will\quad be\quad equal\quad to\quad \angle D $
because angles on either side of the bases are same measure/size(congruent) in a isosceles trapezium.

Square is not a

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. rhombus

  2. rectangle

  3. trapezium

  4. parallelogram

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Correct Option: C
Explanation:

The definition of a square does not comply with the definition of a trapezoid. 

The definition of a trapezoid is a quadrilateral (a closed plane figure with 4 sides) with exactly one pair of parallel sides. 

On the other hand, a square is a very special kind of quadrilateral; 
A square is also a rectangle because it has two sets of parallel sides and four right angles. 
A square is also a parallelogram because its opposite sides are parallel. 
A square is always a rhombus. A rhombus is a quadrilateral with four congruent sides. If the rhombus has 4 right angles it may also be called a square. So every square is a rhombus.

Hence square is not a trapezium.

If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3:7:6:4 then PQRS is a

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. rhombus

  2. parallelogram

  3. trapezium

  4. kite

Show answer
Correct Option: C
Explanation:

Let the ABCD is a quadrilateral witch $\angle A, \angle B,\angle Cand \angle D$ in ratio  3:7:6:4

Sum of ratio 3+7+6+4=20
$\angle A+ \angle B+\angle C + \angle D=360^{0}$
$\therefore \angle A=\frac{3}{20}\times 360=54^{0}$
$\therefore \angle B=\frac{7}{20}\times 360=126^{0}$
$\therefore \angle c=\frac{6}{20}\times 360=108^{0}$
$\therefore \angle D=\frac{4}{20}\times 360=72^{0}$
Then  ABCD is a quadrilateral is trapezium

Which of the following is not an example of a trapezium ?

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. Kite

  2. Rhombus

  3. Square

  4. Parallelogram

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Correct Option: A
Explanation:

Kite has no set of parallel lines , while trapezium at least has one set of parallel lines.
Therefore, A is the correct answer.

A kite has only .................. pair of equal angles.

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. $1$

  2. $4$

  3. $6$

  4. $3$

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Correct Option: A
Explanation:

A kite is a quadrilateral which is not a parallelogram and its adjacent sides are equal which make the angles by the adjacent pairs are also equal.
Therefore, A is the correct answer.

A quadrilateral that is not a parallelogram but has exactly two equal opposite angles is a _____.

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. rhombus

  2. trapezium

  3. square

  4. kite

Show answer
Correct Option: D
Explanation:

The mentioned statement is the property of kite so correct option is D

A trapezium in which no parallel sides are equal is said to be ___________.

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. Right trapezium

  2. Equilateral trapezium

  3. Isosceles trapezium

  4. None of these

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Correct Option: C
Explanation:

Isosceles trapezium doesn't have parallel sides equal but it has a property that there is a line of symmetry bisecting one pair of opposite sides.

In a trapezium  $A B C D , A B |D C$  and  $D C = 2 A B .EF$  drawn parallel to  $AB$  cuts $AD$  in  $F$  and  $B C$  in E such that $ \dfrac { BE }{ EC } =\dfrac { 3 }{ 4 } $ Diagonal $DB $  intersects  $ EF$  at  $G$  then $7 \mathrm { FE } = 10 \mathrm { AB } .$

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. True

  2. False

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Correct Option: A

The ratio of the measures of the consecutive angles of a quadrilateral is 1:2:3:4. What type of quadrilateral is it

maths construction of quadrilaterals trapeziums and kites quadrilaterals and their properties closed figures

  1. Trapezium

  2. Kite

  3. Parallelogram

  4. Rectangle

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Correct Option: A