CBSE Questions for Class 9 Maths Quadrilaterals Quiz 8 - MCQExams.com

The angles of a quadrilateral are in the ratio $$ 1 : 2 : 3 : 4 $$ . Then the smallest angle is:
  • $$ 72^{\circ} $$
  • $$ 144^{\circ} $$
  • $$ 36^{\circ} $$
  • $$ 18^{\circ} $$
What is the maximum number of obtuse angles that a quadrilateral can have ? 
  • $$ 1 $$
  • $$ 2 $$
  • $$ 3 $$
  • $$ 4 $$
If two adjacent angles of a parallelogram are in the ratio $$ 2 : 3 $$ , then the measure of angles are:
  • $$ 72^{\circ} , 108^{\circ} $$
  • $$ 36^{\circ} , 54^{\circ} $$
  • $$ 80^{\circ} , 120^{\circ} $$
  • $$ 96^{\circ} , 144^{\circ} $$
Which of the following can be four interior angles of a quadrilateral ?
  • $$ 140^{\circ} , 40^{\circ} , 20^{\circ} , 160^{\circ} $$
  • $$ 270^{\circ} , 150^{\circ} , 30^{\circ} , 20^{\circ} $$
  • $$ 40^{\circ} , 70^{\circ} , 90^{\circ} , 60^{\circ} $$
  • $$ 110^{\circ} , 40^{\circ} , 30^{\circ} , 180^{\circ} $$
State whether the statements are true (T) or (F) false:
Sum of all the angles of a quadrilateral is $$ 180^{\circ} $$.
  • True
  • False
State whether the statements are true (T) or (F) false:
A quadrilateral can have all four angles as obtuse.
  • True
  • False
Area of a quadrilateral ABCD is $$20 cm^2$$ and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is
  • 4 cm
  • 15 cm
  • 16 cm
  • 18 cm
Write True or False and justify your answer in each of the following : 
In Fig. $$ 10.10 $$ , if AOB is a diameter and $$ \angle $$ ADC = $$ 120^{\circ} $$ , then $$ \angle $$ CAB = $$ 30^{\circ} $$.
1795104_489e590813af4d34ac9fd1073aa75eea.png
  • True
  • False
In a quadrilateral $$PQRS, \angle P, \angle Q, \angle R$$ and $$\angle S$$ are interior angles. If $$\angle P: \angle Q: \angle R: \angle S = 1:2:3: 4$$, then which angle is equal to $$144^\circ$$.
  • $$\angle P$$
  • $$\angle Q$$
  • $$\angle R$$
  • $$\angle S$$
Three angles of quadrilateral are $$ 47^{\circ}, 102^{\circ} $$ and $$ 111^{\circ} $$, then the fourth angle is equal to:
  • $$ 102^{\circ} $$
  • $$ 100^{\circ} $$
  • $$ 360^{\circ} $$
  • $$ 260^{\circ} $$
Of the following statements, the one that is incorrect for a parallelogram is:
  • Opposite sides are equal.
  • Opposite angles are equal
  • Opposite angles are bisected by the diagonals
  • Diagonals bisect each other.
The figure formed by joining the mid-points of the sides of a quadrilateral $$ABCD$$, taken in order, is a square only if,
  • $$ABCD$$ is a rhombus
  • diagonals of $$ABCD $$ are equal
  • diagonals of $$ABCD$$ are equal and perpendicular
  • diagonals of $$ABCD$$ are perpendicular.
State whether the statements are true (T) or (F) false.
Every kite is a parallelogram.
  • True
  • False
The quadrilateral formed by joining the mid-points of the sides $$AB,BC,CD,DA$$ of a quadrilateral $$ABCD$$ is
  • a trapezium but not a parallelogram
  • a quadrilateral but not a trapezium
  • a parallelogram only
  • a rhombus
Which of the following statements is INCORRECT ?
  • Each diagonal of a quadrilateral divides it into two triangles.
  • Each side of a quadrilateral is less than the sum of the renraining three sides
  • A quadriiateral can have atmost three angles
  • A quadrilateral has two diagonals.
In the figure given, $$M$$ is the midpoint of the side $$CD$$ of the parallelogram $$ABCD$$. What is $$ON:OB$$?
551949.PNG
  • $$3:2$$
  • $$2:1$$
  • $$3:1$$
  • $$5:2$$
The angles of a quadrilateral are in the ratio 2: 4 : 5 :What is the difference between the measures of its largest and smallest angles?
  • $$20^o$$
  • $$80^o$$
  • $$100^o$$
  • $$140^o$$
$$ABC$$ is a triangle in which $$AB=AC$$. Let $$BC$$ be produced to $$D$$. From a point $$E$$ on the line $$AC$$ let $$EF$$ be a straight line such that $$EF$$ is parallel to $$AB$$. Consider the quadrilateral $$ECDF$$ thus formed. If $$\angle ABC={65}^{o}$$ and $$\angle EFD={80}^{o}$$, then what is $$\angle FDC$$ equal to?
  • $${42}^{o}$$
  • $${41}^{o}$$
  • $${37}^{o}$$
  • $${35}^{o}$$
If $$ABC$$ is a triangle, right-angled at $$B$$ and $$M,N$$ are midpoints of $$AB$$ and $$BC$$ respectively, then what is $$4({AN}^{2}+{CM}^{2})$$ equal to?
  • $$3{AC}^{2}$$
  • $$4{AC}^{2}$$
  • $$5{AC}^{2}$$
  • $$6{AC}^{2}$$
A quadrilateral that is not a parallelogram but has exactly two equal opposite angles is:
  • a rhombus.
  • a trapezium.
  • a square.
  • a kite.
The basic elements of a Quadrilateral are _____.
  • 4 vertices
  • 4 sides
  • 4 angles
  • All of these
Which of the following statements is INCORRECT?
  • Each diagonal of a quadrilateral divides it into two triangles
  • Each side of a quadrilateral is less than the sum of the remaining three sides
  • A quadrilateral can have atmost three angles
  • A quadrilateral has two diagonals
If length of each side of a rhombus $$PQRS$$ is $$8cm$$ and $$\angle {PQR}={120}^{o}$$, then what is the length (in cm) of $$QS$$?
  • $$4\sqrt {5}$$
  • $$6$$
  • $$8$$
  • $$12$$
$$ABCD$$ is a quadrilateral inscribed in a circle. Diagonals $$AC$$ and $$BD$$ are joined.
If $$\angle CAD = 60^{\circ}$$ and $$\angle BDC = 25^{\circ}$$. Find $$\angle BCD$$
882887_815d85f03f6244d79b1b3c570771ebc2.png
  • $$85^{\circ}$$
  • $$120^{\circ}$$
  • $$115^{\circ}$$
  • $$95^{\circ}$$
If the area of quadrilateral ABCD is zero, then the four points A,B,C,D are
  • collinear
  • not collinear
  • nothing can be said
  • none of these
A square is drawn by joining the mid points of the given square a third square in the same way and this process continues indefinitely. If a side of the first square is $$16$$ cm , then the sum of the area of all of the squares 
  • $$128$$ sq. cm
  • $$256$$ sq. cm
  • $$512$$ sq. cm
  • $$1024$$ sq. cm
In the given figure, if $${ b }^{ \circ  }-{ d }^{ \circ  }={ 80 }^{ \circ  },{ m }^{ \circ  }={ 140 }^{ \circ  }and\quad { m }^{ \circ  }+{ e }^{ \circ  }={ 2c }^{ \circ  },then\quad ({ a }^{ \circ  }+{ d }^{ \circ  })-({ e }^{ \circ  }+{ C }^{ \circ  })$$
1409634_3f96a811f2654aba8c53f80278ee8a2f.PNG
  • $${0 }^{ \circ }$$
  • $${ 40 }^{ \circ }$$
  • $${ 80 }^{ \circ }$$
  • $${ 50 }^{ \circ }$$
Let M, N, P and Q be mid points of the edges AB, CD, AC and BD respectively of the tetrahedron ABCD. Further, MN is perpendicular to both AN and CD and PQ is perpendicular to both AC and BD. Then  which of the following is/are correct :
  • AB = CD
  • BC = DA
  • AC = BD
  • AN = BN
In right triangle ABC, right angle is at C, M is the mid-point Of hypotenuse AB, C is joined to M and produced to a point D such that DM = CM. point D is joined to point B show that :
1415144_cef4ef1e409841a5a653c289d3950f82.PNG
  • $$\Delta AMC\cong \Delta BMD$$
  • $$\angle DBC$$ is a right angle
  • $$\Delta DBC\cong \Delta ACB$$
  • $$CM=\dfrac { 1 }{ 2 } AB$$
A,B,C,D are mid points of sides of parallelogram PQRS. If $$ar\left( {PQRS} \right) = 36\,\,c{m^2}$$ then $$ar(ABCD)$$
  • $$24\,\,c{m^2}$$
  • $$18\,\,c{m^2}$$
  • $$30\,\,c{m^2}$$
  • $$36\,\,c{m^2}$$
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