CBSE Questions for Class 9 Maths Quadrilaterals Quiz 7 - MCQExams.com

All squares are not parallelograms.
  • True
  • False
Which of the following group is true for quadrilateral $$ ABCD$$?
(1) $$ABCD$$ is a Rhombus(a) $$\overline { AC } $$ and $$\overline { BD } $$ bisect each other.
(2) $$ABCD$$ is a Parallelogram(b) $$\overline { AC } $$ and $$\overline { BD } $$ bisect each other at an right angle.
(3) $$ABCD$$ is Rectangle(c) $$\overline { AC } $$ and $$\overline { BD } $$ are congruent and bisect each other at an right angle.
(4) $$ABCD$$ is Square(d) $$\overline { AC } $$ and $$\overline { BD } $$ are congruent and bisect each other.
  • $$1-d,2-a,c-d,4-c$$
  • $$1-c,2-d,3-a,4-b$$
  • $$1-b,2-a,3-d,4-c$$
  • $$1-b,2-c,3-d,4-a$$
All squares are trapeziums.
  • True
  • False
Match the following.
(1)Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
(2)Square(q)A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3)Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
(4)Rhombus(s)A quadrilateral in which a pair of opposite sides are parallel.
(5)Trapezium(t)A parallelogram having all sides equal.
  • $$1\rightarrow (t), 2\rightarrow (s), 3\rightarrow (r), 4\rightarrow (p), 5\rightarrow (q)$$
  • $$1\rightarrow (p), 2\rightarrow (q), 3\rightarrow (r), 4\rightarrow (s), 5\rightarrow (t)$$
  • $$1\rightarrow (r), 2\rightarrow (q), 3\rightarrow (t), 4\rightarrow (p), 5\rightarrow (s)$$
  • $$1\rightarrow (q), 2\rightarrow (r), 3\rightarrow (p), 4\rightarrow (t), 5\rightarrow (s)$$
All parallelograms having equal areas have same perimeters. 
  • True
  • False
State whether the statements are true (T) or (F) false.
If diagonals of a quadrilateral bisect each other , it must be a parallelogram.
  • True
  • False
In the adjoining figure, if $$\angle A  =90^o$$, then find $$x$$.
1066777_f56205b0189a4b2f844eeae53879de23.png
  • $$11$$
  • $$19$$
  • $$13$$
  • $$20$$
Identify the true statements :-
  • A rectangle is a parallelogram.
  • A square is a rhombus
  • A parallelogram is a rhombus
  • A kite is a parallelogram
The angles of a quadrilateral are in the ratio $$1:2:3:4$$. The largest angle is:
  • $$36^{o}$$
  • $$72^{o}$$
  • $$108^{o}$$
  • $$144^{o}$$
Read the following statement and choose the correct alternative from those given below them:
(i) Diagonals of a rectangle are perpendicular bisectors of each other 
(ii) Diagonals of a rhombus are perpendicular bisectors of each other 
(iii) Diagonals of a parallelogram are perpendicular bisectors of each other 
  • Statement $$(ii)$$ and $$(iii)$$ are true
  • Only statement $$(ii)$$ is true
  • Statement $$(ii)$$ and $$(iv)$$ are true
  • Statement $$(i),(ii)$$ and $$(iv)$$ are true
In a quadrilateral $$ABCD$$, $$\angle{A}+\angle{C}$$ is $$2$$ times of $$\angle{B}+\angle{D}$$. If $$\angle {D}={40}^{o}$$, then $$\angle {B}=$$ _____.
  • $${60}^{o}$$
  • $${80}^{o}$$
  • $${100}^{o}$$
  • $${120}^{o}$$
The line $$3x+2y=6$$ will divide the quadrilateral formed by the lines $$x+y=5,y-2x=8,3xy+2x=0$$ and $$4y-x=0$$ in 
  • two quadrilaterals
  • one pentagon and one triangle
  • two traingles
  • one triangle and one quadrilateral
$$A B C D$$ is a quadrilateral. If $$\angle A C B = \angle A D B ,$$ then $$A B C D$$ is
  • A cyclic quadrilateral
  • A parallelogram
  • A square
  • Not a cyclic quadrilateral
X, Y are the mid-points of opposite sides AB and DC respectively of a parallelogram ABCD. AY and DX are intersecting at S; CX and BY are intersecting at R. Then SXRY is a_____________.
1281252_e3cfc9dc84094198823176692035e4a6.png
  • Rectangle
  • Kite
  • Parallelogram
  • Square
The sides of a quadrilateral are extended in order to form exterior angles. The sum of these exterior angle is 
  • $${180^0}$$
  • $${270^0}$$
  • $${90^0}$$
  • $${360^0}$$
State whether the statements are true (T) or (F) false.
All kites are squares.
  • True
  • False
State whether the statements are true (T) or (F) false.
A quadrilateral has two diagonals.
  • True
  • False
A diagonal of a paralleogram divides it into two congruent triangles.
  • True
  • False
If the angles of quadrilateral are $$x,x+20,2x+45,x+15$$. Find $$x$$.
  • $$52$$
  • $$56$$
  • $$58$$
  • $$60$$
In a quadrilateral $$ABCD,\angle A = 2x - {35^ \circ },\angle B = 3x - {5^ \circ },\angle C = x + {10^ \circ },\angle D = 4x + {20^ \circ },$$ find the value of $$x$$,
  • $$35$$
  • $$37$$
  • $$39$$
  • None of these
The angles of quadrilateral are $$30,150,60$$ find the third angle 
  • $$120$$
  • $$200$$
  • $$140$$
  • $$50$$
If the angle of a quadrilateral are $${ x }^{o },(x-{ 10) }^{ o },(x+{ 30 })^{o }$$ and $$2{ x }^{ o }$$, then the greatest angle is:
  • $${ 136 }^{ 0 }$$
  • $${ 180 }^{ 0 }$$
  • $${ 68 }^{ 0 }$$
  • $${ 148 }^{ 0 }$$
The three angles of a quadrilateral are $${ 80 }^{ \circ  }$$,$${ 70 }^{ \circ  }$$and$${ 120 }^{ \circ  }$$. The fourth angle is:
  • $${ 110 }^{ \circ }$$
  • $${ 100 }^{ \circ }$$
  • $${ 90 }^{ \circ }$$
  • $${ 80 }^{ \circ }$$
The sum of all the angles of a quadrilateral is :
  • $${ 180 }^{ \circ }$$
  • $${ 270 }^{ \circ }$$
  • $${ 360 }^{ \circ }$$
  • $${ 400 }^{ \circ }$$
If two angles of a quadrilateral are $${ 60 }^{ \circ  }$$ and $${ 40 }^{ \circ  }$$ and the other two angles in the ratio $$8 : 5$$, then the measure of other two angles are ____________.
  • $${ 80 }^{ \circ }$$
  • $${ 100 }^{ \circ }$$
  • $${ 160 }^{ \circ }$$
  • $${ 180 }^{ \circ }$$
Say True or False.
All the sides of a rhombus are of equal length.
  • True
  • False
Say True or False.
All the sides of a parallelogram are of equal length.
  • True
  • False
Sate whether the following statements are true (T) or false (F):
A vertex of a quadrilateral lies in its interior.
  • True
  • False
Which of the following statements is false?
  • A quadrilateral has four sides and four vertices
  • A quadrilateral has four angles
  • A quadrilateral has four diagonals
  • A quadrilateral has two diagonals
The three angles of a quadrilateral are $$80^o,70^o$$ and $$120^o$$. Then the fourth angle is:
  • $$110^0$$
  • $$100^0$$
  • $$90^0$$
  • $$80^0$$
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