CBSE Questions for Class 9 Maths Quadrilaterals Quiz 4 - MCQExams.com

State true or false:

In triangle $$ ABC $$, angle $$ B $$ is obtuse. $$ D $$ and $$ E $$ are mid-points of sides $$ AB $$ and $$ BC $$ respectively and $$ F $$ is a point in side $$ AC $$ such that $$ EF $$ is parallel to $$ AB $$. Then, $$ BEFD $$ is a parallelogram. 
  • True
  • False
State true or false:

In triangle  $$ ABC  $$,  $$ P  $$ is the mid-point of side  $$ BC  $$. A line through $$ P  $$ and Parallel to  $$ CA  $$ meets  $$ AB  $$ at point  $$ Q  $$; and a line through  $$ Q  $$ and parallel to  $$ BC $$ meets median  $$ AP  $$ at point  $$ R  $$. Can it be concluded that,
$$ AP= 2AR $$ ?
  • True
  • False
State true or false:
The bisectors of angles B and C of a parallelogram ABCD meet at point O. If triangle OBC formed is an isosceles right-angled triangle, then the quadrilateral ABCD is a rectangle.

178626_2b233cefe59b4975be0e5b265637a04a.png
  • True
  • False
Angles of a quadrilateral are $$(4x)^{\circ},\ 5(x + 2)^{\circ},\ (7x - 20)^{\circ}$$ and $$6(x + 3)^{\circ}$$. Find the value of $$x$$ (in degrees).
  • $$14$$
  • $$15$$
  • $$16$$
  • $$18$$
Two angles of a quadrilateral are $$68^{\circ}$$ and $$76^{\circ}$$. If the other two angles are in the ratio $$5 : 7$$, find the measure of largest of them.
  • $$126^{\circ}$$
  • $$90^{\circ}$$
  • $$63^{\circ}$$
  • $$100^{\circ}$$
$$ P,Q, R $$ and $$ S $$ are the mid-points of sides $$ AB, BC, CD $$ and $$ DA $$ respectively of rhombus $$ ABCD $$. Quadrilateral $$ PQRS $$ is a rectangle. Under what condition will $$ PQRS $$ be a square ?
  • When $$ ABCD $$ is a square
  • When $$ ABCD $$ is a parallelogram
  • When $$ ABCD $$ is a rectangle
  • When $$ ABCD $$ is a square or a rectangle
From the following figure, find $$x$$.
179882_da884b87200f4bfeacd0d5bbcc6ad3ce.png
  • $$18^o$$
  • $$26^o$$
  • $$24^o$$
  • $$36^o$$
Find $$\angle ACD$$.
179885_cf571fc0d7f2481bb45710cdb5d373a9.png
  • $$56^o$$
  • $$28^o$$
  • $$45^o$$
  • $$36^o$$
Angles of a quadrilateral are $$(4x)^{\circ}, 5(x + 2)^{\circ}, (7x - 20)^{\circ}$$ and $$6(x + 3)^{\circ}$$. Find the smallest angle of the quadrilateral.
  • $$90^{\circ}$$
  • $$64^{\circ}$$
  • $$114^{\circ}$$
  • $$78^{\circ}$$
Two angles of a quadrilateral are $$89^{\circ}$$ and $$113^{\circ}$$. If the other two angles are equal, find the equal angles.
  • $$69^{\circ}$$
  • $$89^{\circ}$$
  • $$158^{\circ}$$
  • $$79^{\circ}$$
Given, in quadrilateral $$ABCD$$, $$\angle C = 64^{\circ}, \angle D = \angle C - 8^{\circ}, \angle A = 5(a + 2)^{\circ}$$ and $$\angle B = 2(2a+7)^{\circ}$$. Calculate $$\angle A$$.
  • $$120^o$$
  • $$130^o$$
  • $$140^o$$
  • $$150^o$$
Find $$\angle ABC$$.
179884_4b0b17bc740a4babba873cd465d1f499.png
  • $$92^o$$
  • $$104^o$$
  • $$120^o$$
  • $$106^o$$
Sum of all angles of a square is
  • $$90^o$$
  • $$240^o$$
  • $$120^o$$
  • $$360^o$$
State true or false:
In quadrilateral PQRS, $$\angle P : \angle Q : \angle R : \angle S = 3 : 4 : 6 : 7$$. The smallest angle of the quadrilateral is $$45^o$$.
  • True
  • False
In the given figure:
$$\angle b = 2a + 15^{\circ}$$ and $$\angle c = 3a + 5^{\circ}$$, find the value of $$\angle b $$.
179890.jpg
  • $$100^o$$
  • $$105^o$$
  • $$95^o$$
  • $$92^o$$
Three angles of a quadrilateral are equal. If the fourth angle is $$69^{\circ}$$, find the measure of equal angles.
  • $$86^o$$
  • $$97^o$$
  • $$68^o$$
  • None of the above
In a quadrilateral $$ABCD$$, $$AB= AD$$ and $$CB= CD$$, then check whether $$AC$$ bisects angle $$BAD$$ is true/false.
  • True
  • False
State whether the given result is true or false:
In the parallelogram $$ABCD$$, the side $$AB$$ is produced to the point $$X$$, so that $$BX =AB$$. The line $$DX$$ cuts $$BC$$ at $$E$$, then $$DBXC$$ is a parallelogram.
  • True
  • False
State true or false:

In the given figure, $$AP$$ is bisector of $$\angle A$$ and $$CQ$$ is bisector of $$\angle C$$ of parallelogram $$ABCD$$, then
$$APCQ$$ is a parallelogram


184914_38793ec1a96b4f48b116d97cd32b84cf.png
  • True
  • False
The angles $$P, Q, R$$ and $$S$$ of $$ PQRS$$ are in the ratio $$1:3:7:9$$, find the measure of each angle.
  • $$19^{\circ}, 57^{\circ}, 136^{\circ}, 171^{\circ}$$
  • $$18^{\circ}, 54^{\circ}, 126^{\circ}, 162^{\circ}$$
  • $$17^{\circ}, 66^{\circ}, 116^{\circ}, 152^{\circ}$$
  • $$12^{\circ}, 36^{\circ}, 108^{\circ}, 120^{\circ}$$
State true or false:
In a quadrilateral $$ABCD$$, $$AB= AD$$ and $$CB= CD$$, then
$$AC$$ is perpendicular bisector of $$BD$$.
  • True
  • False
Use the information given in the following figure to find the value of $$x$$.
179898_69d7baf613604cf4b7681db81b23feaa.png
  • $$40^o$$
  • $$50^o$$
  • $$45^o$$
  • $$35^o$$
State 'true' or 'false':
The diagonals of a quadrilateral bisect each other.
  • True
  • False
If the quadrilateral formed by joining the mid-points of the adjacent sides of quadrilateral $$ABCD$$ is a rectangle, show that the diagonals $$AC$$ and $$BD$$ intersect at right angle. State true or false.
  • True
  • False
In the figure, $$LM = LN,\  \angle PLN = 110^{\circ}$$. Then,the measure of $$\angle MLN$$ in degrees is____.
194601_1e605f46dba848d4a8109a2d924d7199.png
  • $$110^{\circ}$$
  • $$40^{\circ}$$
  • $$10^{\circ}$$
  • $$140^{\circ}$$
The angles of a quadrilateral are in the ratio 3 : 2 : 4 :Find the angles. Assign a special name to the quadrilateral.
  • $$108^{\circ}, \, 82^{\circ},\, 144^{\circ},\, 36^{\circ}$$, Trapezium
  • $$108^{\circ}, \, 92^{\circ},\, 144^{\circ}, \, 36^{\circ}$$,Trapezium
  • $$108^{\circ}, \, 72^{\circ},\, 144^{\circ}, \, 36^{\circ}$$,Trapezium
  • $$108^{\circ}, \, 142^{\circ},\, 144^{\circ}, \, 36^{\circ}$$, Trapezium
In the above figure, $$ABCD$$ is a parallelogram, $$AL \bot CD$$ and $$AM \bot BC$$. If $$AB = 12\space cm, AD = 8\space cm$$ and $$AL = 6\space cm$$, then $$AM = $$
242404_05de1806c64c46e59279ea9275301d44.png
  • $$15\space cm$$
  • $$9\space cm$$
  • $$10\space cm$$
  • None of these
Use the information given in figure to choose the correct value of $$x$$.
206253.jpg
  • $$x = 86^{o}$$
  • $$x = 60^{o}$$
  • $$x = 68^{o}$$
  • $$x = 107^{o}$$
The angles of a quadrilaterals are in the ratio $$3 : 5 : 9 : 13$$. All the angles of the quadrilaterals are:
  • $$36^{\circ}, 60^{\circ}, 108^{\circ}, 156^{\circ}$$
  • $$30^{\circ}, 50^{\circ}, 90^{\circ}, 130^{\circ}$$
  • $$39^{\circ}, 65^{\circ}, 117^{\circ}, 169^{\circ}$$
  • $$30^{\circ}, 65^{\circ}, 100^{\circ}, 150^{\circ}$$
Three angles of a quadrilateral are respectively equal to $$110^o$$, $$50^o$$ and $$40^o$$. Find the fourth angle.
  • $$160^o$$
  • $$140^o$$
  • $$120^o$$
  • $$100^o$$
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