CBSE Questions for Class 8 Maths Understanding Quadrilaterals Quiz 11 - MCQExams.com

A parallelogram and a triangle stand on the same side of the base with the same base and on the same side of the base with the same height. If $${l}_{1}$$, $${l}_{2}$$ be the perimeters of the parallelogram and the rectangle respectively, then the which one of the  following is correct?
  • $${l}_{1}< {l}_{2}$$
  • $${l}_{1}={l}_{2}$$
  • $${l}_{1}> {l}_{2}$$ but $${l}_{1}\ne 2{l}_{2}$$
  • $${l}_{1}=2{l}_{2}$$
A school was having 4 Hexagonal buildings joined to each other. They wanted to utilize the space between the 4 buildings to make a playground. The shape is that of a parallelogram. Can you find the measure of the angles as opposite angles are equal?
  • $$60^o, 120^o$$
  • $$20^o, 60^o$$
  • $$80^o, 120^o$$
  • $$40^o, 40^o$$
Classify the following into open and closed curves
741673_8a0c3e739fad4c1b845fb3cd756975b6.png
  • Open (b,p,r) Closed ( a,c,q)
  • Open (b,q ,c) Closed (a,p,r)
  • Open (p,q,a ) Closed (r,c,b)
  • Open (r,b,a) closed (p,q,c)
Which of the following statement(s) is/ are correct?
  • A parallelogram in which two adjacent angles are equal is a rectangle
  • A quadrilateral in which both pairs of opposite angles are equal is parallelogram
  • In a parallelogram the number of acute angles is two
  • All of these
A parallelogram with all equal sides are called _________.
  • Rhombus
  • Rectangle
  • Polygon
  • None of these
Select the CORRECT match. (A)  (B)   
  • Two pairs of parallel sides - Trapezium
  • A rhombus with 4 right angles - Rectangle
  • Parallelogram with 4 right angles - Rectangle
  • Diagonals are perpendicular to one another -

    Trapezium
In the given figure, ABCD is a parallelogram, AL $$\perp$$ BC, AM$$\perp$$ CD, AL$$=4$$cm and AM$$=5$$cm. If BC$$=6.5$$cm, then find CD.
725937_a052c64e983a4528afb578abb06040d4.jpg
  • $$5.2$$cm
  • $$8.7$$cm
  • $$6.5$$cm
  • $$3.3$$cm
Which of the following closed plane figures is/are not polygons?
Fill in the blanks.
Any drawing ( straight or non-Straight) done without lifting the pencil may be a_____P_____. A____Q____is the one that does not cross itself . A curve is said to be ___R__ if its ends are joined. A____S___is a simple closed curve made up of lines segments.
  • P-Curve, Q-Open curve, R-Closed, S-Line
  • P-Line, Q-Curve, R-Open, S-Line
  • P-Curve, Q-Simple curve, R-Closed, S-Polygon
  • P-Curved, Q-Closed curve, R-Open, S-Circle
In the given figure, if $$TS||QV, \, SV || TQ, \, \angle QRS = {115^ \circ}$$, then $$\angle TQR$$ is equal to
1183067_e904d1942e7b489392d86e09aad57277.png
  • $${65^ \circ}$$
  • $${115^ \circ}$$
  • $${45^ \circ}$$
  • $${25^ \circ}$$
The length of the diagonal $$BD$$ of the parallelogram $$ABCD$$ is $$18\ cm$$. If $$p$$ and $$Q$$ are the Centroid of the $$\triangle ABC$$ and $$\triangle ADC$$ respectively then length of the line segment $$PQ$$ is: 
  • $$4\ cm$$
  • $$6\ cm$$
  • $$9\ cm$$
  • $$12\ cm$$
$$p$$ is a point in the interior of $$\parallel gm$$ $$ABCD$$. If the area of $$\parallel gm$$ $$ABCD$$ is $$60\ {cm}^{2}$$.$$ar\left( \triangle ADP \right) +ar\left( \triangle BPC \right) =$$
1237410_f2efe8cde0904f978866a360af7ce2ec.png
  • $$15\ { cm }^{ 2 }$$
  • $$30\ { cm }^{ 2 }$$
  • $$45\ { cm }^{ 2 }$$
  • $$20\ { cm }^{ 2 }$$
$$ABCD$$ is a parallelogram $$P$$ is a point of $$AD$$ such that $$\dfrac {AP}{AD}=\dfrac {1}{2015}.Q$$ is the point of intersection of $$AC$$ and $$BP$$. Then $$\dfrac {AQ}{AC}=$$
1257856_b94569b57d274ca9a2328ceaf2b3a4d7.png
  • $$\dfrac {2000}{2016}$$
  • $$\dfrac {2015}{2016}$$
  • $$\dfrac {2018}{2016}$$
  • $$\dfrac {1}{2016}$$
The following figure shows a ABCD in which AB is quarlled to DC and AD=BC
1246323_df9634ffde0b41389988ddf93accaee0.PNG
  • $$\angle DAB=\angle CBA$$
  • $$\angle ADC=\angle BCD$$
  • $$ADC=BD$$
  • $$OA=OB AND OC=OD$$
$$ABCD$$ is a parallelogram. $$ { AP } $$ bisects $$\angle A$$ and $$ { CQ } $$ bisects $$\angle C.P$$ lies on $$ { CD } $$ and Q lies on $$ { AB }. $$ Then
  • $$ { AB } \parallel  { CQ } $$
  • $$ { AP } \parallel  { CQ } $$
  • $$ { AQ } \parallel  { BC } $$
  • None of these
A parallelogram, the lengths of whose sides are 11 cm and 13 cm, has one diagonal 20 cm, long the length of another diagonal is 
  • 12 cm
  • 20 cm
  • 66 cm
  • 25 cm
The two adjacent sides of a parallelogram are 4 cm and 9 cm. The ratio of its altitude is 
  • 21 : 22
  • 4 : 9
  • 16 : 81
  • 11 : 37
In the given figure, ABCD is a parallelogram, $$\angle ADE={ 50 }^{ \circ  }$$ and $$\angle ACE={ \angle BED=90 }^{ \circ  }.$$ The value of $$\angle EAC+{ \angle ABC }-2\angle DAC$$ is
1399229_50788b9f12b745a8bd12ba7b4707c1a6.JPG
  • $${ 20 }^{ \circ }$$
  • $${ 10 }^{ \circ }$$
  • $${ 30 }^{ \circ }$$
  • $${ 40 }^{ \circ }$$
In the given figure, ABCD is a parallelogram such that AB||CD and AD||BC with opposite angles equal. If DA=DX, then find the values of $$\angle{m}$$ and $$\angle{n}$$.
1477709_bb2eb37f33e946e482fc6deb9cc41762.jpg
  • $$m=24^\circ.n=34^\circ$$.
  • $$m=24^\circ.n=24^\circ$$.
  • $$m=34^\circ.n=24^\circ$$.
  • $$m=34^\circ.n=34^\circ$$.
In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm then AD =
1431385_1759c674df6f405d8c68ea2a556d3714.PNG
  • 3 cm
  • 6 cm
  • 8 cm
  • 10.5 cm
ABCD is a parallelogram, AB=14 cm, BC=18 cm and AC=16 cm, then the length of the diagonal is_
  • 24cm
  • 36cm
  • 28cm
  • 32cm
The altitude of a parallelogram is twice of the length of the base and its area is 900 $$c{m^2}$$ . The length of base and altitude respectively are
  • $$15\sqrt {2\,} \,cm,\,\,\,30\sqrt 2 cm$$
  • $$25\sqrt 2 cm,\,\,\,\,\,35\sqrt 2 cm$$
  • $$45\sqrt 2 cm,\,\,\,\,\,\,55\sqrt 2 cm$$
  • $$65\sqrt 2 cm,\,\,\,\,\,75\sqrt 2 cm$$
In the given figure , $$ABCD$$ and $$BDCE$$ are parallelograms with common base $$DC$$ . If $$BC$$ $$ \perp $$ $$BD$$ , then $$\angle BEC$$ = 
1792038_69306b304f0b43548173e1bab5419121.png
  • $$ 60^{\circ} $$
  • $$ 30^{\circ} $$
  • $$ 150^{\circ} $$
  • $$ 120^{\circ} $$
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