9th Class Mathematics Quadrilaterals Question Bank

done Quadrilaterals Total Questions - 57

• question_answer1)
  In the parallelogram\[ABCD\], \[AP\] and \[BP\] are bisectors of\[\angle A\]and\[\angle B\]which meet at\[P\]. What is \[2\angle APB\] equivalent to?
  A)
  \[\angle A+\angle B\]                  done clear
  B)
  \[\angle A+\angle C\]      done clear
  C)
         \[\angle B+\angle D\]      done clear
  D)
         \[\angle A-\angle D\] done clear
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• question_answer2)
  In the given figure, \[AO\] and \[DO\] are the bisectors of \[\angle A\] and \[\angle D\] of the quadrilateral\[ABCD\]. Find\[\angle AOD\].
  A)
  \[{{67.5}^{o}}\]                      done clear
  B)
  \[{{77.5}^{o}}\]          done clear
  C)
         \[{{87.5}^{o}}\]          done clear
  D)
         \[{{99.75}^{o}}\] done clear
  View Solution play_arrow

• question_answer3)
  In a parallelogram find the sum of the bisected angles of two adjacent angles.
  A)
  \[{{30}^{o}}\]                         done clear
  B)
  \[{{45}^{o}}\]             done clear
  C)
  \[{{60}^{o}}\]             done clear
  D)
         \[{{90}^{o}}\] done clear
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• question_answer4)
  The diameter of the circumcircle is the diagonal of a rectangle which is \[10\,\,cm\] and breadth of the rectangle is\[6\,\,cm\]. Find its length.
  A)
  \[6\,\,cm\]                      done clear
  B)
  \[5\,\,cm\]                      done clear
  C)
         \[8\,\,cm\]                      done clear
  D)
         \[7\,\,cm\] done clear
  View Solution play_arrow

• question_answer5)
  In the parallelogram\[ABCD\], what are the measures of the angles\[x\]and\[y\]?
  A)
  \[{{60}^{o}},\,\,{{30}^{o}}\]             done clear
  B)
  \[{{30}^{o}},\,\,{{60}^{o}}\] done clear
  C)
  \[{{45}^{o}},\,\,{{45}^{o}}\] done clear
  D)
         \[{{90}^{o}},\,\,{{90}^{o}}\]             done clear
  View Solution play_arrow

• question_answer6)
  In parallelogram\[PQRS\], what are the values of \[\angle QSP\]and\[\angle SPQ\]?
  A)
  \[{{45}^{o}},\,\,{{60}^{o}}\]             done clear
  B)
  \[{{60}^{o}},\,\,{{45}^{o}}\] done clear
  C)
  \[{{70}^{o}},\,\,{{35}^{o}}\] done clear
  D)
          \[{{35}^{o}},\,\,{{70}^{o}}\] done clear
  View Solution play_arrow

• question_answer7)
  In the given figure, \[ABCD\] is a trapezium in which\[AB=7\,\,cm,\,\,AD=BC=5\,\,cm\], \[DC=x\,\,cm\] and the distance between \[AB\] and \[DC\] is\[4\,\,cm\]. What is the value of\[x\]?
  A)
  \[13\,\,cm\]                    done clear
  B)
  \[16\,\,cm\]        done clear
  C)
         \[19\,\,cm\]        done clear
  D)
         \[12\,\,cm\] done clear
  View Solution play_arrow

• question_answer8)
  In a square\[ABCD\], the diagonals bisect at\[O\]. What type of a triangle is\[\Delta AOB\]?
  A)
   An equilateral triangle. done clear
  B)
   An isosceles but not a right angled triangle. done clear
  C)
   A right angled but not an isosceles triangle. done clear
  D)
   An isosceles right angled triangle. done clear
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• question_answer9)
  \[ABCD\] is a quadrilateral. If \[AC\] and \[BD\] bisect each other, what is\[ABCD\]?
  A)
   A square                       done clear
  B)
   A rectangle        done clear
  C)
          A parallelogram done clear
  D)
          A rhombus done clear
  View Solution play_arrow

• question_answer10)
  In a parallelogram\[ABCD,\]\[\angle D={{60}^{o}}\]. Find the measure of\[\angle A\].
  A)
  \[{{120}^{o}}\]                                   done clear
  B)
  \[{{65}^{o}}\]             done clear
  C)
  \[{{90}^{o}}\]                         done clear
  D)
  \[{{75}^{o}}\] done clear
  View Solution play_arrow

• question_answer11)
  \[ABCD\] and \[MNOP\] are quadrilaterals as shown in the figure. Which of these is correct?
  A)
  \[p+q+r+s=w+x+y+z\] done clear
  B)
  \[p+q+r+s<w+x+y+z\] done clear
  C)
  \[p+q+r+s>w+x+y+z\] done clear
  D)
  \[p+q+x+y=r+s+w+z\] done clear
  View Solution play_arrow

• question_answer12)
  In parallelogram\[ABCD,\] \[AB=12\,\,cm\]. The altitudes corresponding to the sides \[AB\] and \[AD\] are respectively \[9\,\,cm\] and\[11\,\,cm\]. Find\[AD\].
  A)
  \[\frac{108}{11}cm\]                  done clear
  B)
  \[\frac{108}{10}cm\]      done clear
  C)
         \[\frac{99}{10}cm\]        done clear
  D)
         \[\frac{108}{17}cm\]                  done clear
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• question_answer13)
  In quadrilateral\[ABCD\], if the diagonals \[AC\] and \[BD\] are equal and perpendicular to each other, what is\[ABCD\]?
  A)
   A square                       done clear
  B)
          A parallelogram done clear
  C)
                      A rhombus                    done clear
  D)
          A trapezium      done clear
  View Solution play_arrow

• question_answer14)
  One of the diagonals of a rhombus is equal to its side. Find the angles of the rhombus.
  A)
   \[{{60}^{o}}\]and\[{{80}^{o}}\]    done clear
  B)
          \[{{60}^{o}}\]and\[{{120}^{o}}\]      done clear
  C)
          \[{{120}^{o}}\]and\[{{240}^{o}}\]    done clear
  D)
          \[{{100}^{o}}\]and\[{{120}^{o}}\] done clear
  View Solution play_arrow

• question_answer15)
  The perimeter of a parallelogram is\[180\,\,cm\]. One side exceeds another by\[10\,\,cm\]. What are the sides of the parallelogram?
  A)
   \[40\,\,cm\] and\[50\,\,cm\] done clear
  B)
          \[45\,\,cm\]each done clear
  C)
          \[50\,\,cm\]each and\[60\,\,cm\] done clear
  D)
          Cannot be determined. done clear
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• question_answer16)
  \[ABCD\]is a parallelogram as shown in the figure. If \[AB=2AD\] and \[P\] is the mid-point of\[AB\], find the measure of\[\angle CPD\].
  A)
  \[{{90}^{o}}\]             done clear
  B)
                     \[{{60}^{o}}\]             done clear
  C)
         \[{{45}^{o}}\]                         done clear
  D)
         \[{{135}^{o}}\]                       done clear
  View Solution play_arrow

• question_answer17)
  In a parallelogram\[ABCD\], if \[AB=2x+5,\] \[CD=y+1,\] \[AD=y+5\] and\[BC=3x-4\], what is the ratio of \[AB\] and\[BC\]?                       
  A)
  \[71:21\]                        done clear
  B)
         \[12:11\]                        done clear
  C)
         \[31:35\]                        done clear
  D)
         \[4:7\]                            done clear
  View Solution play_arrow

• question_answer18)
  When is the quadrilateral formed by joining the midpoints of the sides of a quadrilateral\[PQRS\], taken in order, a rectangle?
  A)
   \[PQRS\] is a rectangle. done clear
  B)
          \[PQRS\]is a parallelogram. done clear
  C)
          Diagonals of \[PQRS\] are perpendicular.   done clear
  D)
          Diagonals of \[PQRS\] are equal. done clear
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• question_answer19)
  The diagonals of a parallelogram \[ABCD\] intersect at\[O\]. If \[\angle BOC={{90}^{o}}\] and\[\angle BDC={{50}^{o}}\], find\[\angle OAB\].
  A)
  \[{{10}^{o}}\]                         done clear
  B)
         \[{{40}^{o}}\]             done clear
  C)
         \[{{50}^{o}}\]                         done clear
  D)
         \[{{90}^{o}}\]             done clear
  View Solution play_arrow

• question_answer20)
  If \[ABCD\] is an isosceles trapezium, what is\[\angle C\] equal to?
  A)
  \[\angle B\]                                 done clear
  B)
         \[\angle A\]                     done clear
  C)
         \[\angle D\]                                 done clear
  D)
         \[{{90}^{o}}\]                        done clear
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• question_answer21)
  When is the quadrilateral formed by joining the midpoints of the sides of a quadrilateral\[PQRS\], taken in order, a rhombus?
  A)
   \[PQRS\] is a rhombus. done clear
  B)
          \[PQRS\]is a parallelogram. done clear
  C)
          Diagonals of \[PQRS\] are perpendicular. done clear
  D)
          Diagonals of \[PQRS\] are equal. done clear
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• question_answer22)
  If angles \[P,\,\,Q,\,\,R\] and \[S\] of the quadrilateral\[PQRS\], taken in order, are in the ratio\[3:7:6:4\], what is\[PQRS\]?
  A)
   A rhombus        done clear
  B)
          A parallelogram done clear
  C)
                      A trapezium      done clear
  D)
          A kite               done clear
  View Solution play_arrow

• question_answer23)
  If \[PQ\] and \[RS\] are two perpendicular diameters of a circle, what is\[PRQS\]?
  A)
   A rectangle done clear
  B)
          A trapezium done clear
  C)
          A square done clear
  D)
          A rhombus but not a square done clear
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• question_answer24)
  What is the number of measurements required to construct a quadrilateral?
  A)
  \[5\]                              done clear
  B)
         \[4\]                  done clear
  C)
         \[3\]                              done clear
  D)
         \[2\]                  done clear
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• question_answer25)
  If the lengths of two diagonals of a rhombus are \[12\,\,cm\] and\[16\,\,cm\], find the length of each side of the rhombus.
  A)
  \[10\,\,cm\]                    done clear
  B)
         \[14\,\,cm\]                    done clear
  C)
         \[16\,\,cm\]                    done clear
  D)
         \[8\,\,cm\] done clear
  View Solution play_arrow

• question_answer26)
  In a rhombus\[ABCD\], \[\angle A={{60}^{o}}\] and\[AB=6\,\,cm\]. Find the diagonal\[BD\].
  A)
  \[2\sqrt{3}cm\]                           done clear
  B)
         \[6\,\,cm\]                      done clear
  C)
         \[12\,\,cm\]                                done clear
  D)
          Insufficient data             done clear
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• question_answer27)
  In a parallelogram\[ABCD\], \[AB=4\,\,cm\] and\[BC=7\,\,cm\]. Each of its diagonals is less than which of the following?
  A)
  \[3\,\,cm\]                      done clear
  B)
         \[4\,\,cm\]                      done clear
  C)
         \[7\,\,cm\]                      done clear
  D)
         \[11\,\,cm\]        done clear
  View Solution play_arrow

• question_answer28)
  Which of the following is not true for a parallelogram?
  A)
   Opposite sides are equal. done clear
  B)
          Opposite angles are equal. done clear
  C)
          Opposite angles are bisected by the diagonals. done clear
  D)
          Diagonals bisect each other. done clear
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• question_answer29)
  \[APB\] and \[CQD\] are parallel lines and a transversal \[PQ\] cuts them at \[P\] and\[Q\]. Which of the following is formed by the bisectors of angles \[APQ,\,\,BPQ,\,\,CQP\] and\[PQD\]?
  A)
   A rectangle done clear
  B)
          A rhombus done clear
  C)
          A square done clear
  D)
          Any other parallelogram done clear
  View Solution play_arrow

• question_answer30)
  \[PQRS\]is a quadrilateral. \[PR\] and \[QS\] intersect each other at\[O\], In which of the following cases is PQRS a parallelogram?
  A)
  \[\angle P={{100}^{o}},\,\,\angle Q={{80}^{o}},\,\,\angle R={{100}^{o}}\] done clear
  B)
         \[\angle P={{85}^{o}},\,\,\angle Q={{85}^{o}},\,\,\angle R={{95}^{o}}\] done clear
  C)
         \[PQ=7\,\,cm,\,\,QR=7\,\,cm,\,\,RS=8\,\,cm,\]\[OS=5.2\,\,cm\] done clear
  D)
          \[OP=6.5\,\,cm,\,\,OQ=6.5\,\,cm,\,\,OR=5.2\,\,cm,\] \[OS=5.2\,\,cm\] done clear
  View Solution play_arrow

• question_answer31)
  In a quadrilateral, the angles, \[A,\,\,B,\,\,C\] and \[D\] are in the ratio\[1:2:3:4\]. What is the measure of the largest angle of the quadrilateral?
  A)
  \[{{135}^{o}}\]                                   done clear
  B)
         \[{{144}^{o}}\]                       done clear
  C)
         \[{{154}^{o}}\]                                   done clear
  D)
         \[{{108}^{o}}\]           done clear
  View Solution play_arrow

• question_answer32)
  \[ABCD\] is a rhombus such that one of its diagonals is equal to its side. Find the measure of the angles of rhombus\[ABCD\].
  A)
   \[{{45}^{o}},\,\,{{135}^{o}},\,\,{{45}^{o}},\,\,{{135}^{o}}\] done clear
  B)
          \[{{100}^{o}},\,\,{{80}^{o}},\,\,{{100}^{o}},\,\,{{80}^{o}}\] done clear
  C)
          \[{{120}^{o}},\,\,{{60}^{o}},\,\,{{120}^{o}},\,\,{{60}^{o}}\] done clear
  D)
          \[{{60}^{o}},\,\,{{60}^{o}},\,\,{{60}^{o}},\,\,{{60}^{o}}\] done clear
  View Solution play_arrow

• question_answer33)
  Which of the following is not a property of a rhombus?
  A)
   All four sides are equal. done clear
  B)
          Diagonals bisect each other. done clear
  C)
          Diagonals bisect opposite angles. done clear
  D)
          One angle between the diagonals is\[{{60}^{o}}\] done clear
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• question_answer34)
  I All the angles of a convex quadrilateral are congruent. However, not all sides are congruent. What type of a quadrilateral is it?
  A)
   Parallelogram    done clear
  B)
          Square             done clear
  C)
          Rectangle                      done clear
  D)
          Trapezium done clear
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• question_answer35)
              In quadrilateral\[ABCD,\]\[\angle A={{38}^{o}}\], \[\angle C=3\angle A\]and\[\angle D=4\angle A\]. Find the value of\[\angle B\].
  A)
  \[{{56}^{o}}\]                         done clear
  B)
         \[{{304}^{o}}\]                       done clear
  C)
         \[{{52}^{o}}\]                         done clear
  D)
         \[{{114}^{o}}\]                       done clear
  View Solution play_arrow

• question_answer36)
  In the given figure, \[p,\,\,q\] and \[r\] are three parallel lines. \[l\] and \[m\] are two transversals, such that \[DE=1.5\,\,cm\]\[,\] \[EF=3\,\,cm\]. Find \[BC\] if\[AB=2.5\,\,cm\].
  A)
  \[4\,\,cm\]       done clear
  B)
                                 \[5.5\,\,cm\]                   done clear
  C)
         \[5\,\,cm\]                      done clear
  D)
         \[6\,\,cm\] done clear
  View Solution play_arrow

• question_answer37)
  \[ABCD\] is a rectangle with\[\angle ABD={{40}^{o}}\]. Find\[\angle DBC\].
  A)
  \[{{45}^{o}}\]                         done clear
  B)
         \[{{30}^{o}}\]         done clear
  C)
         \[{{50}^{o}}\]                         done clear
  D)
         \[{{35}^{o}}\] done clear
  View Solution play_arrow

• question_answer38)
  Find the measure of each angle of a parallelogram, if one of its angles is \[{{30}^{o}}\] less than twice the smallest angle.
  A)
  \[{{70}^{o}},\,\,{{110}^{o}},\,\,{{70}^{o}},\,\,{{110}^{o}}\] done clear
  B)
         \[{{70}^{o}},\,\,{{110}^{o}},\,\,{{80}^{o}},\,\,{{110}^{o}}\] done clear
  C)
         \[{{120}^{o}},\,\,{{60}^{o}},\,\,{{120}^{o}},\,\,{{60}^{o}}\] done clear
  D)
         \[{{100}^{o}},\,\,{{80}^{o}},\,\,{{100}^{o}},\,\,{{80}^{o}}\] done clear
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• question_answer39)
  Which of the following pairs of angles are opposite angles of a cyclic quadrilateral?
  A)
  \[{{131}^{o}},\,\,{{28}^{o}}\]                       done clear
  B)
         \[{{95}^{o}},\,\,{{55}^{o}}\]         done clear
  C)
         \[{{123}^{o}},\,\,{{57}^{o}}\]                       done clear
  D)
         \[{{64}^{o}},\,\,{{52}^{o}}\] done clear
  View Solution play_arrow

• question_answer40)
  Two adjacent angles of rhombus are \[3x-{{40}^{o}}\] and\[2x+{{20}^{o}}\]. Find the measurement of the greater angle.
  A)
  \[{{160}^{o}}\]                                   done clear
  B)
         \[{{100}^{o}}\]                done clear
  C)
         \[{{80}^{o}}\]                         done clear
  D)
         \[{{120}^{o}}\]                done clear
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• question_answer41)
  If \[PQRS\] is a parallelogram, find the value of\[\angle Q-\angle S\].
  A)
  \[{{90}^{o}}\]                         done clear
  B)
         \[{{120}^{o}}\]                done clear
  C)
         \[{{180}^{o}}\]                                   done clear
  D)
         \[{{0}^{o}}\]          done clear
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• question_answer42)
  If the degree measures of the angles of a quadrilateral are \[4x,\,\,7x,\,\,9x\] and\[10x\], what is the sum of the measures of the smallest angle and the largest angle?
  A)
  \[{{140}^{o}}\]           done clear
  B)
                                 \[{{150}^{o}}\]        done clear
  C)
                 \[{{168}^{o}}\]                                   done clear
  D)
         \[{{180}^{o}}\] done clear
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• question_answer43)
  In a quadrilateral ABCD, diagonals bisect each other at right angles. If\[AB=BC=AD=6\,\,cm\], find the length of\[CD\].
  A)
  \[3\,\,cm\]          done clear
  B)
                     \[6\,\,cm\]               done clear
  C)
         \[6\sqrt{2}cm\]               done clear
  D)
         \[12\,\,cm\]      done clear
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• question_answer44)
  In \[\Delta ABC\]\[,\] \[\angle A={{50}^{o}}\]\[,\]\[\angle B={{60}^{o}}\]and\[\angle c={{70}^{o}}\]. Find the measures of the angles of the triangle formed by joining the mid-points of the sides of\[\Delta ABC\].
  A)
  \[{{90}^{o}}\]                         done clear
  B)
         \[{{120}^{o}}\]                done clear
  C)
         \[{{180}^{o}}\]                                   done clear
  D)
         \[{{0}^{o}}\] done clear
  View Solution play_arrow

• question_answer45)
  In a quadrilateral three angles are in the ratio \[3:3:1\] and the fourth angle is\[{{80}^{o}}\]. Find the measure of the other angles.
  A)
  \[{{120}^{o}},\,\,{{120}^{o}},\,\,{{40}^{o}}\]          done clear
  B)
         \[{{100}^{o}},\,\,{{100}^{o}},\,\,{{80}^{o}}\]       done clear
  C)
         \[{{110}^{o}},\,\,{{110}^{o}},\,\,{{60}^{o}}\]          done clear
  D)
         \[{{90}^{o}},\,\,{{90}^{o}},\,\,{{30}^{o}}\] done clear
  View Solution play_arrow

• question_answer46)
  \[JUMP\] is a square with\[\angle JUP={{45}^{o}}\]. Find\[\angle PUM\].
  A)
  \[{{45}^{o}}\]                         done clear
  B)
         \[{{90}^{o}}\]         done clear
  C)
         \[{{35}^{o}}\]                         done clear
  D)
         \[{{15}^{o}}\] done clear
  View Solution play_arrow

• question_answer47)
  In\[\Delta DEF\], \[PQ\] is a line segment drawn through mid-points of \[DE\] and\[DF\]respectively. If\[EF=7.6\,\,cm\], find the length of\[PQ\].
  A)
  \[3.8\,\,cm\]                   done clear
  B)
         \[4.5\,\,cm\]             done clear
  C)
         \[7.2\,\,cm\]                   done clear
  D)
         \[2.6\,\,cm\] done clear
  View Solution play_arrow

• question_answer48)
  In quadrilateral \[ABCD\], \[\angle B={{90}^{o}},\,\,\angle C-\angle D\]\[={{60}^{o}}\]and\[\angle A-\angle C-\angle D={{10}^{o}}\]. Find\[\angle A\], \[\angle C\]and\[\angle D\].
  A)
  \[{{140}^{o}},\,\,{{95}^{o}},\,\,{{35}^{o}}\]           done clear
  B)
         \[{{95}^{o}},\,\,{{70}^{o}},\,\,{{65}^{o}}\] done clear
  C)
         \[{{25}^{o}},\,\,{{45}^{o}},\,\,{{105}^{o}}\]           done clear
  D)
         \[{{150}^{o}},\,\,{{20}^{o}},\,\,{{35}^{o}}\]        done clear
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• question_answer49)
  Two angles of a quadrilateral are \[{{60}^{o}}\] \[\text{are}\] \[{{70}^{o}}\] and other two angles are in the ratio of\[8:15\]. Which of the following are the remaining two angles?
  A)
  \[{{80}^{o}},\,\,{{150}^{o}}\]                       done clear
  B)
         \[{{90}^{o}},\,\,{{140}^{o}}\]                done clear
  C)
         \[{{100}^{o}},\,\,{{130}^{o}}\]                      done clear
  D)
         \[{{110}^{o}},\,\,{{120}^{o}}\] done clear
  View Solution play_arrow

• question_answer50)
  In quadrilateral\[ABCD\]\[,\] \[\angle A+\angle C={{140}^{o}}\], \[\angle A:\]\[\angle C=1:3\]and\[\angle B:\angle D=5:6\]. Find the measures of\[\angle A,\,\,\angle B,\,\,\angle C\]and\[\angle D\].
  A)
   \[{{35}^{o}},\,\,{{100}^{o}},\,\,{{105}^{o}},\,\,{{120}^{o}}\] done clear
  B)
          \[{{60}^{o}},\,\,{{45}^{o}},\,\,{{75}^{o}},\,\,{{100}^{o}}\] done clear
  C)
          \[{{20}^{o}},\,\,{{60}^{o}},\,\,{{105}^{o}},\,\,{{135}^{o}}\] done clear
  D)
          \[{{45}^{o}},\,\,{{35}^{o}},\,\,{{90}^{o}},\,\,{{110}^{o}}\]       done clear
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• question_answer51)
  If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram.
  A)
   \[{{60}^{o}},\,\,{{120}^{o}},\,\,{{60}^{o}},\,\,{{120}^{o}}\] done clear
  B)
          \[{{90}^{o}},\,\,{{90}^{o}},\,\,{{90}^{o}}\] done clear
  C)
          \[{{80}^{o}},\,\,{{100}^{o}},\,\,{{80}^{o}},\,\,{{100}^{o}}\] done clear
  D)
          \[{{30}^{o}},\,\,{{150}^{o}},\,\,{{30}^{o}},\,\,{{100}^{o}}\] done clear
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• question_answer52)
  \[ABCD\] is a rhombus in which \[AC=16\,\,cm\] and \[BC=10\,\,cm\]. Find the length of the diagonal\[BD\]
  A)
  \[16\,\,cm\]                    done clear
  B)
          \[8\,\,cm\]            done clear
  C)
         \[12\,\,cm\]                    done clear
  D)
         \[10\,\,cm\]              done clear
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• question_answer53)
  \[ABCD\] is a parallelogram. The angle bisectors of \[\angle A\] and \[\angle D\] intersect at\[O\]. Find the measure of\[\angle AOD\].
  A)
  \[{{75}^{o}}\]                         done clear
  B)
         \[{{45}^{o}}\]              done clear
  C)
         \[{{90}^{o}}\]                         done clear
  D)
         \[{{180}^{o}}\] done clear
  View Solution play_arrow

• question_answer54)
  In quadrilateral\[PQRS\]\[,\]\[\angle P+\angle R={{140}^{o}}\] and\[\angle Q:\angle S=5:6\]. Find\[\angle Q\].
  A)
  \[{{100}^{o}}\]                                   done clear
  B)
         \[{{120}^{o}}\]                done clear
  C)
         \[{{105}^{o}}\]                                   done clear
  D)
         \[{{35}^{o}}\]         done clear
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• question_answer55)
  \[E\] and \[F\] are the midpoints of the sides \[AB\] and \[AC\] respectively of ; G and H are midpoints of the sides AE and AF respectively of \[\Delta AEF.\]If GH = 1.8 cm, find BC.
  A)
   0.9 cm                         done clear
  B)
          3.6 cm         done clear
  C)
          7.2 cm                         done clear
  D)
          5.4 cm done clear
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• question_answer56)
  Two opposite angles of a parallelogram are \[{{(3p-4)}^{o}}\]and\[{{(48-p)}^{o}}.\]What is the value of p?
  A)
   13                                done clear
  B)
          15             done clear
  C)
          17                                done clear
  D)
          20 done clear
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• question_answer57)
  In the given figure, \[\Delta ABC\]and \[\Delta DEF\]are such that\[AB=DE,\,BC=EF,\]and BC//EF. What is ADFC?
  A)
   A square                       done clear
  B)
          A rectangle             done clear
  C)
          A parallelogram             done clear
  D)
          A rhombus done clear
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