8th Class Mathematics Practical Geometry Question Bank

done Geomatry Total Questions - 40

• question_answer1)
  Which of the following statements is not true?
  A)
   In a convex polygon, the line segment joining any two points inside it lies completely inside the polygon. done clear
  B)
   A rhombus is not a regular polygon. done clear
  C)
   Each exterior angle of a regular octagon is \[48{}^\circ \]. done clear
  D)
   The measure of each angle of a regular hexagon is\[120{}^\circ \]. done clear
  E)
   None of these done clear
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• question_answer2)
  The exterior angle of a regular polygon is \[5{}^\circ \] more than one-fourth of its interior angle. Find \[\frac{8}{7}\] of the interior angle of such a regular polygon.
  A)
   \[40{}^\circ \]    done clear
  B)
        \[120{}^\circ \] done clear
  C)
   \[44{}^\circ \]                     done clear
  D)
         \[72{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer3)
  In a parallelogram RISE if OI = 4 cm and RS is 6 cm more than El, then find RO. (See the shown figure)
  A)
   6 cm                done clear
  B)
          7 cm        done clear
  C)
   6.5 cm             done clear
  D)
          7.5 cm done clear
  E)
   None of these done clear
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• question_answer4)
  If PQRS is a parallelogram in which \[\angle SPO=40{}^\circ \], \[\angle OPQ=25{}^\circ \] and \[\angle SOR==75{}^\circ \], then which one of the following is incorrect?
  A)
   \[\angle QRO=40{}^\circ \]   done clear
  B)
          \[\angle PQO=80{}^\circ \] done clear
  C)
   \[\angle PSO=25{}^\circ ~\] done clear
  D)
          \[\angle RQO=35{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer5)
  In a parallelogram PQRS, the bisectors of \[\angle P\]and \[\angle Q\] meet at M. Find\[\angle PMQ\].
  A)
   \[45{}^\circ \]                     done clear
  B)
         \[90{}^\circ \] done clear
  C)
   \[30{}^\circ \]                     done clear
  D)
         \[60{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer6)
  Two adjacent angles of a parallelogram are \[(5x+1){}^\circ ~\]and \[(6x-8){}^\circ ~\]. The angles of the parallelogram are_____.
  A)
   \[86{}^\circ ,\text{ }94{}^\circ ,\text{ }86{}^\circ ,\text{ }94{}^\circ \] done clear
  B)
          \[76{}^\circ ,\text{ }104{}^\circ ,\text{ }76{}^\circ ,\text{ }104{}^\circ \] done clear
  C)
   \[84{}^\circ ,\text{ }96{}^\circ ,\text{ }84{}^\circ ,\text{ }96{}^\circ \] done clear
  D)
          \[78{}^\circ ,\,\,{{120}^{o}},\text{ }78{}^\circ ,\text{ }102{}^\circ \] done clear
  E)
   Name of these done clear
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• question_answer7)
  In the following figure, find the measure of m° where ABCD and PQRS are the parallelograms.
  A)
   \[46{}^\circ \]                done clear
  B)
        \[34{}^\circ \] done clear
  C)
  \[62{}^\circ \]                  done clear
  D)
          \[39{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer8)
  In the following figure, HOPE is a parallelogram. Find the value of ?(x-y).
  A)
   7                     done clear
  B)
          \[\frac{21}{2}\]           done clear
  C)
   21                    done clear
  D)
          14 done clear
  E)
   None of these done clear
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• question_answer9)
  Which among the following statements is not true?
  A)
   The centroid of a triangle divides each median in the ratio 2:1. done clear
  B)
   The perpendicular bisectors of the sides of a triangle are Concurrent. done clear
  C)
   In a right angled triangle, the circumcenter is the mid-point of the hypotenuse. done clear
  D)
   The angle bisectors of a triangle are not concurrent. done clear
  E)
   None of these done clear
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• question_answer10)
  Find x in the following figure:
  A)
   \[65{}^\circ \]              done clear
  B)
          \[75{}^\circ \]           done clear
  C)
  \[80{}^\circ \]               done clear
  D)
          \[90{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer11)
  The four adjacent angles of a quadrilateral are in the ratio\[2:1:4:5\]. The quadrilateral is a _____
  A)
   parallelogram      done clear
  B)
          kite done clear
  C)
   trapezium        done clear
  D)
         rectangle done clear
  E)
   None of these done clear
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• question_answer12)
  The ratio of exterior angle to interior angle of a regular polygon is\[1:5\]. Find the number of sides of the polygon.
  A)
   10                    done clear
  B)
          8            done clear
  C)
   15                    done clear
  D)
          12 done clear
  E)
   None of these done clear
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• question_answer13)
  Which among the following is representing the ratio of each angle of a regular pentagon to regular octagon.
  A)
   \[4:5\]       done clear
  B)
          \[5:8\]         done clear
  C)
   \[2:3\]               done clear
  D)
          \[3:5\] done clear
  E)
   None of these done clear
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• question_answer14)
  A quadrilateral where all the sides, angles and diagonals are equal is a ____
  A)
   rhombus           done clear
  B)
          rectangle     done clear
  C)
   square              done clear
  D)
          trapezium done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer15)
  The number of sides of a regular polygon where each interior angle has a measure of \[157.5{}^\circ \] is_____
  A)
   12                    done clear
  B)
          14           done clear
  C)
   16      done clear
  D)
          18 done clear
  E)
   None of these done clear
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• question_answer16)
  In the shown figure, PQR is a straight line. If \[\angle SOR=80{}^\circ ,\] \[\angle ROQ=C,\] \[\angle SOP=b\]and\[\angle POT=a\]. If \[c=b-20{}^\circ \text{ }and\text{ }a=45{}^\circ \] then Find a: c.
  A)
   9: 8                  done clear
  B)
          8: 11       done clear
  C)
   8: 11                done clear
  D)
          5: 4 done clear
  E)
   None of these done clear
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• question_answer17)
  In a quadrilateral if angles are arranged in ascending order then each next angle becomes twice the first. Find the least angle of the quadrilateral.
  A)
   \[28{}^\circ \]            done clear
  B)
          \[24{}^\circ \]           done clear
  C)
   \[30{}^\circ \]              done clear
  D)
          \[36{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer18)
  In the figure below, the measure of \[\angle \]A of the trapezium ABCD, is _____            
  A)
   \[105{}^\circ \] done clear
  B)
          \[65{}^\circ \] done clear
  C)
   \[55{}^\circ \]              done clear
  D)
          \[115{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer19)
  Which one of the following has all the properties of a parallelogram and kite?
  A)
   Rectangle          done clear
  B)
          Trapezium     done clear
  C)
   rhombus           done clear
  D)
          square done clear
  E)
   None of these done clear
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• question_answer20)
  Which one among the following closed curve is not a polygon?
  A)
   IV                    done clear
  B)
          III            done clear
  C)
   II                     done clear
  D)
          I done clear
  E)
   None of these done clear
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• question_answer21)
  The maximum number of obtuse angles in a quadrilateral can be ____
  A)
   4                     done clear
  B)
          3       done clear
  C)
   2                     done clear
  D)
          1 done clear
  E)
   None of these done clear
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• question_answer22)
  Which of the following can never be the measure of exterior angles of a regular polygon?
  A)
   \[20{}^\circ \]              done clear
  B)
          \[27{}^\circ \]       done clear
  C)
   \[36{}^\circ \]              done clear
  D)
          \[72{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer23)
  In the following figure, \[PQ||TU\left| \text{ } \right|RS\] and\[PT\left| \text{ } \right|RQ\]. Find the value of x.
  A)
  \[80{}^\circ \]               done clear
  B)
         \[70{}^\circ \]           done clear
  C)
   \[90{}^\circ \]              done clear
  D)
          \[100{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer24)
  The measure of each angle of a regular polygon of 24 sides is ______
  A)
  \[155{}^\circ \]                    done clear
  B)
          \[165{}^\circ \] done clear
  C)
  \[170{}^\circ \]                    done clear
  D)
        \[118{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer25)
  The number of lines of symmetry for a parallelogram is _____
  A)
   4                     done clear
  B)
          1            done clear
  C)
   0       done clear
  D)
          2 done clear
  E)
   None of these done clear
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• question_answer26)
  Which among the following digit has two lines of symmetry?
  A)
   6                         done clear
  B)
      8 done clear
  C)
   9                          done clear
  D)
          5 done clear
  E)
   None of these done clear
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• question_answer27)
  Which one among the following is incorrect pair of figures and lines of symmetry?
  A)
   Kite-2          done clear
  B)
          An isosceles triangle   done clear
  C)
   Semicircle-1        done clear
  D)
          Rhombus-2 done clear
  E)
   None of these done clear
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• question_answer28)
  In the figure shown below, \[OS\bot ~OP,\text{ }OQ~\bot ~OT\]and OR is bisector of\[\angle SOQ\]. If \[\angle POT=48{}^\circ ,\]then find the measure of\[\angle ROS\].
  A)
   \[24{}^\circ \]              done clear
  B)
          \[48{}^\circ \] done clear
  C)
   \[42{}^\circ \]              done clear
  D)
          \[34{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer29)
  One angle of a quadrilateral is \[116{}^\circ \] and the remaining three angles are in the ratio of\[1:2:1\]. Find the greatest angle of the quadrilateral.
  A)
   \[116{}^\circ \]            done clear
  B)
          \[118{}^\circ \] done clear
  C)
   \[122{}^\circ \]        done clear
  D)
        \[132{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer30)
  In the following figure, find the value of\[x+y-z\].
  A)
   \[65{}^\circ \]              done clear
  B)
          \[70{}^\circ \]           done clear
  C)
   \[75{}^\circ \]              done clear
  D)
          \[80{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer31)
  Find the value of m in the following Figure.
  A)
   \[96{}^\circ \]              done clear
  B)
          \[100{}^\circ \]          done clear
  C)
   \[106{}^\circ \]        done clear
  D)
          \[108{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer32)
  In the following figure. Find the value of m.
  A)
   \[121{}^\circ \]            done clear
  B)
          \[131{}^\circ \]          done clear
  C)
   \[125{}^\circ \]            done clear
  D)
          \[135{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer33)
  The interior angle of a regular pentagon is three times the exterior angle of a regular ____
  A)
   heptagon             done clear
  B)
          octagon done clear
  C)
   nonagon                       done clear
  D)
   decagon done clear
  E)
   None of these done clear
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• question_answer34)
  Determine the value of \[\angle A+\angle B+\angle C+\angle D+\angle E\]from the following figure.
  A)
   \[320{}^\circ \]            done clear
  B)
          \[340{}^\circ \]          done clear
  C)
   \[180{}^\circ \]   done clear
  D)
          \[360{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer35)
  In a regular hexagon MNOPQR, determine the greatest angle of MNQ.
  A)
   \[30{}^\circ \]              done clear
  B)
          \[60{}^\circ \]           done clear
  C)
   \[90{}^\circ \]      done clear
  D)
          \[120{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer36)
  Two adjacent angles of a parallelogram are \[(6x-~16{}^\circ )\]and\[\left( 7x\text{ }+\text{ }14{}^\circ  \right)\]. Find the angles of the parallelogram.
  A)
   \[75{}^\circ ,\text{ }105{}^\circ ,\text{ }75{}^\circ ,\text{ }105{}^\circ \] done clear
  B)
          \[72{}^\circ ,\text{ }108{}^\circ ,\text{ }72{}^\circ ,\text{ }108{}^\circ \]             done clear
  C)
   \[68{}^\circ ,\text{ }112{}^\circ ,\text{ }68{}^\circ ,\text{ }112{}^\circ \] done clear
  D)
          \[58{}^\circ ,\text{ }122{}^\circ ,\text{ }58{}^\circ ,\text{ }122{}^\circ \] done clear
  E)
                None of these done clear
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• question_answer37)
  In the following figure diagonals of a rectangle PQRS meet at 0. If \[\angle QOR=64{}^\circ \], then find\[\angle OSP\].
  A)
   \[68{}^\circ \]                     done clear
  B)
       58° done clear
  C)
   \[62{}^\circ \]                     done clear
  D)
         \[72{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer38)
  The measure of angles of a heptagon are\[m{}^\circ ,\text{ }2m\]\[-\text{ }12{}^\circ ,\text{ }3m\text{ }-\text{ }18{}^\circ ,\text{ }3m\text{ }-\text{ }4{}^\circ ,\text{ }2m\text{ }-\text{ }10{}^\circ ,\text{ }6\text{ }\left( m-2 \right){}^\circ ,\]\[\left( m\text{ }+\text{ }2 \right){}^\circ \]. Find the value of m.
  A)
   \[33{}^\circ \]                     done clear
  B)
         \[53{}^\circ \] done clear
  C)
   \[45{}^\circ \]                     done clear
  D)
         \[48{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer39)
  Two angles of a quadrilateral are of measure \[74{}^\circ \] and the other two angles are equal. What is the measure of equal angles?
  A)
   \[105{}^\circ \]                          done clear
  B)
   \[106{}^\circ \] done clear
  C)
   \[108{}^\circ \]                   done clear
  D)
          \[112{}^\circ \] done clear
  E)
   None of these done clear
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• question_answer40)
  In the shown figure, the bisectors of \[\angle P\]and \[\angle Q\] meet at a point T. If \[\angle r=116{}^\circ \] and \[\angle S=64{}^\circ \] then find the measure of\[\angle PTQ\].
  A)
   \[30{}^\circ \]              done clear
  B)
          \[60{}^\circ \] done clear
  C)
   \[80{}^\circ \]              done clear
  D)
          \[90{}^\circ \] done clear
  E)
   None of these done clear
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