8th Class Mathematics Understanding Quadrilaterals Question Bank

done Quadrilaterals Total Questions - 40

• question_answer1)
  If the area of trapezium PQRS is 100 cm2, find the value of\['x'\].
  A)
   6 cm                           done clear
  B)
   8 cm               done clear
  C)
        10 cm             done clear
  D)
        12 cm done clear
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• question_answer2)
  Which of the following conditions is necessary for a quadrilateral formed by joining the midpoints of the sides of a quadrilateral PQRS, taken in order, to be 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_answer3)
  If the angles of a quadrilateral are in the ratio 1: 2 : 3 : 4, find the angles.
  A)
  \[36{}^\circ ,\text{ }72{}^\circ ,\text{ }108{}^\circ ,\text{ }144{}^\circ \] done clear
  B)
  \[50{}^\circ ,\text{ }40{}^\circ ,\text{ }80{}^\circ ,\text{ }190{}^\circ \] done clear
  C)
  \[60{}^\circ ,\text{ }70{}^\circ ,\text{ }200{}^\circ ,\text{ }30{}^\circ \] done clear
  D)
  \[120{}^\circ ,\text{ }40{}^\circ ,\text{ }130{}^\circ ,\text{ }70{}^\circ \] done clear
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• question_answer4)
  In the given figure, if FAUL is a parallelogram, find the value of \[x.\]
  A)
  \[140{}^\circ \] done clear
  B)
       \[120{}^\circ \] done clear
  C)
       \[110{}^\circ \] done clear
  D)
       \[130{}^\circ \] done clear
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• question_answer5)
  Find the number of sides of a regular polygon whose each exterior angle has a measure of \[60{}^\circ \].
  A)
   6         done clear
  B)
        5        done clear
  C)
        3                     done clear
  D)
        4                     done clear
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• question_answer6)
  In which of the following figures, do the diagonals bisect each other?
  A)
   Trapezium                  done clear
  B)
   Parallelogram done clear
  C)
   Rhombus                    done clear
  D)
   Rectangle                    done clear
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• question_answer7)
  What is the minimum number of dimensions needed to construct a rectangle?
  A)
  1                      done clear
  B)
  2          done clear
  C)
       3         done clear
  D)
       4                      done clear
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• question_answer8)
  Choose the correct statement.
  A)
  The diagonals of a parallelogram are equal. done clear
  B)
  The diagonals of a rectangle are perpendicular to each other. done clear
  C)
  If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus. done clear
  D)
  Every quadrilateral is either a trapezium or a parallelogram or a kite. done clear
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• question_answer9)
  In the given figure, find the value of \[x\text{ }+\text{ }y\text{ }+\text{ }z.\]
  A)
  \[270{}^\circ \] done clear
  B)
  \[300{}^\circ \] done clear
  C)
       \[360{}^\circ \] done clear
  D)
       \[180{}^\circ \] done clear
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• question_answer10)
  What is the exterior angle of a regular polygon of 'n' sides?
  A)
  \[4n\times {{90}^{o}}\]                    done clear
  B)
   \[\frac{{{360}^{o}}}{n}\] done clear
  C)
  \[(2n-4)\times {{90}^{o}}\]  done clear
  D)
        \[4\times {{90}^{o}}\]         done clear
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• question_answer11)
  Which of the following is correct?
  A)
   All rhombuses are parallelograms. done clear
  B)
   All squares are not parallelograms. done clear
  C)
   All kites are rhombuses. done clear
  D)
   All rectangles are squares. done clear
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• question_answer12)
  Which of the following is a regular polygon?
  A)
   Parallelogram              done clear
  B)
   Rectangle        done clear
  C)
   Square         done clear
  D)
   Rhombous                  done clear
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• question_answer13)
  Which of the following is true of adjacent angles of a parallelogram?
  A)
   Equality                      done clear
  B)
   Complementary                      done clear
  C)
   Supplementary            done clear
  D)
   Inequality        done clear
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• question_answer14)
  The figure shows a seven-sided polygon in which \[\angle AGF\]is \[120{}^\circ \]. The other interior angles are equal. Find \[\angle ABC.\]
  A)
  \[130{}^\circ \] done clear
  B)
  \[140{}^\circ \] done clear
  C)
       \[118{}^\circ \] done clear
  D)
       \[120{}^\circ \] done clear
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• question_answer15)
  Which of the following is true about a polygon having interior angle less than \[180{}^\circ \]?
  A)
   Concave polygon    done clear
  B)
   Regular polygon done clear
  C)
                    Convex polygon          done clear
  D)
   Not a polygon             done clear
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• question_answer16)
  In the given figure, ABCD is a parallelogram, \[AB=(2x+6)\text{ }cm,\text{ }DC=(3x-10)\text{ }cm,\text{ }AE=2y\text{ }cm\]and CE = 26 cm. Find the values of x and y.
  A)
   12, 15                         done clear
  B)
   16, 13             done clear
  C)
        17, 20             done clear
  D)
        11, 14             done clear
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• question_answer17)
  ABCD is a parallelogram,\[\angle A\]is two thirds of\[\angle B.\]  Find \[\angle B.\]
  A)
  \[72{}^\circ \] done clear
  B)
  \[36{}^\circ \] done clear
  C)
       \[108{}^\circ \] done clear
  D)
       \[78{}^\circ \] done clear
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• question_answer18)
  Which of the following measurements form 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)
  \[PQ=7cm,\,QR=7cm,\,RS=8cm,SP=8cm\] done clear
  D)
  \[OP=6.5\,cm,OQ=6.5\,cm,QR=5.2cm,\]\[\,OS=5.2\,cm\] done clear
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• question_answer19)
  The ratio of an interior angle to the exterior angle of a regular polygon is 5:1. Find the number of sides of polygon.
  A)
   13                   done clear
  B)
   15                   done clear
  C)
   12                   done clear
  D)
        14 done clear
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• question_answer20)
  The exterior angle of a regular polygon is \[\frac{1}{3}\] of its interior angle. Find the number of sides of the polygon.
  A)
   6                     done clear
  B)
   7        done clear
  C)
        8                     done clear
  D)
        9                     done clear
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• question_answer21)
  In the given figure, ABCD is a parallelogram with AC = 14 cm and BD = 18 cm. If AC and BD intersect at O, find the respective values of OA and OB.
  A)
   7 cm, 9 cm           done clear
  B)
   3.5 cm, 4.5 cm            done clear
  C)
   3 cm, 5 cm       done clear
  D)
       6 cm, 8 cm done clear
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• question_answer22)
  The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm.
  A)
   8 cm                           done clear
  B)
   9cm    done clear
  C)
        7cm                done clear
  D)
        6cm done clear
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• question_answer23)
  Which of the following facts are correct about a polygon?

  (i) The number of sides of the polygon is 8 if the sum of interior angles is \[1080{}^\circ \].

  (ii) The sum of all interior angles of a Heptagon is \[720{}^\circ \].

  (iii) The sum of all exterior angles of a decagon is \[540{}^\circ \].

  (iv)  The ratio of the measure of an angle of regular octagon to the measure of its exterior angle is 3:1.

  A)
   Only (i), (ii) and (iii)    done clear
  B)
   Only (ii), (iii) and (iv) done clear
  C)
   Only (i), (ii) and (iv)     done clear
  D)
   All of these done clear
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• question_answer24)
  The perimeter of a parallelogram is 30 cm. If the longer side measures 10 cm, what is the measure of the shorter side?
  A)
   3 cm                           done clear
  B)
   4 cm               done clear
  C)
        5 cm               done clear
  D)
        6cm done clear
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• question_answer25)
  In trapezium ABCD, \[\overline{AB}\]is parallel to\[\overline{CD}.\]If \[\angle A={{50}^{o}},\angle B={{70}^{o}}.\] Find \[\angle C\]and \[\angle D.\]
  A)
  \[110{}^\circ ,\text{ }70{}^\circ \] done clear
  B)
  \[135{}^\circ ,\text{ }45{}^\circ \] done clear
  C)
       \[110{}^\circ ,\text{ }120{}^\circ \] done clear
  D)
       \[150{}^\circ ,\text{ }130{}^\circ \] done clear
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• question_answer26)
  Each interior angle of a regular polygon is \[150{}^\circ \]. Identify the number of sides of the polygon.
  A)
   10                   done clear
  B)
   11                   done clear
  C)
        13                   done clear
  D)
        12                   done clear
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• question_answer27)
  The diagram shows a rhombus ABCD. Find the angles \['x'\] and V.
  A)
  \[120{}^\circ ,\text{ }60{}^\circ \] done clear
  B)
  \[116{}^\circ ,\text{ }32{}^\circ \] done clear
  C)
  \[135{}^\circ ,\text{ }45{}^\circ \] done clear
  D)
      \[148{}^\circ ,\text{ }42{}^\circ \] done clear
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• question_answer28)
  RACE is a rhombus. Find OE and OR.
  A)
   5, 15                           done clear
  B)
   3, 14               done clear
  C)
   4, 12                                       done clear
  D)
   2, 10               done clear
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• question_answer29)
  The measures of two adjacent angles of a parallelogram are in the ratio 3: 2. Find them.
  A)
  \[100{}^\circ ,\text{ }80{}^\circ \] done clear
  B)
  \[115{}^\circ ,\text{ }75{}^\circ \] done clear
  C)
       \[120{}^\circ ,\text{ }60{}^\circ \] done clear
  D)
       \[108{}^\circ ,\text{ }72{}^\circ \] done clear
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• question_answer30)
  If the interior angle of a regular polygon is \[120{}^\circ \], find the number of its sides.
  A)
   3        done clear
  B)
                    4        done clear
  C)
        6                     done clear
  D)
        5 done clear
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• question_answer31)
  In the given design, eight isosceles trapeziums surround a regular octagon. What is the measure of \[\angle B\]in trapezium ABCD?
  A)
  \[35{}^\circ \] done clear
  B)
  \[45{}^\circ \] done clear
  C)
       \[55{}^\circ \] done clear
  D)
       \[65{}^\circ \] done clear
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• question_answer32)
  If each exterior angle of a regular polygon is \[36{}^\circ \] , find the number of its sides.
  A)
   12                               done clear
  B)
   11                   done clear
  C)
        10                   done clear
  D)
        8                     done clear
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• question_answer33)
  In the figure, ABCD is a parallelogram. Find the angles \['x'\]and\['y'\].
  A)
  \[100{}^\circ ,\text{ }60{}^\circ \] done clear
  B)
  \[120{}^\circ ,\text{ }25{}^\circ \] done clear
  C)
       \[130{}^\circ ,\text{ }50{}^\circ \] done clear
  D)
       \[110{}^\circ ,\text{ }35{}^\circ \] done clear
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• question_answer34)
  Which of the following is not true for 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 \[60{}^\circ \]. done clear
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• question_answer35)
  The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
  A)
   16 cm          done clear
  B)
   18 cm done clear
  C)
        20 cm            done clear
  D)
        26 cm             done clear
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• question_answer36)
  If the length of the diagonal of a square Is 20 cm, find its perimeter.
  A)
  \[20\sqrt{2}\,cm\]                    done clear
  B)
  \[30\sqrt{2}\,cm\]        done clear
  C)
       \[40\sqrt{2}\,cm\]            done clear
  D)
      \[50\sqrt{2}\,cm\]                    done clear
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• question_answer37)
  If ABCD is a parallelogram, find the value of \[\angle A-\angle C.\]
  A)
  \[180{}^\circ \] done clear
  B)
  \[0{}^\circ \] done clear
  C)
       \[360{}^\circ \] done clear
  D)
       \[90{}^\circ \] done clear
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• question_answer38)
  If the lengths of two diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.
  A)
   10 cm                         done clear
  B)
   14 cm             done clear
  C)
        8 cm               done clear
  D)
        6 cm   done clear
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• question_answer39)
  If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3:7:6: 4, which of the following shapes is PQRS?
  A)
   Rhombus              done clear
  B)
   Parallelogram  done clear
  C)
   Trapezium        done clear
  D)
        Kite                             done clear
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• question_answer40)
  The angle sum of the interior angles of a n-sided polygon is \[2700{}^\circ \]. Find the value of n.
  A)
  12                    done clear
  B)
  13                    done clear
  C)
       15                    done clear
  D)
       17 done clear
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