8th Class Mathematics Understanding Quadrilaterals Question Bank

done Understanding Quadrilaterals Total Questions - 44

• question_answer1)
  ABCD is a quadrilateral. If AC and BD bisect each other, what is ABCD?
  A)
   A square      done clear
  B)
                          A parallelogram done clear
  C)
                          A rectangle    done clear
  D)
                          All the above done clear
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• question_answer2)
  ABCD is a parallelogram. The angle bisectors of \[\angle A\] and \[\angle D\] meet at O. What is the measure of \[\angle AOD\]?
  A)
   \[{{45}^{o}}\]                    done clear
  B)
                          \[{{90}^{o}}\]                    done clear
  C)
                          \[{{75}^{o}}\]                                    done clear
  D)
                          \[{{180}^{o}}\]                 done clear
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• question_answer3)
  The diagonal of a rectangle is \[10\text{ }cm\] and its breadth is\[6\text{ }cm\]. What is its length?
  A)
   \[6\text{ }cm\] done clear
  B)
                                                         \[5\,\,cm\]                         done clear
  C)
                          \[8\,\,cm\]                         done clear
  D)
                          \[4\,\,cm\] done clear
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• question_answer4)
  ABCD and MNOP are quadrilaterals as shown in the figure.                  Which of the following 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)
                          Either (B) or (C) done clear
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• question_answer5)
  What do you call a parallelogram which has equal diagonals?
  A)
   A trapezium   done clear
  B)
                          A rectangle done clear
  C)
                          A rhombus    done clear
  D)
                          A kite done clear
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• question_answer6)
  In a square ABCD, the diagonals bisect at O. What type of a triangle is 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_answer7)
  The perimeter of a parallelogram is\[180\text{ }cm\]. If one side exceeds the other by \[10\text{ }cm,\] what are the sides of the parallelogram?
  A)
   \[40\text{ }cm,\text{ }50\text{ }cm~\] done clear
  B)
                          \[45\text{ }cm\] each done clear
  C)
                          \[50\text{ }cm\] each    done clear
  D)
                          \[45\text{ }cm,\text{ }50\text{ }cm\] done clear
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• question_answer8)
  In the quadrilateral ABCD, the diagonals   AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?
  A)
   A square      done clear
  B)
                          A parallelogram done clear
  C)
                          A rhombus    done clear
  D)
                          A trapezium done clear
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• question_answer9)
  ABCD is a parallelogram as shown in the figure. If \[AB=2AD\]and P is the mid-point of AB, what is 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
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• question_answer10)
  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
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• question_answer11)
  If ABCD is an isosceles trapezium, what is the measure of \[\angle C\]?
  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_answer12)
  A diagonal of a rectangle is inclined to one side of the rectangle at \[{{25}^{o}}\]. What is the measure of the acute angle between the diagonals?
  A)
   \[{{25}^{o}}\]                    done clear
  B)
                          \[{{40}^{o}}\]  done clear
  C)
                          \[{{50}^{o}}\]                    done clear
  D)
                          \[{{55}^{o}}\] done clear
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• question_answer13)
  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
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• question_answer14)
  If AB and CD are diameters, what is ACBD?
  A)
   A square done clear
  B)
                          A trapezium done clear
  C)
                          An isosceles trapezium done clear
  D)
                          A rectangle done clear
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• question_answer15)
  If two adjacent angles of a parallelogram are in the ratio \[3:2,\]what are their measures?
  A)
   \[{{108}^{o}},{{72}^{o}}\]      done clear
  B)
                          \[{{72}^{o}},{{36}^{o}}\] done clear
  C)
                          \[{{100}^{o}},{{80}^{o}}\]      done clear
  D)
                          \[{{144}^{o}},{{36}^{o}}\] done clear
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• question_answer16)
  ABC and DEF are straight lines. Find the value of 'x',
  A)
   \[{{60}^{o}}\]                                    done clear
  B)
                          \[{{70}^{o}}\]                    done clear
  C)
                          \[{{80}^{o}}\]                                    done clear
  D)
                          \[{{85}^{o}}\]                    done clear
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• question_answer17)
  ABCD is a rectangle. Its diagonals meet at O. Find x; if \[OA=2x+4\]and \[OD=3x+1\].
  A)
   \[2\]     done clear
  B)
                                                          \[3\]                     done clear
  C)
                          \[-3\]                    done clear
  D)
                          \[-2\] done clear
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• question_answer18)
  ABCD is a rhombus. Find the respective values of x, y and z.
  A)
   \[12,5,13\]                         done clear
  B)
                          \[5,12,13\]         done clear
  C)
                          \[5,13,5\]                            done clear
  D)
                          \[12,13,5\] done clear
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• question_answer19)
  In the figure, ABCD is a parallelogram. Find the respective values of x, y and z.
  A)
   \[{{100}^{o}},\text{ }{{80}^{o}},\text{ }{{100}^{o}}\] done clear
  B)
                          \[{{100}^{o}},\text{ }{{100}^{o}},\text{ }{{80}^{ol}},\] done clear
  C)
                          \[{{80}^{o}},{{100}^{o}},{{100}^{o}}\] done clear
  D)
                          \[{{80}^{o}},{{80}^{o}},{{100}^{o}}\] done clear
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• question_answer20)
  In the figure, ABCD is a rhombus and ABDE is a parallelogram. Given that EDC is a straight line and \[\angle AED={{36}^{o}}\] find \[\angle BAD\].
  A)
   \[{{36}^{o}}\]                    done clear
  B)
                          \[{{72}^{o}}\]    done clear
  C)
                          \[{{108}^{o}}\]                 done clear
  D)
                          \[{{120}^{o}}\] done clear
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• question_answer21)
  Four of the angles of a pentagon are of equal size. The remaining angle is\[{{120}^{o}}\]. Find the value of each of the equal angles.
  A)
   \[{{210}^{o}}\]                 done clear
  B)
                          \[{{110}^{o}}\] done clear
  C)
                          \[{{540}^{o}}\]                 done clear
  D)
                          \[{{105}^{o}}\] done clear
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• question_answer22)
  Each interior angle of a regular polygon is \[{{150}^{o}}\] How many sides has the polygon?
  A)
   \[8\]                                     done clear
  B)
                          \[12\]                   done clear
  C)
                          \[9\]                                     done clear
  D)
                          \[10\] done clear
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• question_answer23)
  In the figure, ABCD is a trapezium and \[AD=AE\].          Find the value of x'.
  A)
   \[{{30}^{o}}\]                    done clear
  B)
                          \[{{40}^{o}}\]    done clear
  C)
                          \[{{60}^{o}}\]                                    done clear
  D)
                          \[{{50}^{o}}\] done clear
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• question_answer24)
  The figure shows a hexagon ABCDEF. \[\angle A=\angle D={{100}^{o}}\].The other angles are of the same size. Find \[\angle ABC\].
  A)
   \[{{100}^{o}}\]                 done clear
  B)
                          \[{{110}^{o}}\] done clear
  C)
                          \[{{130}^{o}}\]                 done clear
  D)
                          \[{{120}^{o}}\]                 done clear
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• question_answer25)
  Each interior angle of a regular polygon is \[{{162}^{o}}\] How many sides has the polygon?
  A)
   \[12\]                   done clear
  B)
                                                          \[20\]                   done clear
  C)
                          \[16\]                                                   done clear
  D)
                          \[10\] done clear
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• question_answer26)
  ABCD is a quadrilateral such that \[AB=BC,\] \[AD=\frac{1}{2}CD\] and \[AD=\frac{1}{4}AB\]. If \[BC=12\text{ }cm,\]what is the measure of AD?
  A)
   \[6\,cm\]                            done clear
  B)
                          \[4\,cm\]            done clear
  C)
                          \[12\,cm\]                          done clear
  D)
                          \[3\,cm\]                            done clear
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• question_answer27)
  In the figure given, \[BD||AE\]. If \[\overline{CE}=3cm,\] what is the length of \[\overline{AC}\]?
  A)
   \[4\]                     done clear
  B)
                          \[3\sqrt{3}\]      done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[5\] done clear
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• question_answer28)
  How many measurements are 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_answer29)
  How many unique measurements are needed to construct a parallelogram?
  A)
   \[2\]                                     done clear
  B)
                          \[3\]    done clear
  C)
                          \[4\]                                     done clear
  D)
                          \[1\] done clear
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• question_answer30)
  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_answer31)
  What is the minimum number of measurements needed to construct a square?
  A)
   \[1\]                                     done clear
  B)
                          \[2\]      done clear
  C)
                         \[3\]                                      done clear
  D)
                          \[4\] done clear
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• question_answer32)
  In the diagram, KLMN is a constructed parallelogram. What is the measure of \[\angle KLM\]?
  A)
  \[{{15}^{o}}\]                     done clear
  B)
                         \[{{30}^{o}}\]                     done clear
  C)
                         \[{{45}^{o}}\]                     done clear
  D)
                         \[{{60}^{o}}\] done clear
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• question_answer33)
  The construction of which figure is shown in the given figure?
  A)
   A trapezium      done clear
  B)
                          A rhombus done clear
  C)
                          A rectangle   done clear
  D)
                          A kite done clear
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• question_answer34)
  In the figure, ABCD is a rhombus. AEC and BED are straight lines. What is the value of \[p+q+r+s+t\]?
  A)
   \[{{200}^{o}}\]                 done clear
  B)
                          \[{{270}^{o}}\]                 done clear
  C)
                          \[{{360}^{o}}\]                 done clear
  D)
                          \[{{540}^{o}}\] done clear
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• question_answer35)
  In a trapezium ABCD, AB is parallel to CD and the diagonals intersect each other at O. What is the ratio of OA and OC?
  A)
   \[\frac{OB}{OD}\]                                           done clear
  B)
                          \[\frac{BC}{CD}\]                            done clear
  C)
                          \[\frac{AD}{AB}\]                                            done clear
  D)
                          \[\frac{AC}{BD}\] done clear
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• question_answer36)
  In \[\Delta ABC,\] P and Q are the midpoints of AB and AC. If PQ is produced to R such that \[PQ=QR,\]what is PRCB?
  A)
   A rectangle   done clear
  B)
                          A square done clear
  C)
                          A rhombus   done clear
  D)
                          A parallelogram done clear
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• question_answer37)
  Three angles of a quadrilateral are equal and the measure of the fourth angle is \[{{120}^{o}}\]. Find the measure of each of these equal angles.
  A)
   \[{{80}^{o}}\]                    done clear
  B)
                          \[{{120}^{o}}\]                 done clear
  C)
                          \[{{60}^{o}}\]                    done clear
  D)
                          \[{{140}^{o}}\]                 done clear
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• question_answer38)
  A quadrilateral has three acute angles, each measuring \[{{75}^{o}}\] Find the measure of the fourth angle.
  A)
   \[{{65}^{o}}\]                    done clear
  B)
                          \[{{135}^{o}}\]                 done clear
  C)
                          \[{{140}^{o}}\]                 done clear
  D)
                         \[{{225}^{o}}\] done clear
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• question_answer39)
  In the figure given, PTU is a straight line. What is the value of x'?
  A)
   \[{{100}^{o}}\]                 done clear
  B)
                          \[{{110}^{o}}\]                 done clear
  C)
                          \[{{120}^{o}}\]                 done clear
  D)
                          \[{{130}^{o}}\]                 done clear
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• question_answer40)
  Equilateral \[\Delta \,ABC\]is drawn on the side \[AB\] of square, ABDE. Find the measure of Y shown in the figure.
  A)
   \[{{45}^{o}}\]                    done clear
  B)
                          \[{{135}^{o}}\]                 done clear
  C)
                          \[{{255}^{o}}\]                 done clear
  D)
                          \[{{225}^{o}}\] done clear
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• question_answer41)
  What is the measure of \[\angle XYW\] of the trapezium WXYZ given in the figure?
  A)
   \[{{28}^{o}}\]                    done clear
  B)
                          \[{{33}^{o}}\]                    done clear
  C)
                          \[{{55}^{o}}\]                    done clear
  D)
                          \[{{37}^{o}}\]                    done clear
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• question_answer42)
  In the given rectangle PQRS, find the measure of \[\angle POQ\]
  A)
   \[{{47}^{o}}\]                    done clear
  B)
                          \[{{24}^{o}}\]                    done clear
  C)
                          \[{{67}^{o}}\]                    done clear
  D)
                          \[{{58}^{o}}\] done clear
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• question_answer43)
  The figure given is made up of a square and two isosceles triangles. What is the measure of the angle marked m?
  A)
   \[{{105}^{o}}\]                 done clear
  B)
                          \[{{95}^{o}}\]                    done clear
  C)
                          \[{{135}^{o}}\]                 done clear
  D)
                          \[{{85}^{o}}\]                    done clear
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• question_answer44)
  \[\Delta \,\,BEF\] and \[\Delta \,\,FED\]are two isosceles w triangles in the square ABCD. What is the measure of \[\angle FBE\]?
  A)
   \[{{85}^{o}}\]                    done clear
  B)
                          \[{{65}^{o}}\]                    done clear
  C)
                          \[{{50}^{o}}\]                    done clear
  D)
                          \[{{130}^{o}}\] done clear
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