9th Class Mathematics Introduction to Euclid's Geometry Question Bank

done Introduction to Euclid's Geometry Total Questions - 44

• question_answer1)
  If \[C\] is the midpoint of the segment \[AB,\,\,P\] and \[Q\] are midpoints of the segments \[AC\] and \[BC\] respectively, find\[BQ\].
  A)
  \[\frac{1}{2}AB\]                       done clear
  B)
  \[\frac{1}{3}AB\]           done clear
  C)
  \[\frac{1}{4}AB\]           done clear
  D)
         \[\frac{1}{5}AB\]           done clear
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• question_answer2)
  If \[l,\,\,m\] and \[n\] are three distinct lines such that \[l||m\] and\[l||n\], which of the following holds good?
  A)
  \[m\bot n\]         done clear
  B)
         \[m||n\]            done clear
  C)
  \[m=n\] done clear
  D)
         \[l\bot n\]           done clear
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• question_answer3)
  If a point \[C\] lies in between \[A\] and\[B\], what is \[AC+BC\] equal to?
  A)
  \[AB\]                            done clear
  B)
  \[\frac{1}{2}AB\]           done clear
  C)
         \[2\,\,AB\]          done clear
  D)
         \[4\,\,AB\] done clear
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• question_answer4)
  If \[C\] is the midpoint of the line segment \[AB,\,\,D\] and \[E\] are midpoints of the segments \[AC\] and \[BC\] respectively, what is the length of\[AB\]?
  A)
  \[2\,\,AD\]                      done clear
  B)
  \[4\,\,BC\]          done clear
  C)
         \[4\,\,BE\]          done clear
  D)
         \[2\,\,CD\]          done clear
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• question_answer5)
  If \[AC=PQ\] and\[CP=BQ\], find the midpoint of the line segment\[AB\].
  A)
  \[P\]                              done clear
  B)
  \[Q\]      done clear
  C)
  \[C\]                  done clear
  D)
         \[B\]                  done clear
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• question_answer6)
  In the figure given, if\[AC=BD\], what is the measure of\[AB\]?
  A)
  \[AD\]                            done clear
  B)
  \[BD\]    done clear
  C)
  \[CD\]                done clear
  D)
         \[AC\]                            done clear
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• question_answer7)
  Which of the following describe a surface?
  A)
   Length and Breadth       done clear
  B)
   Length only       done clear
  C)
          Breadth only     done clear
  D)
          Length and Height                     done clear
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• question_answer8)
  How many points does a line contain?
  A)
   Two                             done clear
  B)
   Three   done clear
  C)
   Four                 done clear
  D)
          Infinitely many  done clear
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• question_answer9)
  If \[l||m\]and\[l\bot n\], identify the correct option.
  A)
  \[l||n\]                          done clear
  B)
  \[m\bot n\]         done clear
  C)
  \[m||n\]            done clear
  D)
         \[m\bot l\]          done clear
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• question_answer10)
  In the figure given, if \[A\] and \[B\] are the centres of the two intersecting circles, what type of a triangle is\[\Delta ABC\]?
  A)
   A scalene triangle done clear
  B)
   A right triangle done clear
  C)
   An isosceles triangle done clear
  D)
   An equilateral triangle done clear
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• question_answer11)
  What are the boundaries of surfaces?
  A)
   Surfaces           done clear
  B)
   Angles  done clear
  C)
   Lines    done clear
  D)
          Points   done clear
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• question_answer12)
  In ancient India, what are the shapes of altars used for house hold rituals?
  A)
   Squares and circles done clear
  B)
   Triangles and rectangles done clear
  C)
   Trapeziums and pyramids done clear
  D)
   Rectangles and squares done clear
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• question_answer13)
  Which of the following is stated in the form 'Lines are parallel if they do not intersect'?
  A)
   An axiom       done clear
  B)
   A definition       done clear
  C)
          A postulate     done clear
  D)
          A proof done clear
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• question_answer14)
  In Indus Valley Civilisation (about \[300\] B.C.), what were the dimensions of the bricks used for construction work?
  A)
  \[1:3:4\] done clear
  B)
         \[4:2:1\] done clear
  C)
  \[4:4:1\] done clear
  D)
         \[4:3:2\] done clear
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• question_answer15)
  How many interwoven isosceles triangles are there in Sriyantra (in the Atharvaveda)?
  A)
   Seven                           done clear
  B)
   Eight    done clear
  C)
          Nine                 done clear
  D)
          Eleven              done clear
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• question_answer16)
  Identify the incorrect statement,
  A)
   Only one line can pass through a single point. done clear
  B)
   Only one line can pass through two distinct points. done clear
  C)
   A terminated line can be produced indefinitely on both the sides. done clear
  D)
   If two circles are equal, their radii are equal. done clear
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• question_answer17)
  Which of the following is the shape of the base of a solid pyramid?
  A)
   A triangle                      done clear
  B)
   A square           done clear
  C)
          A rectangle    done clear
  D)
          Any polygon     done clear
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• question_answer18)
  How many lines can pass through a given point?
  A)
   Two                             done clear
  B)
   None    done clear
  C)
          Only one       done clear
  D)
          Infinitely many done clear
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• question_answer19)
  What is the shape of the side faces of a pyramid?
  A)
   Triangles           done clear
  B)
   Squares            done clear
  C)
          Polygons           done clear
  D)
          Trapeziums                   done clear
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• question_answer20)
  What is the number of line segments determined by three collinear points?
  A)
   Two                             done clear
  B)
   Three   done clear
  C)
          Only one          done clear
  D)
          Four done clear
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• question_answer21)
  To which of the following countries did Euclid belong?
  A)
   Babylonia      done clear
  B)
          Egypt   done clear
  C)
          Greece              done clear
  D)
          India                done clear
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• question_answer22)
  What is the number of line segments determined by three given non-collinear points?
  A)
   Two                             done clear
  B)
   Three   done clear
  C)
          Infinitely many done clear
  D)
          Four done clear
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• question_answer23)
  Given four points such that no three of them are collinear, what is the number of lines that can be drawn through them?
  A)
   \[2\] lines          done clear
  B)
          \[4\] lines          done clear
  C)
          \[6\] lines          done clear
  D)
          \[8\] lines                      done clear
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• question_answer24)
  What is formed when two planes intersect each other?
  A)
   Plane                           done clear
  B)
   Point    done clear
  C)
          Straight line    done clear
  D)
          Angle               done clear
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• question_answer25)
  Which of the following are the three steps from solids to points?
  A)
   Solids - Surfaces - Lines - Points done clear
  B)
   Solids - Lines - Surfaces - Points done clear
  C)
   Lines - Points - Surfaces - Solids done clear
  D)
   Lines - Surfaces - Points - Solids done clear
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• question_answer26)
  Which of the following needs a proof?
  A)
   Axiom                          done clear
  B)
   Theorem           done clear
  C)
          Postulate          done clear
  D)
          Definition                      done clear
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• question_answer27)
  How many dimensions does a solid has?
  A)
   \[1\]                             done clear
  B)
   \[2\]                 done clear
  C)
   \[3\]                done clear
  D)
          \[0\] done clear
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• question_answer28)
  In which of the following forms did Euclid state that all right angles are equal to each other?
  A)
   An axiom         done clear
  B)
   A definition       done clear
  C)
          A postulate     done clear
  D)
          A proof             done clear
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• question_answer29)
  In which of the following forms did Euclid state that if equals are subtracted from equals, the remainders are equals?
  A)
   An axiom         done clear
  B)
   A postulate       done clear
  C)
          A definition     done clear
  D)
          A proof             done clear
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• question_answer30)
  Euclid divided his famous treatise ?The Elements? into how many chapters?
  A)
   \[13\] chapters               done clear
  B)
   \[12\] chapters   done clear
  C)
   \[11\] chapters    done clear
  D)
          \[9\] chapters done clear
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• question_answer31)
  If the point \[F\] lies in between \[M\] and \[N\] and \[C\] is the midpoint of \[MF\] which of the following is true?
  A)
  \[MC+FN=MN\] done clear
  B)
  \[MF+CF=MN\] done clear
  C)
  \[MC+FN=MN\] done clear
  D)
         \[CF+CN=MN\] done clear
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• question_answer32)
  It is known that if\[x+y=10,\,\,x+y+z=10+z\]. Which Euclid's axiom illustrates this statement?
  A)
   First Axiom       done clear
  B)
   Second Axiom done clear
  C)
          Third Axiom    done clear
  D)
          Fourth Axiom    done clear
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• question_answer33)
  What is the total number of propositions in the elements?
  A)
   \[465\]                          done clear
  B)
   \[460\]              done clear
  C)
   \[13\]                done clear
  D)
          \[55\] done clear
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• question_answer34)
  If a point \[P\] lies in between \[A\] and\[B\], which of the following is true?
  A)
  \[A=\frac{1}{2}AB\]                  done clear
  B)
  \[BP=\frac{1}{2}AB\]    done clear
  C)
         \[AP+PB=AB\] done clear
  D)
         \[AP=BP\] done clear
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• question_answer35)
  Identify the incorrect statement.
  A)
   If a point \[P\] lies in between \[A\] and\[B\], then \[AP<AB\] and\[BP<AB\]. done clear
  B)
   A line segment has fixed length. done clear
  C)
   One point always determines a unique line. done clear
  D)
   A line segment can be produced indefinitely on either side. done clear
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• question_answer36)
  If \[X,\,\,Y,\,\,Z\] are the three points on a line and \[Y\] lies between \[X\] and\[Z\], which of the following is true?
  A)
  \[XY+YZ=XZ\]  done clear
  B)
  \[XY+XZ=YZ\] done clear
  C)
         \[XZ+YZ=XY\] done clear
  D)
         \[\frac{1}{2}(XY+YZ)=XZ\]       done clear
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• question_answer37)
  \[ABCD\] are the four points on a line. If\[AD=BC\], which of the following has its length the same as\[BD\]?
  A)
  \[AD\]                            done clear
  B)
  \[BC\]                done clear
  C)
  \[AC\]                done clear
  D)
         \[CD\]                done clear
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• question_answer38)
  How many common points do two distinct lines in a plane have?
  A)
   Two points        done clear
  B)
   Three points      done clear
  C)
          One point      done clear
  D)
          Four points                    done clear
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• question_answer39)
  Two distinct parallel lines have how many common points?
  A)
   No                   done clear
  B)
          One                 done clear
  C)
   Two                 done clear
  D)
          Three               done clear
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• question_answer40)
  Things which are ________ of the same things are equal to one another.
  A)
   Parallel                         done clear
  B)
   Not equal          done clear
  C)
          Halves              done clear
  D)
          Triple               done clear
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• question_answer41)
  If a point \[R\] is the mid-point of a line\[MN\], which axiom states that\[MR=NR=\frac{MN}{2}\]?
  A)
   Axiom \[4\]                   done clear
  B)
   Axiom \[6\]       done clear
  C)
          Axiom \[5\]       done clear
  D)
          Axiom \[7\]                   done clear
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• question_answer42)
  If a point \[A\] lies in between \[B\] and\[C\], which of the following is true?
  A)
  \[BC=\frac{1}{2}AC\]                done clear
  B)
  \[BC=\frac{1}{2}AB\]    done clear
  C)
         \[AC=BC\]        done clear
  D)
         \[AB+AC=BC\]             done clear
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• question_answer43)
  Which of the following is true about two distinct lines?
  A)
   Always intersect. done clear
  B)
   Always either intersect or are parallel. done clear
  C)
   Always have two common points. done clear
  D)
   Always parallel. done clear
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• question_answer44)
  If \[C\] is the mid-point of the line segment \[AB,\,\,D\] and \[E\] are the mid-points of the segments \[AC\] and \[BC\] respectively, what is the length of\[AC\]?
  A)
  \[4AD\]              done clear
  B)
  \[3AD\]  done clear
  C)
  \[2AD\]              done clear
  D)
         \[AD\] done clear
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