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

done Intoduction to Euclids Geometry Total Questions - 25

• question_answer1)
  If a point C lies between A and B, then AC + BC = ____.
  A)
  2AB done clear
  B)
  AB done clear
  C)
  2BC done clear
  D)
  \[\frac{1}{2}AB\] done clear
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• question_answer2)
  Euclid's Postulate 1 is
  A)
   A straight line may be drawn from any point to any other point. done clear
  B)
   A terminated line can be produced indefinitely. done clear
  C)
   All right angles are equal to one another. done clear
  D)
   None of these done clear
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• question_answer3)
  A solid has____.
  A)
   0 dimension     done clear
  B)
   1 dimension      done clear
  C)
          2 dimensions    done clear
  D)
          3 dimensions     done clear
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• question_answer4)
  If C be the mid-point of a line segment AB, then AC = BC = (_) AB.
  A)
   3                                 done clear
  B)
   \[\frac{1}{2}\]              done clear
  C)
   2                     done clear
  D)
         \[\frac{1}{4}\]               done clear
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• question_answer5)
  Two distinct intersecting lines cannot be parallel to the ____ line.
  A)
   Same    done clear
  B)
   Different           done clear
  C)
          Both [a] and [b] done clear
  D)
                      None of these done clear
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• question_answer6)
  Which of the following options has one fixed end point and can be extended in the other direction indefinitely?
  A)
   A ray                           done clear
  B)
   A line   done clear
  C)
                      A line segment   done clear
  D)
          All of these done clear
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• question_answer7)
  Which of the following is a false statement?
  A)
   An infinite number of lines through a given point. done clear
  B)
   A unique line can be drawn to pass through two given points. done clear
  C)
   Ray\[=ray\text{ }.\] done clear
  D)
   A ray has one end point. done clear
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• question_answer8)
  Things which are equal to the same thing are ____ to one another.
  A)
   perpendicular    done clear
  B)
   not equal          done clear
  C)
          equal                done clear
  D)
          parallel             done clear
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• question_answer9)
  According to Euclid's axioms, the ____ is greater than the part.
  A)
   half                              done clear
  B)
   large                 done clear
  C)
   whole               done clear
  D)
          None of these done clear
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• question_answer10)
  Which of the following is not a Euclid's axiom?
  A)
   The whole is greater than the part. done clear
  B)
   Things which are double of the same things are equal to one another. done clear
  C)
   Thing which are halves of the same things are equal to one another. done clear
  D)
   If two things are equal, then their sum is equal to \[\frac{1}{3}\] of the one thing. done clear
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• question_answer11)
  According to Euclid, a surface has ____.
  A)
   Length but no breadth and thickness done clear
  B)
   Length and breadth but no thickness done clear
  C)
   No length, no breadth and no thickness done clear
  D)
   Length, breadth and thickness done clear
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• question_answer12)
  If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ____ two right angles.
  A)
   Equal to done clear
  B)
   More than           done clear
  C)
                 Less than done clear
  D)
   Can't be determined                done clear
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• question_answer13)
  Find the number of dimension(s) a line has.
  A)
   0                                 done clear
  B)
   1                     done clear
  C)
          2                     done clear
  D)
          3                                 done clear
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• question_answer14)
  In the given figure, if AC =BD, then____.
  A)
   AB = BD         done clear
  B)
   BC = CD         done clear
  C)
          AB = CD       done clear
  D)
          AC = AB                     done clear
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• question_answer15)
  Euclid stated that 'all right angles are equal to one another', in the form of ____.
  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_answer16)
              A surface has____.
  A)
   0 dimension     done clear
  B)
   1 dimension      done clear
  C)
          2 dimensions    done clear
  D)
          3 dimensions     done clear
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• question_answer17)
  Two distinct points in a plane determine ______ line(s).
  A)
   Unique                         done clear
  B)
   Two                 done clear
  C)
          Three               done clear
  D)
          None of these                done clear
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• question_answer18)
  Rectilinear figure is formed by ______.
  A)
   Planes              done clear
  B)
   Points   done clear
  C)
          Straight lines     done clear
  D)
          None of these                done clear
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• question_answer19)
  In the given figure PR = QS then which of the following axioms shows that PQ= RS?
  A)
   The whole is greater than the part. done clear
  B)
   If equals are subtracted from equals, the remainders are equal. done clear
  C)
   Things which are equal to the same things are equal to one another. done clear
  D)
   None of these done clear
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• question_answer20)
  Which of the following needs a proof?
  A)
   an axiom          done clear
  B)
   a definition        done clear
  C)
          a postulate       done clear
  D)
          a theorem done clear
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• question_answer21)
  Which of the following statements is CORRECT?
  A)
   There exist only one circle with centre at a given point.       done clear
  B)
   There exist a point through which no line can pass. done clear
  C)
   Two parallel lines cannot have a common point.    done clear
  D)
   All of these        done clear
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• question_answer22)
  Fill in the blanks.

  (i) Two lines in a plane not having any point common are called P lines.

  (ii) The edges of a surface are Q.

  (iii) Two distinct planes can intersect at R points.

  (iv) S planes can pass through two distinct points.

             
  A)

  P	Q	R	S
  Parallel	lines	infinite	infinite

                  done clear
  B)

  P	Q	R	S
  Parallel	planes	one	one

                  done clear
  C)

  P	Q	R	S
  Perpendicular	lines	one	zero

                  done clear
  D)

  P	Q	R	S
  Perpendicular	planes	infinite	infinite

  done clear
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• question_answer23)
  State T for true and 'F' for false.

  (i) There are infinite points on a line' is an Euclidean postulate.

  (ii) Only one plane passes through three non- collinear points.

  (iii) Boundaries of solids are surfaces.

  A)

  (i)	(ii)	(iii)
  F	F	F

                  done clear
  B)

  (i)	(ii)	(iii)
  T	T	F

                  done clear
  C)

  (i)	(ii)	(iii)
  T	F	T

                  done clear
  D)

  (i)	(ii)	(iii)
  F	T	T

  done clear
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• question_answer24)
  Match the following.

  	Column-I		Column-II
  p.	All right angles are equal to one another	(i)	Postulate-2
  Q.	A terminated line can be produced indefinitely.	(ii)	Postulate-3
  R.	A circle can be drawn with any centre and any radius.	(iii)	Postulate-1
  S.	A straight line may be drawn from any one point to any other point	(iv)	Postulate-4

  A)
  \[p\to (iv);Q\to (iii);R\to (i)S\to (ii)\] done clear
  B)
  \[p\to (ii);Q\to (iv);R\to (i)S\to (iii)\] done clear
  C)
  \[p\to (iv);Q\to (i);R\to (ii)S\to (iii)\] done clear
  D)
  \[p\to (iii);Q\to (i);R\to (ii)S\to (iv)\]   done clear
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• question_answer25)
  Which of the following statements is CORRECT?
  A)
   For every line \[l\] and for every point P not lying on \[l\], there exist a unique line m passing through P and parallel to\[l.\] done clear
  B)
   For two distinct point A and B, there exists a third point C lying on the line AB which is in between A and B. done clear
  C)
   A figure formed by the line segments is called a rectilinear figure. done clear
  D)
   All are correct done clear
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