OBJECTIVES OF EUCLID GEOMETRY - CLASS: IX

EUCLID GEOMETRY

FATHER OF GEOMETRY - EUCLID


MULTIPLE CHOICE QUESTIONS


1. How many straight lines can pass  through two given lines?
  a)  None       b).  Only one         c).  Two              d).  Three
2.  What is the least number of lines required to make a closed figure?
           a)  One         b) Two                  c).  Three           d)  Four
3.  Which of the following is an axiom?
           a) Theorem    b) Definitions   c)  The universal truth in all branches of Mathematics
       d) Universal truth specific to geometry
4.  How many dimension does a surface has?
           a).  One         b) Two               c)  Three              d)  Four
5.  A solid has how many dimensions?
           a).  One         b) Two               c)  Three              d) Four
6.  The figure formed by two straight lines having a common point between them is known as
           a)  Angle        b)  Triangle       c)  Rhombus          d).  Kite
7.  How many lines can passes through one common point?
           a)  One          b) Two               c).  Three             d).  Four
8.  Which of the following are boundaries of a surface?
           a)  Lines        b) Curves           c).  Surfaces        d).  Points
9. . Euclid belongs to
a) Greece                 b) Italy              c) Germany           d) Egypt
10 . The total number of propositions in the elements is?
a) 20                         b) 7                    c)13                      d) 465
11. Ram salary is equal to Mohan salary, Due to recession, the salaries of ram and Mohan are made half. The final salary of Ram will still be equal to Mohan. This is are per
a) Ist  axiom             b) 7th  axiom       c) 6th axiom          d) 2nd axiom
12 . Which of these statements are false?
a)The number of dimensions in the solid is 3
b) The number of dimensions in the surface is 2
c) The number of dimensions of a point is 1
d) None of these
13. The number of line segments determined by the three non collinear points is
a) one                          b) two                  c) three                          d) four
14. Boundaries of the solid are
a) lines                       b) points                c) surface                      d) curves
15. It is known that if p+q=11 then p+q+r=11+r. The Euclid axioms that illustrates this statement is
a) Ist axiom               b)3Th  axiom           c) 4th axiom                    d) 2nd axiom
16. which of the following is not an undefined term?
a) line            b) angle             c) plane            d) point
17. Which of the following needs a proof?
a) postulates       b) Definitions         c) Propositions         d) Axioms


True or False statement


a) In geometry, we take point, line and plane as defined term
b) Two lines drawn in a plane always intersect at a point
c) Only one line can pass through the two points X and Y
d) If two circle are equal, then there radii is also equal
e) Three points are concurrent if they have only one common point between them
f) The statements that are proved are called postulates
g) The whole is greater than the part is a postulate
h) If the area of square X equals to the area of rectangle Y and the area of rectangle Y is equal to area of circle Z,then area of square X equals to area of circle Z


MATCH THE FOLLOWING


1.                  LIST – A                                  LIST- B 
A) Who gave the proof that circle can be     1)  Brahagupta
          bisected  into two equal parts by
           its diameter 
B) Who derived the value for area of            2) Aryabatta
        isosceles triangle
C) Who derived the value for                        3) Bhaskara –II
       volume of pyramid       
D) Who  discovered the formula                   4) Thales
      for the finding the area of
       cyclic quadrilateral     
                                                                        5) Pythagoras


2.               LIST- A                                LIST-B

 P)  only one line can pass through                     1) One point
Q)  infinite number of lines can pass through     2) common
R)  two distinct lines can’t have more than
        one point in                                                  3) two point
S)  two distinct points always determines           4) a line

CODE:     P        Q           R         S

A)          1          4           3          2
B)          3          1           2          4
C)          3          2           1          4
D)          4          2           1          3

 

3.         LIST-A                LIST-B

P)   a point                         1)  has length and breadth
Q) a line                             2) has no part
R) a surface                       3) has breadthless length
S) ends of a line                4) points

CODE:         P      Q    R    S

A)                4     2     3     1
B)                2     4     3     1
C)                1     4     3     2
D)                2    3      1     4


4.              LIST-A                  LIST-B 

P) POSTULATE 1         1) A TERMINATED LINE CAN  BE PRODUCED                                                                                                     INDEFINITELY

Q) POSTULATES 2     2) ALL RIGHT ANGLES ARE EQUAL TO ONE                                                                                                      ANOTHER

R) POSTULATS 3       3) A STRAIGHT LINE MAY BE BE DRAWN FROM                                                                                            ONE POINT TO ANY OTHER POINTS

Q) POSTULATES 4      4) A CIRCLE CAN BE DRAWN WITH ANY                                                                                                           CENTRE AND RADIUS

CODE :        P    Q    R    S

A)              1     3     2    4
B)              4     3     2    1
C)              3     1     4    2
D)              3     4     1    2


FILL UPS:


1. The assumptions which are obvious universal truths is known as _________.
2. Things which are equal to the same things _________ to one another.
3. If equal are subtracted from equals, then remaining things are _______
4. Things  which are double of the same things are _____ to one another.
5. Two distinct intersecting lines cannot be ________ one anther.
6. All right angles are ________
7. The whole is greater than its ________________
8. Euclid’s is also known as ____________________
9. Point has ____________ dimensions
10. Line has ____________  dimensions
11. Surface has _________ dimensions
12. Solids has ___________ dimensions
13. Boundaries of a solid are called _____________
14. Boundaries of a surfaces are called __________
15. Lines end in ________________
16. Geometry is derived from __________ and _________ ( word)
17. Euclid was a students of ____________





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