Class 9 →
Mathematics →
Introduction to Euclid's Geometry
Review
Practice
Q1.
How many postulates does Euclidean geometry have?
5
Show Answer
Q2.
Euclid belonged to which country?
Greece
Show Answer
Q3.
Which of the following has no dimension?
A Line
B Line segment
C Point
D Plane
Q4.
Which of the following does a line have?
A One dimension
B Two dimensions
C No dimension
D Three dimensions
Q5.
Euclid’s Elements is divided into how many books?
Q6.
Axioms apply to which of the following?
A Geometry only
B All mathematics
C Algebra only
D None
Q7.
Which of the following is an undefined term in Euclidean geometry?
A Rectangle
B Plane
C Circle
D None
Q8.
If AB = CD and \( CD\neq EF \), which of the following is true?
A AB = EF
B \( AB \neq EF \)
C EF = CD
D None
Q9.
Which of the following is not an axiom of Euclid?
A Whole is greater than part
B Things equal to same are equal
C Parallel lines never meet
D If equals are added to equals, the wholes are equal
Q10.
In the adjoining figure, if AC = BD then:
A AB = BC
B BC = CD
C AB = CD
D AC = CD
Q11.
What is a statement that is accepted without proof called?
Axiom
Show Answer
Q12.
Of whom was Pythagoras a student?
Thales
Show Answer
Q13.
Which of the following statements is incorrect?
A infinitely many lies can pass through a single point.
B A terminated line can be produced indefinitely on both the sides.
C If two circles are equal, then their radii are equal.
D There are an infinite number of lines which pass through two distinct points.
Q14.
If A = B and B = C, then A = C represents which of the following?
A Postulate
B Axiom
C Theorem
D None
Q15.
Which of the following statements is not justified by Euclid’s postulates?
A A line can be drawn joining any two points
B A terminated line can be extended indefinitely
C A circle can be drawn with any centre and radius
D Two distinct lines can have more than one point in common
Q16.
According to the Postulates of Euclidean Geometry, how many planes pass through 3 non-collinear points?
1
Show Answer
Q17.
Euclid’s fifth postulate deals with:
A Lines
B Angles
C Parallel lines
D Circles
Q18.
A point C is called the midpoint of a line segment AB if:
A AC + CB = AB
B AC = CB
C Point C lies on segment AB such that AC=CB
D C is an interior point of AB
Q19.
If A, B and C are three points on a line and B lies between A and C, then:
A AC + BC = AB
B AB + AC = BC
C AB + BC = AC
D AC + AC = AB
Q20.
How many lines can be drawn passing through two coincident points?
A Infinitely many
B One
C Two
D Zero
Q21.
Which of the following is true?
A A plane contains only lines
B A plane contains only points
C A plane contains lines and points
D None
Q22.
Which of the following is derived from axioms?
A Postulate
B Theorem
C Definition
D Elements
Q23.
If AB = PQ and PQ = XY then:
A AB = XY = 2PQ
B AB + PQ=AY
C AB + PQ = XY
D AB + PQ = 2XY
Q24.
Assertion (a): if X = Y and Z = Y then X = Z
Reason (b): Things equal to same things are equal to one another.
A Both a and b are correct.
B Both a and b are incorrect
C only a is correct.
D Only b is correct
Q25.
Assertion (a): if X = 2Y and Z = 2Y then X = Z.
Reason (b): Things equal to same things are equal to one another.
A Both a and b are correct.
B Both a and b are incorrect.
C only a is correct.
D Only b is correct.
Q26.
How many dimensions does a point have?
0
Show Answer
Q27.
How many dimensions does a surface have?
2
Show Answer
Q28.
How many definitions does Book I of Euclid’s Elements contain?
23
Show Answer
Q29.
How many subsidiary triangles does the interwoven triangles in the Sri Yantra (given in the Atharvaveda) produce?
43
Show Answer
Q30.
Name the Scottish mathematician who formulated the simplified version of the fifth postulate of Euclidean geometry.
John Playfair
Show Answer
Q31.
How many propositions / theorems did Euclid deduce in The Elements?
465
Show Answer
Q32.
A line segment has how many midpoints?
1
Show Answer
Q33.
If \( \text {l} \) is a line and P is a point not lying on it, then how many lines are there which pass through P and parallel to \( \text {l} \)?
1
Show Answer
Q34.
Ramesh is of the same age as Suresh. Ram is also of the same age as Suresh. Which of Euclid's Axiom illustrates the relationship between the ages of Ramesh and Ram?
A If equal added to equal, the whole are equal.
B Things which coincide with one another are equal to one another.
C Things which are equal to same thing are equal to one another.
D None of these.
Q35.
How many lines can pass through three non-collinear points?
3
Show Answer
Q36.
In the adjoining figure, if \(\angle 1 = \angle 3 \text { and } \angle 2 = \angle 4 \), Then \(\angle A = \angle C \). Which of the following is the most appropriate reason?
A Things which are equal to same thing are equal to one another.
B If equals are added to equals, the whole are equal.
C The whole is greater than the part.
D Things which are halves of the same thing are equal to one another.
Q37.
Who is known as the Father of Geometry?
Euclid
Show Answer
Q38.
To whom is the statement “A circle is bisected by its diameter” the first known geometric theorem attributed?
Thales
Show Answer
Q39.
In how many directions a terminated line can be produced indefinitely?
2
Show Answer
Q40.
Which of Euclid’s postulates does the given figure illustrate?
Fifth postulate
Show Answer