Test: Euclid's Geometry

QUESTION: 1

A circle can be drawn with any ……… and any radius.

A.
Point
B.
Coordinate
C.
Centre
D.
X- axis

Solution:

QUESTION: 2

Theorems are statements which are proved using definitions, _________, previously proved statements and deductive reasoning.

A.
Definitions
B.
Axioms
C.
Theorems
D.
Statements

Solution:

QUESTION: 3

Which among these is the relation between whole and the part?

A.
W < P
B.
W > P
C.
W = P
D.
None of these

Solution:

QUESTION: 4

Axiom and postulates are

A.
Conclusions
B.
Reasons
C.
Assumptions
D.
Questions

Solution: Axioms and postulates are assumption that are taken bu euclid to prove several theorems , axioms and postulates can not be proved as they are universal truth .

QUESTION: 5

The number of line segments determined by three collinear points is:

A.
Two
B.
Only one
C.
Four
D.
Three

Solution:

if the points are collinear then only 1 line can pass through 3 points as colinear mean the points which are on same line.

QUESTION: 6

The edges of a surface are.

A.
Lines
B.
Points
C.
Rays
D.
Planes

Solution: The edge of all surfaces are lines because any surface is made up of a plane and each plane is an area formed by collection of points so in this way the boundaries/edges are also formed by points. and a collection of points is called a line.

QUESTION: 7

Maximum numbers of points that can lie on a line are:

A.
Innumerable
B.
Two
C.
One
D.
Three

Solution:

QUESTION: 8

‘Lines are parallel if they do not intersect’ – is stated in the form of:

A.
A postulate
B.
An axiom
C.
A definition
D.
A proof

Solution:

It is stated in the form of postulate. It is Euclid's 5th postultes which states that "If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate".

QUESTION: 9

The things which are double of same things are:

A.
halves of same thing
B.
double of the same thing
C.
Equal
D.
Unequal

Solution:

Things which are double of the same things are equal to one another.
Example :
1. If 2x = 2y then x = y.
2. If a = b, then 2a = 2b

QUESTION: 10

If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then

A.
AB < AC
B.
AB > AC
C.
AB = AC
D.
None of these

Solution:

QUESTION: 11

How many points can be common in two distinct straight lines?

A.
one
B.
two
C.
three
D.
None

Solution: Two distinct lines will always intersect in at most one point. This will be true no matter how many dimensions we're in, as long as we're in a standard Euclidean geometry. One way to see this is to consider what happens if we have two lines which intersect in more than one point.

QUESTION: 12

Maximum number of lines that can pass through a single point are

A.
three
B.
one
C.
infinite
D.
two

Solution:

QUESTION: 13

A pyramid is a solid figure, the base of which is.

A.
Only a rectangle
B.
Only a square
C.
Only a triangle
D.
Any polygon

Solution:

A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. A pyramid has one base and at least three triangular faces. It has edges where faces meet each other or the base, vertices where two faces meet the base, and a vertex at the top where all of the triangular faces meet. A pyramid is named by the shape of its base.

QUESTION: 14

If a > b and b > c, then,

A.
a > c
B.
a < c
C.
a = c
D.
None of these

Solution: As a>b and b>c it means that a >b>c obviasly a >c is corrrect answer.

QUESTION: 15

Can two intersecting lines be parallel to a common line?

A.
sometimes
B.
Maybe
C.
Yes
D.
No

Solution: Two intersecting lines cannot be parallel to a common line.

QUESTION: 16

A proof is required for:

A.
Definition
B.
Postulate
C.
Axiom
D.
Theorem

Solution:

Theorum is a statement which can be proved. Axiom is universly accepted by all and do not require a proof. Postulate is same a Axiom but used for geometry.

QUESTION: 17

If a > b and b > c, then,

A.
a = c
B.
a < c
C.
a > c
D.
a ≤ c

Solution:

QUESTION: 18

If the point P lies between M and N and C is midpoint of MP then:

A.
MC +PN =MN
B.
MP + CP = MN
C.
MC + CN = MN
D.
CP + CN = MN

Solution:

QUESTION: 19

The edges of a surface are

A.
Plans
B.
Lines
C.
Points
D.
Rays

Solution:

QUESTION: 20

Which of these statements are false?

A.
The number of dimensions in the solid is three
B.
The number of dimensions of a point is 1
C.
The number of dimensions in the surface is two
D.
None of these

Solution:

20 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Euclid's Geometry

A circle can be drawn with any ……… and any radius.

Theorems are statements which are proved using definitions, _________, previously proved statements and deductive reasoning.

Which among these is the relation between whole and the part?

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