In Indus Valley Civilisation (about 300 b.C), The brick used for construction work were having dimension in the ration

1

(a)

1 : 3 : 4

(b)

4 : 2 : 1

(c)

4 : 4 : 1

(d)

4 : 3 : 2

Pythagoras was a student of

1

(a)

Thales

(b)

Euclid

(c)

both (a) and (b)

(d)

Archimedes

Number of dimension(s) a surface:

1

(a)

0

(b)

1

(c)

2

(d)

3

How many numbers of lines do pass through two distinct points?

1

(a)

1

(b)

2

(c)

3

(d)

4

The number of lines that can pass through a given point is:

1

(a)

two

(b)

none

(c)

only one

(d)

infinite many

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

1

(a)

two

(b)

Three

(c)

Only one

(d)

Four

Two planes intersect each other to form a:

1

(a)

plane

(b)

Point

(c)

straight line

(d)

angle

'Lines are parallel if they do not intersect' is stated in the form of:

1

(a)

an axiom

(b)

a definition

(c)

a postulate

(d)

a proof

The things which coincide with one another are:

1

(a)

equal to one another

(b)

un equal

(c)

double of same thing

(d)

triple of same thing

Euclid stated that things which are equal to the same thing are equal to one another in the form of:

1

(a)

an axiom

(b)

a definition

(c)

a postulate

(d)

a proof

The thing which coincide with one another are:

1

(a)

equal

(b)

unequal

(c)

half of some thinf

(d)

triple of one another

The things which are double of same thing are:

1

(a)

equal

(b)

halves of same thing

(c)

unequal

(d)

double of the same thing

Which of the following statement is incorrect?

1

(a)

A line segment has defined length

(b)

Three line are concurrent id and only if they have a common point

(c)

two lines drawn in a plane always intersected at a point

(d)

One and only one line can be drawn passing through a given point parallel to a given line

John Playfair was a 

1

(a)

french mathematician

(b)

Scottish mathematician

(c)

Indian mathematician

(d)

Egyptian mathematician

There exists a pair of straight lines that are everywhere equidistant from one another' is a direct consequence of Euclid's

1

(a)

first postulate

(b)

second postulate

(c)

third postulate

(d)

fifth postulate

What does a theorem require?

1

(a)

Theorem requires a proof.

Express in variables the things which are double of the same thing.

1

(a)

Let, First thing = x
Second thing = y
then, x = 2y

What is a straight line?

1

(a)

Two planes intersect each other to form a straight line.

Give any one example of a geometrical line from your surroundings.

1

(a)

Meeting place of two walls.

What is a surface?

1

(a)

A surface is that which has length and breadth.

State any two Euclid's axioms.

2

(a)

Ram and Ravi have the same weight. If they each gain weight by 2kg, how will their new weights be compared?

2

(a)

Show that of all the line segments drawn from a given point to a line, not on it, the perpendicular line segment is the shortest.

2

(a)

State playfair's axiom. Is it equivalent to one of the Euclid's postulate.

2

(a)

Prove that every line segment has one and only one mid-point.

2

(a)

Which of the following statements are true and which are false? Give reasons for your answers:
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A terminated line can be produced indefinitely on both the sides.
(iv) If two circles are equal, then their radii are Equal.

3

(a)

If a point C lies between two points A and B such that AC = BC, then prove that AC =\(1\over2\) AB. Explain by drawing the figure.

3

(a)

Point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.

3

(a)

In the given figure, we have \(\angle ABC=\angle ACB, \angle3=\angle4\). Show that \(\angle 1=\angle2.\)

3

(a)

In the given figure AB = BC and BX = BY. Show that AX = CY. State Euclid's Axiom used.

4

(a)

In figure, C is the mid-point of AB and Dis the mid-point of AC. Prove that AD = \(1\over2\)  AB.

4

(a)