MATHS M.C.Q

3. Greece.

Solution:
Thales belongs to the country Greece. The Greeks were interested in establishing the truth of the statements they discovered using deductive reasoning. Thales, a Greeks mathematician, is credited with giving the first known proof.

2. Deductive reasoning.

Solution:
The Greeks were interested in establishing the truth of the statements they discovered using deductive reasoning. A Greek mathematician, Thales is credited with giving the first known proof.

1. Thales.

Solution:
Pythagoras (572 BC) was a student of Thales. Pythagoras and his group discovered many geometric properties and developed the theory of geometry to a great extent. This process continued till 300 BC. At that time, Euclid, a teacher of mathematics at Alexandria in Egypt, collected all the known work and arranged it in his famous treatise.

1. 13 chapters.

Solution:
Euclid divided his famous treatise 'The Elements' into 13 chapters.

2. 4 : 2 : 1

Solution:
Bricks used for construction work were having dimensions in the ratio are 4 : 2 : 1

2. 2

Solution:
Boundaries of a solid are called surfaces. A surface (plane) has only length and breadth. So, it has two dimensions.

2. A definition.

Solution:
‘Lines are parallel, if they do not intersect’ is the definition of parallel lines.

1. 465

Solution:
The total number of propositions in the Elements are 465.
Note: The statements that can be proved are called propositions or theorems. Euclid deduced 465 propositions in a logical chain using his axioms, postulates, definitions and theorems.

2. Second Axiom.

Solution:
The Euclid’s axiom that illustrates the given statement is second axiom, according to which. If equals are added to equals, the wholes are equal.

1. Solids - surfaces - lines - points.

Solution:
The three steps from solids to points are solids-surface-lines-points.

2. Curves.

Solution:
 The boundaries of surfaces are curves.

3. Nine.

Solution:
The number of interwoven isosceles triangle in Sriyantra (in the Atharva Veda) is nine.

1. 0

Solution:
A point is that which has no part i.e., no length, no breadth and no height. So, it has no dimension.

1. Squares and circles.

Solution:
In ancient India, squares and circular altars were used for household rituals.

3. Greece.

Solution:
Euclid belongs to the country Greece. Euclid around 300 B.C. collected all known work in the field of mathematics and arranged it in his famous treatise called Elements.

3. 3

Solution:
A solid has shape, size, position and can be moved from one place to another. So, a solid has three dimensions.
For example: cuboid, cube, cylinder, cone etc.

1. Theorem.

Solution:
The statements that were proved are called propositions or theorems.

3. A postulate.

Solution:
Euclid stated that all right angles are equal to each other in the form of a postulate.

1. Triangles.

Solution:
The side faces of a pyramid are always triangles.

1. Surfaces.

Solution:
Boundaries of solids are called surfaces.

4. Any polygon.

Solution:
A pyramid is a solid figure, the base of which is any polygon.
(A pyramid is a solid figure, the base of which is a triangle or square or some other polygon)

1. Public worship.

Solution:
In ancient India altars whose shapes were combinations of rectangles, triangles and trapeziums were used for public worship.