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

In ancient India, alters with combination of shapes like rectangles, triangles and trapeziums were used for

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

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

Two planes intersect each other to form a:

What is a straight line?

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

What is a surface?

Write the number of dimension(s) of a surface.

How can we identify parallel lines?

Consider the following statement: There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a

State any two Eulis's axioms.

State any two Euclid's axioms.

In the given figure, we have AB=AD and AC=AD. Prove that AB=AC. State the Euclid's axiom to support this.

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

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.

Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?
(i) parallel lines  
(ii) perpendicular lines
(iii) line segment
(iv) radius of a circle
(v) square.

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

(i) Why is Axiom 5, in the list of Euclid's axioms, considered a 'universal truth'?  (Note that the question is not about the fifth postulate).
(ii) How would you rewrite Eulid's fifth postulate so that it would be easier to understand?

Solve the equation x -15 = 25 and state Euclid's Axiom used here.

In the given figure, if AB = CD, then prove that AC = BD. Also, write the Euclid's Axiom used for proving it.

In the given figure, it is given that \(\angle \)1 = \(\angle \)4 and \(\angle \)3 = \(\angle \)2. By which Euclid's axiom, it can be shown that if \(\angle \)2 = \(\angle \)4, then \(\angle \)1 = \(\angle \)3.