Advertisements
Advertisements
Question
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
If two circles are equal, then their centre and circumference will coincide and hence, the radii will also be equal.
APPEARS IN
RELATED QUESTIONS
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.)
The number of dimension, a point has ______.
The total number of propositions in the Elements are ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
In ancient India, the shapes of altars used for household rituals were ______.
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
