Write whether the following statements are True or False? Justify your answer: If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.

Since, it is one of the Euclid’s axioms.

Write whether the following statements are True or False? Justify…

State whether the given statement is true of false. The sum of two rational numbers is rational.

→

Write the truth value $(T/F)$ of the following with suitable reasons:
A circle has only finite number of equal chords.

→

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

→

There are infinitely many number of lines which passes through the two distinct points.

→

State whether the given statement is true of false. The sum of two irrational numbers is irrational.

→

Every natural number is a whole number.

→

Answer whether the following statements are true or false? Give reasons in support of your answer. Every whole number is a natural number.

→

Every point on the number line is of the form$\sqrt m$, where $m$ is a natural number.

→

Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.

→

Write True or False in the following. Give reasons for your answer: An angle of $52.5^\circ $ can be constructed.

→