Introduction to Euclid’s Geometry — MATHS STD 9 — Question

If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it.

State whether the given statement is true of false.
The product of a nonzero rational number and an irrational number is a rational number.

State whether the given statement is true of false.
The product of two irrational number is irrational.

Which of the following statements are true (T) and which are false (F)?
If three angles of a quadrilateral are equal, it is a parallelogram.

The following statements are true (T) and which are false (F)? Give reasons.
If two lines are intersected by a transversal, then corresponding angles are equal.

The following statements are true and which are false?
Sum of the three sides of a triangle is less than the sum of its three altitudes.

In a right circular cone, height, radius and slant height do not always be sides of a right triangle.

Write True or False and justify your answer in the following:
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.

The following statements are true (T) and which are false (F):
Sum of the three angles of a triangle is 180°.