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

The following statements are true (T) and which are false (F)? Give reasons.
Two lines perpendicular to the same line are perpendicular to each other.

In a triangle, the sides are given as 11cm, 12cm and 13cm. The length of the altitude is 10.25cm corresponding to the side having length 12cm.

The following statements are true (T) and which are false (F)?
If angles forming a linear pair are equal, then each of these angles is of measure 90°.

The following statements are true?
Two lines may intersect at two points.

Difference of any two sides of a triangle is equal to the third side.

A triangle can have two right angles.

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

The coordinates of points in the table.

x	0	1	2	3	4
y	2	3	4	-5	6

represent some of the solutions of the equation x – y + 2 = 0.

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.

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