In each of the following, state if the statement is true (T) or false (F). A triangle has three sides A triangle may have four vertices. Any three line-segment make up a triangle The interior of a triangle includes its vertices. The triangular region includes the vertices of the corresponding triangle. The vertices of a triangle are three collinear points. An equilateral triangle is scalene. Every right triangle is scalene. Each acute triangle is equilateral. No isosceles triangle is obtuse.

In each of the following, state if the statement is true (T) or false (F): (i) A triangle has three sides. (ii) A triangle may have four vertices. (iii) Any three line-segments make up a triangle. (iv) The interior of a triangle includes its vertices. (v) The triangular region includes the vertices of the corresponding triangle. (vi) The vertices of a triangle are three collinear points. (vii) An equilateral triangle is isosceles also. (viii) Every right triangle is scalene. (ix) Each acute triangle is equilateral. (x) No isosceles triangle is obtuse.

State which of the following statement are true and which are false: (i) A scalene triangle has three lines of symmetry.

State which of the following statements are true and which are false: A regular triangle has three lines of symmetry .

If the coordinates of vertices of a triangle is always rational then the triangle cannot be

If the vertices of a triangle having integral coordinates . Prove that triangle can't be equileteral .

State which of the following statements are true and which are false : Every equilateral triangle is an isosceles triangle .

State which of the following statements are true and which are false : If all the three sides of a triangle are equal, it is called scalene triangle .

An equilateral triangle has three lines of symmetry, an isosceles triangle will have :

If the vertices of a triangle have rational coordinates, then prove that the triangle cannot be equilateral.

If the vertices of a triangle have rational coordinates, then prove that the triangle cannot be equilateral.