Which of the following statements is not true?

Question

Accepted Answer

Option 3 is the correct answer because it states, "A figure formed by three lines is called a triangle." This statement is not true because a triangle is specifically defined as a closed figure formed by three line segments, not just three lines. Three lines can intersect in various ways, and they do not necessarily form a closed figure. For a shape to be a triangle, the three line segments must connect end-to-end to form a closed loop.

Now, let's explain why each of the other options is correct:

1. **Option 1**: "The figure formed by two rays passing through a point is called an angle." This statement is true. An angle is indeed formed when two rays originate from a common endpoint, known as the vertex of the angle.

2. **Option 2**: "A closed figure formed by three line segments is called a triangle." This statement is true. A triangle is defined as a polygon with three edges and three vertices, and it is formed by three line segments that connect end-to-end to enclose a space.

4. **Option 4**: "In a rectangle the length of opposite sides is same and each angle is a right angle." This statement is true. A rectangle is a quadrilateral with opposite sides that are equal in length and all interior angles that are right angles (90 degrees).

In summary, Option 3 is the correct answer because it inaccurately describes a triangle as being formed by three lines, rather than three line segments that form a closed figure. The other options accurately describe geometric concepts.