State whether the following statements are true (T) or false (F):

(i) The line segment $\overline{AB}$ is the shortest route from A to B.

(ii) A line cannot be drawn wholly on a sheet of paper.

(iii) A line segment is made of infinite (uncountable) number of points.

(iv) Two lines in a plane always intersect.

(v) Through a given point only one line can be drawn.

(vi) Two different lines can be drawn passing through two distinct points.

(vii) Every simple closed curve is a polygon.

(viii) Every polygon has atleast three sides.

(ix) A vertex of a quadrilateral lies in its interior.

(x) A line segment with its end-points lying on a circle is called a diameter of the circle.

(xi) Diameter is the longest chord of the circle.

(xii) The end-points of a diameter of a circle divide the circle into two parts; each part is called a semicircle.

(xiii) A diameter of a circle divides the circular region into two parts; each part is called a semicircular region.

(xiv) The diameters of a circle are concurrent. The centre of the circle is the point common to all diameters.

(xv) Every circle has unique centre and it lies inside the circle.

(xvi) Every circle has unique diameter.

Which of the following has no end points?

1. a line

2. a ray

3. a line segment

4. none of these

The number of points required to name a line is

1. 1

2. 2

3. 3

4. 4

The number of lines that can be drawn through a given point is

1. 1

2. 2

3. 3

4. infinitely many