A point C lies between two points A and B such that AC = BC, then AC=1/2AB . Point C is called a midpoint of line segment AB. Prove that every line segment has one and only one midpoint.

Prove that there is only one triple point.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisect each other.

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.

Fill ups A line segment has…………end points.

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

In the fig. l||m and O is the mid point of the line segment. Prove that O is also the mid point of any line segment CD having its end points on l and m respectively