NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Problems and Solutions

Question 44

Idea: A mid-point divides a line segment into two equal parts.

1. Side \(AC\):

   Tick marks at point \(X\) show the two parts are equal.

   Write in small steps:

   \(AX\) and \(XC\) are the two parts.

   \(AX = XC\).

   So, \(X\) is the mid-point of \(AC\).

2. Side \(CB\):

   Tick marks at point \(Y\) show equality of the two parts.

   \(CY\) and \(YB\) are the two parts.

   \(CY = YB\).

   So, \(Y\) is the mid-point of \(CB\).

3. Side \(AB\):

   Tick marks at point \(Z\) show equality of the two parts.

   \(AZ\) and \(ZB\) are the two parts.

   \(AZ = ZB\).

   So, \(Z\) is the mid-point of \(AB\).

Conclusion: Mid-points are \(X\) on \(AC\), \(Y\) on \(CB\), and \(Z\) on \(AB\).