Question

Draw the perpendicular bisector of XY whose length is 10.3 cm.

(b) If M is the mid point of XY, what can you say about the lengths MX and XY ?

Answer 1

Step: Draw the perpendicular bisector of XY

Draw a line segment XY = 10.3 cm​

Take X and Y as centres, draw two arcs of the same radius intersecting at C and D.​

Join the points C and D.​

Mark the point of intersection of XY and CD as M. Perpendicular bisector passes through the midpoint. Thus, M is the mid point of XY.

​​

∴ XM = MY (∵ M is the mid point of XY)​

XY = XM + MY ​

= XM + XM​

= 2XM​

= 2MY​

​Hence, XY = 2XM = 2MY