NCERT Solutions Ganita Prakash (Part 2) Chapter 6 Figure it Out

When constructing the perpendicular bisector, is it necessary to have the same radius for the arcs above and below XY? Explore this through construction, and then justify your answer. [Hint 1: Any point that is of the same distance from X and Y lies on the perpendicular bisector. Hint 2: We can draw the whole line if any two of its points are known.]

Is it necessary to construct the pairs of arcs above and below XY? Instead, can we construct both the pairs of arcs on the same side of XY? Explore this through construction, and then justify your answer.

While constructing one pair of intersecting arcs, is it necessary that we use the same radii for both of them ? Explore this through construction, and then justify your answer.

Recreate this design using only a ruler and compass — This method of constructing the perpendicular bisector is not only geometrically exact but also a practical way to construct it accurately. This method to find the midpoint of a line segment is more accurate than measuring the length using a marked scale.