When constructing the perpendicular bisector, is it necessary to have the same radius. Class 7

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Maths Class 7 Maths 132 views Jun 12, 2026 Reviewed & updated Sep 17, 2026
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When constructing the perpendicular bisector, is it necessary to have the same radius. Class 7

Question 1.

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. Class 7

[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.]

Solution:

Yes. Do as directed.

Question 2.

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. Class 7

Solution:

Yes, for getting the second point.

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