To draw a perpendicular bisector of segment AB, we take A and B as the centers, and radius more than half of length AB to draw arcs to locate the perpendicular bisector. What will happen if we take less than half of the segment as the radius?

It will not make any difference.

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The line formed by joining the points of intersection of the two arcs will be perpendicular, but not bisector.

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The arcs drawn will not intersect at all; hence, the perpendicular bisector cannot be drawn.

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The arcs drawn will intersect such that they will not form a perpendicular bisector.

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Solution

The correct option is C The arcs drawn will not intersect at all; hence, the perpendicular bisector cannot be drawn.
Since the radius of the arc is less than half of the line segment AB, the two arcs will not meet each other.
So, option B is the right option.

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Similar questions

Write correct sequence of the following steps to draw perpendicular bisector of a line AB.

a. Join XY to cut AB at O. XY is called the perpendicular bisector of AB.

b. To construct the perpendicular bisector of the line segment AB, we first take A and

then B as centre and radius greater than half of AB.

c. Draw arcs above and below AB such that the arcs cut each other at X and Y.

Q. To construct perpendicular bisector to a line segment AB =10 cm, we have to draw an arc of radius

Q. Steps for the construction of perpendicular bisector PQ to a line segment AB of given length is given below. Choose the correct order.
1.With B as the centre and the same radius as in previous step, draw two arcs to intersect the arcs drawn in previous step. Name the point of intersection of the arcs as P and Q
2.Draw a line segment AB of given length using a scale.
3.Join P and Q.
4.With A as the centre and radius more than half of AB, draw two arcs (using compases) above & below AB

Q. What is likely to happen if during constructing perpendicular to a given line segment AB, the first choice of arc radius is not taken more than half of AB?

AB is a line segment. With A and B as centres and any radius greater than half of AB, draw arcs on either side of AB so that they meet at X and Y as shown. Join XY

There are the two statements:
Statement 1: AB is the perpendicular bisector of XY
Statement 2: XY is the perpendicular bisector of AB
Choose the correct option from below.

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To draw a perpendicular bisector of segment AB, we take A and B as the centers, and radius more than half of length AB to draw arcs to locate the perpendicular bisector. What will happen if we take less than half of the segment as the radius?

The correct option is C The arcs drawn will not intersect at all; hence, the perpendicular bisector cannot be drawn. Since the radius of the arc is less than half of the line segment AB, the two arcs will not meet each other. So, option B is the right option.

The correct option is C The arcs drawn will not intersect at all; hence, the perpendicular bisector cannot be drawn.
Since the radius of the arc is less than half of the line segment AB, the two arcs will not meet each other.
So, option B is the right option.