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.

a, b, c

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c, a, b

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b, c, a

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b, a, c

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Solution

The correct option is C
b, c, a

Correct sequence is b, c, a

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.

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

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

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Similar questions

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.

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. To construct a trapezium ABCD with

A B ∥ C D,

AB = 8 cm, BC = 5 cm, AD = 6 cm and

∠ A B C = 60^{\circ},

we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle

∠ A B X = 60^{\circ}

at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.

Q. Steps for the construction of perpendicular at a given point P in a line segment AB is given below. Choose the correct order

1. With radius more than half of XY and X as centre draw an arc above AB
2. Using a scale and a pencil, join PQ. Now PQ is perpendicular to AB.
3. Draw a straight line AB and mark point P on it
4. With P as the centre, draw two arcs with a suitable radius which cut AB at X and Y such that P lies in between X and Y
5. Draw another arc that cuts the previous arc with centre at Y and with same radius as in previous step. Name the point of intersection as Q.

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 in X and Y as shown. Join XY

These 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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