Question

Given line segment AB of length 4.1cm , construct line segment PQ such that length of line segment PQ is
twice that of line segment AB. Verify by measurement.

Answer 1

Constructing a line PQ such that its length is twice of line segment AB.

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:• PQ = QC + CP

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:• PQ = QC + CP= 3.9 + 3.9

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:• PQ = QC + CP= 3.9 + 3.9= AB + AB

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:• PQ = QC + CP= 3.9 + 3.9= AB + AB= 2AB

Constructing a line PQ such that its length is twice of line segment AB.Draw a line segment AB = 3.9 cm.Draw a line 1. Mark a point P on this line. .Measure 3.9 cm from compass and draw an arc on line. Mark this point as C.• From C and with same radius, draw another arc on line 1. Mark this point as Q.• This is the required line PQ.Verification:• PQ = QC + CP= 3.9 + 3.9= AB + AB= 2ABTherefore, PQ is the line with a length twice that of AB.

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