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Standard VI

Mathematics

Construction of Perpendicular Bisector of a Line Segment(Using Compass)

Given AB of l...

Question

Given of length 7.3 cm and of length 3.4 cm, construct a line segment such that the length of is equal to the difference between the lengths of and. Verify by measurement.

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Solution

(1) Given that, =7.3 cm and = 3.4 cm

(2) Adjust the compasses up to the length of CD and put the pointer of the compasses at A. Draw an arc to cut AB at P.

(3) Adjust the compasses up to the length of PB. Now draw a line l and mark a point X on it.

(4) Now, putting the pointer of compasses at point X, draw an arc to cut the line at Y.

is the required line segment.

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Similar questions

Given $¯ ¯¯¯¯¯¯ ¯ A B$ of length $7.3 c m$ and $¯ ¯¯¯¯¯¯¯ ¯ C D$ of length $3.4 c m$ , construct a line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y$ such that the length of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ is equal to the difference between the lengths of $¯ ¯¯¯¯¯¯ ¯ A B$ and $¯ ¯¯¯¯¯¯¯ ¯ C D$ . Verify by measurement

Q. A line segment

¯ ¯¯¯¯¯¯ ¯ A B = 4.6 c m

Another

¯ ¯¯¯¯¯¯¯ ¯ C D = 3.8 c m

. Then measure of the line segments whose length is equal to the difference of

¯ ¯¯¯¯¯¯ ¯ A B a n d ¯ ¯¯¯¯¯¯¯ ¯ C D

Q. Given

¯ ¯¯¯¯¯¯ ¯ A B

of length 3.9 cm, construct

¯ ¯¯¯¯¯¯ ¯ P Q

such that the length

¯ ¯¯¯¯¯¯ ¯ P Q

is twice that of AB . Verify by measurement.

(Hint: Construct

¯ ¯¯¯¯¯¯¯ ¯ P X

such that length of

¯ ¯¯¯¯¯¯¯ ¯ P X

= length of

¯ ¯¯¯¯¯¯ ¯ A B

;
then cut off

¯ ¯¯¯¯¯¯¯ ¯ X Q

such that

¯ ¯¯¯¯¯¯¯ ¯ X Q

also has the length of

¯ ¯¯¯¯¯¯ ¯ A B

Question 4

Given $¯ ¯¯¯¯¯¯ ¯ A B$ of length 3.9 cm, construct $¯ ¯¯¯¯¯¯ ¯ P Q$ such that the length $¯ ¯¯¯¯¯¯ ¯ P Q$ is twice that of AB . Verify by measurement.

(Hint: Construct $¯ ¯¯¯¯¯¯¯ ¯ P X$ such that length of $¯ ¯¯¯¯¯¯¯ ¯ P X$ = length of $¯ ¯¯¯¯¯¯ ¯ A B$ ;
then cut off $¯ ¯¯¯¯¯¯¯ ¯ X Q$ such that $¯ ¯¯¯¯¯¯¯ ¯ X Q$ also has the length of $¯ ¯¯¯¯¯¯ ¯ A B$ .)

Q. The difference between the lengths of two line segments

A B

and

C D

given in the following figure is

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