Given AB of length 8.5 cm and CD of length 5.6 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.

Open in App

Solution

Steps of construction:

Draw a straight line segment AB of length 8.5 cm and line segment CD of length 5.6 cm with the help of a ruler.

Place the compass on the line segment CD to set it for the length 5.6 cm of the segment CD.

Put the pointy end of the compass at one end (say A) of the line segment AB and cut an arc with the help of the other end with a pencil without changing the spread of the compass.

Name the point where the arc cuts the line segment AB (say M)

Now draw another line segment with the help of a ruler.

Name one end of this new line segment as X.

Place the compass on the line segment MB to set it for the length of MB.

Put the pointy end of the compass at point X of the new line segment and cut an arc with the help of the other end with pencil without changing the spread of the compass.

Name the point where the arc cuts the line segment as Y.

Name the point where the arc cuts the line segment as Y.

This is the desired line segment XY.

We can verify the length of XY by measuring it with the ruler.

Suggest Corrections

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. Construct a line segment AB such that l(AB) = l(PQ) – l(RS). Verify by measuring. Given: Line segment PQ of length 7.5 cm and RS of length 3.5 cm.

Given $\bar{A B}$ $= 7.2 c m$ and $\bar{C D}$ $= 2.9 c m$ Construct a line segment whose length is equal to $\bar{A B}$ $-$ $2$ $\bar{C D}$

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. 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

Join BYJU'S Learning Program