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Byju's Answer

Standard VIII

Mathematics

Construction of Parallel Lines

A line segmen...

Question

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 $¯ ¯¯¯¯¯¯ ¯ A B a n d ¯ ¯¯¯¯¯¯¯ ¯ C D$

1.8 c m

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2.8 c m

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0.8 c m

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8.4 c m

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Solution

The correct option is C $0.8 c m$
Given $¯ ¯¯¯¯¯¯ ¯ A B = 4.6 c m ¯ ¯¯¯¯¯¯¯ ¯ C D = 3.8 c m$

$∴ ¯ ¯¯¯¯¯¯ ¯ A B - ¯ ¯¯¯¯¯¯¯ ¯ C D = 4.6 - 3.8 = 0.8 c m$

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Similar questions

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.

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. Line segment

A B

is parallel to another line-segment

C D

O

is the midpoint of

A D

.Show that

△ A O B ≅ △ D O C

Q. Line segment AB is congruent to line segment CD. If the length of AB = 5m, what is the length of CD?

Steps for constructing a line segment whose length is equal to the difference of the lengths of the two given line segments are:

(i) Now draw a line L.

(ii) Take two line segments AB and CD.

(iii) With P as a centre cut a length PZ equal to AB.

(iv) SZ is the required line Segment.

(v) Mark point P on the line L.

(vi) Now from P cut a length PS equal to CD.

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A line segment ¯¯¯¯¯¯¯¯AB=4.6cm Another ¯¯¯¯¯¯¯¯¯CD=3.8cm. Then measure of the line segments whose length is equal to the difference of ¯¯¯¯¯¯¯¯ABand¯¯¯¯¯¯¯¯¯CD

The correct option is C 0.8cmGiven ¯¯¯¯¯¯¯¯AB=4.6cm¯¯¯¯¯¯¯¯¯CD=3.8cm∴¯¯¯¯¯¯¯¯AB−¯¯¯¯¯¯¯¯¯CD=4.6−3.8=0.8cm

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 $¯ ¯¯¯¯¯¯ ¯ A B a n d ¯ ¯¯¯¯¯¯¯ ¯ C D$

The correct option is C $0.8 c m$
Given $¯ ¯¯¯¯¯¯ ¯ A B = 4.6 c m ¯ ¯¯¯¯¯¯¯ ¯ C D = 3.8 c m$

$∴ ¯ ¯¯¯¯¯¯ ¯ A B - ¯ ¯¯¯¯¯¯¯ ¯ C D = 4.6 - 3.8 = 0.8 c m$