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Standard X

Mathematics

Division of a Line Segment

Steps to divi...

Question

Steps to divide a line segment AB in the given ratio m : n by drawing alternated angles is given. Choose the correct order.
1.Draw any ray AX making acute angle with AB and ray BY such that $∠ B A X = ∠ A B Y$ .
2.Locate the points $A_{1}, A_{2}, A_{3} . . . A_{m}$ on AX and $B_{1}, B_{2}, B_{3} . . . B_{n}$ on BY such that $A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}$
3.Draw a ray BY parallel to AX by making $∠ A B Y = ∠ B A X$
4.Join $A_{m} B_{n}$ .

1,2,3,4

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1,3,2,4

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2,1,3,4

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2,3,1,4

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Solution

The correct option is B 1,3,2,4
Steps to divide a line segment AB in the given ratio m:n by corresponding angles method is given. Choose the correct order.
1.Draw any ray AX making acuter angle with AB.
2Draw a ray BY parallel to AX by making $∠ A B Y = ∠ B A X$
3..Locate the points $A_{1}, A_{2}, A_{3} . . . A_{m}$ on AX and $B_{1}, B_{2}, B_{3} . . . B_{n}$ on BY such that $A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}$
4.Join $A_{m} B_{n}$ . Let it intersect AB at point C.
Then we get,

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Similar questions

Q. Steps to divide a line segment AB in the given ratio m : n by drawing alternated angles is given. Choose the correct order.
1.Draw any ray AX making acute angle with AB and ray BY such that

∠ B A X = ∠ A B Y

.
2.Locate the points

A_{1}, A_{2}, A_{3} . . . A_{m}

on AX and

B_{1}, B_{2}, B_{3} . . . B_{n}

on BY such that

A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}

3.Draw a ray BY parallel to AX by making

∠ A B Y = ∠ B A X

4.Join

A_{m} B_{n}

Q. In the given image, segment AB has been divided in the ratio 3:2. This is done by
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∠ A B Y = ∠ B A X

3. Locate the points

A_{1}, A_{2}, A_{3} . . . A_{3}

on AX and

B_{1}, B_{2}

on BY such that

A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}

4. Join

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by using which of the properties of parallel lines?

Q. In the given image, segment AB has been divided in the ratio 3:2. This is done by
1. Draw any ray AX making acute angle with AB.
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∠ A B Y = ∠ B A X

3. Locate the points

A_{1}, A_{2}, A_{3} . . . A_{3}

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4.Draw a line parallel to

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