The figure given below have been constructed by following the steps given below- I- Draw line segment AB of length 16-9 cm and draw a ray AX making an acute angle with line segment AB- II- Mark points Alf A2- A3- A4- - - A13- on A X such that A A1-A1 A2-A2 A3 andSO ON-III- Join BA 13- Through the point A 5- draw a line parallel to BA 13 intersecting AB at point C-The length of AC isA- 12 cmB- 10-5 cmC- 6-5 cmD- 10-4 cm

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Byju's Answer

Standard X

Mathematics

Bisecting a Line Segment

The figure gi...

Question

The figure given below have been constructed by following the steps given below.

I: Draw line segment AB of length 16.9 cm and draw a ray AX making an acute angle with line segment AB.

II: Mark points Alf A₂, A₃, A₄........A₁₃, on AX such that AA₁ = A₁A₂ = A₂A₃ and

so on.

III: Join BA₁₃. Through the point A₅, draw a line parallel to BA₁₃ intersecting AB at point C.

12 cm

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10.5 cm

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6.5 cm

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10.4 cm

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Solution

The correct option is C
6.5 cm

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Similar questions

The figure given below has been constructed by following the steps given below.

I: Draw aray AX making an acute angle with a given side AB of ΔABC on the opposite side of vertex C.

II: Locate 3 points A₁, A₂, A₃ on line AX such that AA₁ = A₁A₂ = A₂A₃. Join BA₃.

III: Drow a line through A₂parallel to BA₃ to intersect AB at point B'. Drow a line through B' parallel to the line BC to intersect AC at C'.

Then, ΔAB'C' and ΔABC are

Q. The image of dividing line segment AB of length 12cm into 8cm and 4cm is given below.

Arrange the steps of construction in the correct order.
1. Mark three points on AX such that

A A_{1} = A_{1} A_{2} = A_{2} A_{3}

2.Draw an acute angle

∠ B A X

3.Join

A_{3}

to B.
4.Draw

A_{2} C

parallel to

A_{3} B

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

.
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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

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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.
2. Draw 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_{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

A_{3} B_{2}

by using which of the properties of parallel lines?

Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Arrange the steps in correct sequential order.

Step I: After that, a ray BY is drawn parallel to AX making equal acute angle as in the previous step.
Step II: AB = 7.6 cm is drawn.
Step III: A ray AX making an acute angle with AB is drawn.
Step IV: A5 and B8 is joined and it intersected AB at point C diving it in the ratio 5:8.
AC : CB = 5 : 8
Step V: Point A1, A2, A3, A4 and A5 is marked on AX and point B1, B2.... to B8 is marked on BY such that AA1 = A1A2 = A2A3=....A4A5
BB1= B1B2 = .... B7B8

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The correct option is C 6.5 cm

The correct option is C
6.5 cm