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 - ABC on the opposite side of vertex C- II- Locate 3 points A1- A2- A3 on line AX such that A A1-A1 A2-A2 A3 - Join B A3 - III- Drow a line through A 2 parallel to BA 3 to intersect AB at point B - - Drow a line through B- parallel to the line BC to intersect AC at C - -Then- - AB - C - and - ABC areA- None Of The AboveB- SimilarC- CongruentD- Equal In Area

The correct option is B Similar ...

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Standard X

Mathematics

Incenter and Construction of Incircle in a Triangle

The figure gi...

Question

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

Similar

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Congruent

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Equal In Area

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None Of The Above

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Solution

The correct option is A
Similar

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Similar questions

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.

Q. A triangle similar to given

Δ A B C

with sides equal to

\frac{3}{4}

of the sides of

Δ A B C

is to be constructed as the given image. Arrange the following steps of construction in order:

1. Join

B_{4} C

and raw a line through

B_{3}

( the third point, 3 being smaller of 4 in

\frac{3}{4}

) parallel to

B_{4} C

to intersect BC at C'.

2. Draw any ray BX making an acute angle with BC on the side opposite to the vertex A.

3. Locate 4(the greater of 3 and 4 in

\frac{3}{4}

) points

B_{1}, B_{2}, B_{3} and B_{4}

on BX so that

B B_{1} = B_{1} B_{2} = B_{2} B_{3} = B_{3} B_{4}

4. Draw a line through C' parallel to the line CA to intersect BA at A'.

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?

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. A triangle ABC with sides BC =7cm,

∠ B = 45^{\circ}, ∠ A = 105^{\circ}

is given. The image of constructing a similar triangle of

Δ A B C

whose sides are

\frac{3}{4}

times the corresponding sides of the

Δ A B C

is given below. Arrange the steps of construction in the correct order.

1.Draw any ray BX making an acute angle with BC on the side opposite to the vertex A.

2.Join

B_{4} C

and raw a line through

B_{3}

( the third point, 3 being smaller of 4 in

\frac{3}{4}

) parallel to

B_{4} C

to intersect BC at C'.

3.Draw a line through C' parallel to the line CA to intersect BA at A'.

4.Locate 4(the greater of 3 and 4 in

\frac{3}{4}

) points

B_{1}, B_{2}, B_{3} and B_{4}

on BX so that

B B_{1} = B_{1} B_{2} = B_{2} B_{3} = B_{3} B_{4}

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The correct option is A Similar

The correct option is A
Similar