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Standard X

Mathematics

Constructing a Similar Triangle with a Scale Factor

To construct ...

Question

To construct a triangle similar to a given ABC with its sides $\frac{3}{7}$ of the corresponding sides of $Δ$ ABC, first draw a ray BX such that $∠$ CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points $B_{1}, B_{2}, B_{3},$ ... on BX at equal distances and next step is to join

B_{10}

to C

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B_{3} t o

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B_{7}

to C

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B_{4}

to C

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Solution

The correct option is C $B_{7}$ to C
To construct the similar $Δ$ with sides $\frac{3}{7}$ of ABC we should divide $B C$ in the ratio $3 : 7$ .
$∴ B X$ need to have $7$ equidistant points on it. because 7 is greater number.
So, the next step is to join $B_{7}$ to $C$

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Similar questions

Q. To construct a triangle similar to a given ∆ABC with its sides 3/7 of the corresponding sides of ∆ABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁, B₂, B₃,.... on BX at equal distances and next step is to join
(a) B₁₀to C
(b) B₃ to C
(c) B₇ to C
(d) B₄to C

Q. Question 4

To construct a triangle similar to a given

Δ

ABC with its sides of

\frac{3}{7}

the corresponding sides of

Δ

ABC , first draw a ray BX such that

∠

CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate point

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

on BX at equal distances and next step is to join
(A)

B_{10}

to C
(B)

B_{3}

to C
(C)

B_{7}

to C
(D)

B_{4}

to C

Q. Question 4

To construct a triangle similar to a given

Δ

ABC with its sides of

\frac{3}{7}

the corresponding sides of

Δ

ABC , first draw a ray BX such that

∠

CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate point

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

on BX at equal distances and next step is to join
(A)

B_{10}

to C
(B)

B_{3}

to C
(C)

B_{7}

to C
(D)

B_{4}

to C

Q. To construct a triangle similar to a given

△ A B C

with its sides

\frac{3}{7}

of the corresponding sides of

△ A B C

, first draw a ray

B X

such that

∠ C B X

is an acute angle and

X

lies on the opposite side of

A

with respect to

B C

. Then locate points

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

B X

at equal distances and next step is to join:

Q. To construct a triangle similar to a given

Δ A B C

with its sides

\frac{7}{4}

of the corresponding sides of

Δ A B C

, first draw a ray BX such that

∠ C B X

is an acute angle and X lies on the opposite side of A with respect to BC. Then, locate points

B_{1}, B_{2}, B_{3}, \dots \dots

on BX at equal distances and next step is to join the points

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To construct a triangle similar to a given ABC with its sides 37 of the corresponding sides of Δ ABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1,B2,B3, ... on BX at equal distances and next step is to join

The correct option is C B7to CTo construct the similar Δ with sides 37 of ABC we should divide BC in the ratio 3:7. ∴BX need to have 7 equidistant points on it. because 7 is greater number.So, the next step is to join B7 to C

The correct option is C $B_{7}$ to C
To construct the similar $Δ$ with sides $\frac{3}{7}$ of ABC we should divide $B C$ in the ratio $3 : 7$ .
$∴ B X$ need to have $7$ equidistant points on it. because 7 is greater number.
So, the next step is to join $B_{7}$ to $C$