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Construction of a Similar Triangle, When One Vertex Is Common

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Question

To construct a triangle similar to a given triangle with a scale factor $\frac{3}{5}$ , 8 points are to be marked on a ray drawn at an acute angle to one of the sides.

A

TRUE

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B

FALSE

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Solution

The correct option is B FALSE
False. To construct a triangle similar to a given triangle with a scale factor $\frac{3}{5}$ , 5 points are to be marked on a ray drawn at an acute angle to one of the sides.
The number of points that should be marked on the ray will be the maximum of numerator and denominator in the scale factor.

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Similar questions

Q. Enter the number of points that are to be marked on a ray drawn at an acute angle to one of its sides, to construct a triangle similar to a given triangle with a scale factor

\frac{3}{5}

.

Q. To construct a triangle similar to given

Δ A B C

with sides equal to

\frac{7}{5}

of the sides of

Δ A B C

B X

is drawn such that

∠ C B X

is acute angle and

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

are marked at equal distances on

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. The points to be joined in the next step are:

To construct a triangle similar to given

Δ A B C

\frac{3}{5}

Δ A B C

B X

is drawn at acute angle with

B C

. How many minimum no. of points should be marked on

B X

Q. To construct a triangle similar to a given

△

ABC with its sides

\frac{8}{5}

of the corresponding sides of

△ A B C

B X

∠ C B X

is an acute angle and

X

is on the opposite side of

A

with respect to

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Q. To construct a triangle similar to a given ∆ABC with its side 8/5 of the corresponding side of ∆ABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is
(a) 5
(b) 8
(c) 13
(d) 3

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