(C) To construct a triangle similar to a given triangle with a scale factor of $\frac{m}{n}$,where $m$ and $n$ are positive integers,the number of poi

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(C) To construct a triangle similar to a given triangle with a scale factor of $\frac{m}{n}$,where $m$ and $n$ are positive integers,the number of points to be marked on the ray $BX$ is equal to the greater of $m$ and $n$.In this problem,the scale factor is $\frac{8}{5}$.Comparing the numerator $m = 8$ and the denominator $n = 5$,the greater value is $8$.Therefore,the minimum number of points to be located at equal distances on ray $BX$ is $8$.

Class 10 Mathematics Constructions Construction of Similar Triangles

Medium

To construct a triangle similar to a given $\triangle ABC$ with its sides being $\frac{8}{5}$ of the corresponding sides of $\triangle ABC$,a ray $BX$ is drawn such that $\angle CBX$ 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
$13$
C
$8$
D
$3$

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Class 10

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Constructions

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Construction of Similar Triangles

Draw $\Delta XYZ$ with $XY = 4\, cm$,$YZ = 6\, cm$,and $XZ = 7\, cm$. Then,construct $\Delta YMN$ similar to $\Delta XYZ$ with a scale factor of $\frac{4}{3}$. Write the steps of construction.

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Draw $\Delta XYZ$ with $XY = YZ = ZX = 6\, cm$. Then construct $\Delta YMN$ similar to $\Delta XYZ$ whose sides have lengths $\frac{5}{4}$ times the lengths of corresponding sides of $\Delta XYZ$. Write the steps of construction.

Difficult

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Construct a triangle with sides $4 \, cm$,$5 \, cm$,and $7 \, cm$. Then,construct a triangle similar to it whose sides have lengths in the ratio $2:3$ to the lengths of the corresponding sides of the first triangle.

Medium

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Draw a triangle $ABC$ with side $BC = 6 \, cm$,$AB = 5 \, cm$ and $\angle ABC = 60^{\circ}$. Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the triangle $ABC$.

Difficult

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Give the justification of the construction also:
Draw a triangle $ABC$ with side $BC = 7 \, cm$,$\angle B = 45^{\circ}$,$\angle A = 105^{\circ}$. Then,construct a triangle whose sides are $\frac{4}{3}$ times the corresponding sides of $\triangle ABC$.

Medium

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Similar Questions

Draw $\Delta XYZ$ with $XY = 4\, cm$,$YZ = 6\, cm$,and $XZ = 7\, cm$. Then,construct $\Delta YMN$ similar to $\Delta XYZ$ with a scale factor of $\frac{4}{3}$. Write the steps of construction.

Draw $\Delta XYZ$ with $XY = YZ = ZX = 6\, cm$. Then construct $\Delta YMN$ similar to $\Delta XYZ$ whose sides have lengths $\frac{5}{4}$ times the lengths of corresponding sides of $\Delta XYZ$. Write the steps of construction.

Construct a triangle with sides $4 \, cm$,$5 \, cm$,and $7 \, cm$. Then,construct a triangle similar to it whose sides have lengths in the ratio $2:3$ to the lengths of the corresponding sides of the first triangle.

Draw a triangle $ABC$ with side $BC = 6 \, cm$,$AB = 5 \, cm$ and $\angle ABC = 60^{\circ}$. Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the triangle $ABC$.

Give the justification of the construction also:Draw a triangle $ABC$ with side $BC = 7 \, cm$,$\angle B = 45^{\circ}$,$\angle A = 105^{\circ}$. Then,construct a triangle whose sides are $\frac{4}{3}$ times the corresponding sides of $\triangle ABC$.

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Give the justification of the construction also:
Draw a triangle $ABC$ with side $BC = 7 \, cm$,$\angle B = 45^{\circ}$,$\angle A = 105^{\circ}$. Then,construct a triangle whose sides are $\frac{4}{3}$ times the corresponding sides of $\triangle ABC$.