(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 Mix Examples - Constructions

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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Mix Examples - Constructions

Draw $\odot(P, 3\, cm)$ and take a point $R$ in its exterior such that $PR = 6\, cm$. Draw two tangents to $\odot(P, 3\, cm)$ from $R$. Write the steps of construction.

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Draw an isosceles triangle $ABC$ in which $AB = AC = 6 \, cm$ and $BC = 5 \, cm$. Construct a triangle $PQR$ similar to $ABC$ in which $PQ = 8 \, cm$. Also,justify the construction.

Difficult

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Draw a line segment $\overline{XY}$ of length $7.5\, cm$ and divide it in the ratio $3:4:5$ starting from $X$. Write the steps of construction.

Medium

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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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State whether the following statement is True or False and provide a reason for your answer:
$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.

Easy

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Draw $\odot(P, 3\, cm)$ and take a point $R$ in its exterior such that $PR = 6\, cm$. Draw two tangents to $\odot(P, 3\, cm)$ from $R$. Write the steps of construction.

Draw an isosceles triangle $ABC$ in which $AB = AC = 6 \, cm$ and $BC = 5 \, cm$. Construct a triangle $PQR$ similar to $ABC$ in which $PQ = 8 \, cm$. Also,justify the construction.

Draw a line segment $\overline{XY}$ of length $7.5\, cm$ and divide it in the ratio $3:4:5$ starting from $X$. Write the steps of construction.

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.

State whether the following statement is True or False and provide a reason for your answer:$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.

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State whether the following statement is True or False and provide a reason for your answer:
$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.