Constructions T...

To construct a triangle similar to a given ABC with its sides $$\cfrac{3}{7}$$ of the corresponding sides of $$\Delta$$ ABC, first draw a ray BX such that $$\angle$$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

To draw a pair of tangents to a circle which are inclined to each other at an angle $$\displaystyle { 35 }^{ \circ  }$$, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is

Draw a right triangle ABC in which $$BC=12\text{ cm}$$ cm, $$AB= 5\text{ cm}$$ cm and $$\angle B = 90^\circ.$$ Construct a triangle similar to it and of scale factor $$\dfrac{2}{3}$$. Is the new triangle also a right triangle?

To construct a triangle similar to a given $$\triangle ABC$$ with its sides $${8}/{5}$$ of the corresponding sides of $$\triangle ABC$$ draw a ray $$BX$$ 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

To construct a triangle similar to a given $$\triangle$$ ABC with its sides $$\dfrac{8}{5}$$ of the corresponding sides of $$\triangle ABC$$, draw a ray $$BX$$, 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:

Draw a parallelogram $$ABCD$$ in which $$BC$$ $$=$$ $$5$$ cm, $$AB$$ $$=$$ $$3$$ cm and $$\angle ABC =60^{0}$$. divide it into triangles $$BCD$$ and $$ABD$$ by the diagonal $$BD$$. Construct the triangle $$BD' C'$$ similar to $$BDC$$ with scale factor $$\dfrac{4}{3}$$. Draw the line segment $$D'A'$$ parallel to $$DA$$, where $$A'$$ lies on extended side $$BA$$. Is $$A'BC'D'$$ a parallelogram?

In the construction of triangle similar and larger to a given triangle as per given scale factor m : n, the construction is possible only when :

Which is $$2^{nd}$$ step?

To construct a triangle similar to given $$\triangle ABC$$ with its sides $$\dfrac23$$ of that of $$\displaystyle \Delta ABC$$, locate points on ray $$BX$$ at equal distances as $$\displaystyle { B }_{ 1 },{ B }_{ 2 },{ B }_{ 3 },....$$ such that $$\displaystyle \angle CBX$$ is acute. The points to be joined in the next step are: