The ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle is known as their ____________

The sum of all the angles of a triangle is________________

A pair of tangents drawn through a point outside the circle are always ............................. in length.

In figure, \(\angle ADE\)  is constructed similar to, \(\triangle ABC\) write down the scale factor.

Give three sides such that construction of a triangle is possible.

At least three parts are sufficient for construction of a triangle.

In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.

Two tangents can be drawn to a circle through a point outside the circle.

In all geometrical constructions only two geometrical instruments viz. graduated ruler and compasses are required.

A tangent line meets the circle only in one point

To draw a pair of tangents to a circle which are inclined to each other at an angle of 60° , it is required to draw tangents at end points of those two radii of the circle, then find the angle between them.

To construct a triangle similar to a given \(\Delta ABC\) with its sides \(\frac{3}{7}\) 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 B₁, B_2, B₃,......... on BX at equal distance and then which points are joined in the next step.

Given a triangle with side AB = 8 cm. To get a line segment AB^' = \(\frac{3}{4}\) of AB, find the ratio in which line segment AB is divided.

To divide a line segment PQ in the ratio 2 : 7 first a ray PX is drawn so that angle \(\angle\)QPX is an acute angle then find the minimum number of such points marked at equal distances on the ray PX.

To divide a line segment LM in the ratio a : b, where a and b are positive integer, draw a ray LX so that angle \(\angle\)MLX is an acute angle, then find the minimum number of such points marked at equal distances on the ray LX.

Construct a triangle with sides 5 cm, 6 cm, and 7cm and then another triangle whose sides are \(7\over 5\) of the corresponding sides of the first triangle

Draw a triangle ABC with sides BC = 6 cm, AB = 5 cm and (Then construct a triangle whose sides are \({3\over 2}\) of the corresponding sides of the triangle ABC.

Construct a triangle ABC in which  \(AB=5\ cm, BC=6\ cm\) and \(AC=7cm.\) Construct another triangle similar to \(\triangle ABC\) such that its sides are \(3\over 5\) of the corresponding sides of \(\triangle ABC\).

Construct a \(\triangle ABC\) in which BC = 9 cm,  and \(AB=6cm.\) Then construct another triangle whose sides are \(2\over 3\) of the corresponding sides of \(\triangle ABC\).

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then construct another triangle whose sides are \(3\over 4\) times the corresponding sides of the isosceles triangle.

Draw a triangle with sides 5 cm, 6 cm and 7 cm. Then draw another triangle whose sides are \(\frac { 4 }{ 5 } \) of the corresponding sides of first triangle.

Construct a right triangle in which the sides, (other than the hypotenuse) are of length 6 cm and 8 cm . Then construct another triangle, whose sides are \(\frac { 3 }{ 5 } \) times the corresponding sides of the given triangle.

Construct a pair of tangents PQ and PR to a circle of radius 4 cm from a point P outside the circle 8 cm away from the centre. Measure PQ and PR.

Draw a \(\triangle\)ABC with BC = 7 cm, \(\angle B=45°\)  and \(\angle C=60°\). Then, construct another triangle, whose sides are \(\frac { 3 }{ 5 } \)  times of the corresponding sides of \(\Delta ABC\) and justify your construction.

Draw a right-angled triangle, in which the sides (other than the hypotenuse) are lengths 8 cm and 6 cm. Then, construct another triangle, whose sides are \(\frac { 3 }{ 4 } \)  times of the corresponding sides of  given triangle. Justify your construction.