Constructions Test - 2

The sum of all the angles of a triangle is:

The exterior angle of a triangle is equal to___:

What would be the distance between the point of intersection of the two tangents and the centre of the circle, if a circle of radius 6 cm is constructed from which two tangents are arise which are inclined at an angle of 60^o.

To divide a line segment AB in the ratio 3 : 7, first a ray AX is drawn so that angle BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is

To divide a line segment AB in the ratio 4 : 5, a ray AX is drawn first such that angle BAX is an acute angle and then points A₁, A₂, A₃,…. are located at equal distances on the ray AX and the point B is joined to:

To divide a line segment AB in the ratio 4 : 5, draw a ray AX such that angle BAX is an acute angle, then draw a ray BY parallel to AX and the points A₁, A₂, A₃, and B_1, B₂, B₃.... are located at equal distances n ray AX and BY, respectively. Then the points joined are:

To construct a triangle similar to a given ΔABC with its sides 2/5 of the corresponding sides of ΔABC, 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, B₂, B₃,..... on BX at equal distances and next step is to join:

To construct a triangle similar to a given ΔABC with its sides 5/3 of the corresponding sides of ΔABC 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

To draw a pair of tangents to circle which are inclined to each other at an angle of 30°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be :

If two tangents are drawn at the end points of two radii of a circle which are inclined at 130^o to each other, then the pair of tangents will be inclined to each other at an angle of: