CONSTRUCTIONS Test

To divide a line segment AB in the ratio 5 : 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 p : q ( p, q are positive integers), draw a ray AX so that \(\angle BAX\) s an acute angle and then mark points on ray AX at equal distances such that the minimum number of these points is :

To construct a triangle similar to given \(\Delta ABC\) with its sides \(\frac{8}{5}\) of the corresponding sides of \(\Delta ABC\), draw a ray BX such that \(\angle CBX\) is an acute angle and X is one 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 divide a line segment AB in the ratio 5 : 6 draw a ray AX such that \(\angle BAX\) is an acute angel, then draw a ray BY parallel to AX and the points A_(1 ,) A_(2 ,) A_(3 ,) … and B_(1 ,) B_(2 ,) B_(3 ,)… are located a equal distances on ray AX and BY, respectively, Then the points joined are :

To construct a triangle similar to 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 \({B_{1,}}{B_{2,}}{B_{3,}}\) on BX equal distance and next step is to join :

To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that \(\angle BAX\) is an acute angle and then points \({A_1},\)\({A_2},\)\({A_3},\)…are located at equal distances on the ray AX and the point B is joined to :

To divide a line segment AB in the ration 2 : 5, 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 such that the minimum number of these points is :

To construct a triangle similar to given \(\Delta ABC\) with its sides \(\frac{3}{7}\) of the corresponding sides of \(\Delta ABC\) 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 divide a line segment PQ in the ratio 2 : 7, first a ray PZ is drawn so that \(\angle QPX\) is an acute angle and then at equal distances points are marked on the ray PX such that the minimum number of these points is :

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

To construct a triangle similar to given \(\Delta ABC\) with its sides \(\frac{7}{4}\) of the corresponding sides of \(\Delta ABC,\) 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 divide a line segment LM in the ratio 4 : 3, a ray LX is drawn firs such that \(\angle MLX\) is an acute angle and then points \({L_1}\), \({L_2}\), \({L_3}\), … are located at equal distances on the ray LX and the points M is joined to :

To construct a triangle similar to given \(\Delta PQR\) with its sides \(\frac{5}{8}\) of the corresponding sides of \(\Delta PQR,\) first a ray PXis drawn such that \(\angle QPX\) is an acute angle and X lies on the opposite side of R with respect to PQ. Then locate points \({P_1}\), \({P_2}\), \({P_3}\)…. OnPX at equal distances and next step is to join :

To divide a line segment AB in the ratio 3 : 7 , draw a ray AX such that \(\angle BAX\) is an acute angle, then draw a ray BY parallel to AX and the points \({A_1},{A_2},{A_3},\) … and \({B_1},{B_2},{B_3},\)… are located at equal distances on ray AX and BY respectively. Then the points joined are :

A divides the line segment PQ in the ratio :