Which transformations can be used to show that circle m is similar to circle n? circle m: center (−1, 10) and radius 3 circle n: center (0, 10) and radius 15 select each correct answer. circle n is a dilation of circle m with a scale factor of 5. circle m and circle n are congruent. circle n is a translation of circle m, 1 unit right. circle m is a dilation of circle n with a scale factor of 12?

Answer:The correct statements that is used to show that circle m is similar to circle n is:circle n is a dilation of circle m with a scale factor of 5.circle n is a translation of circle m, 1 unit right.Step-by-step explanation:We know that two circles are said to be similar if by using some  translation and some dilation it could be mapped to the other.Circle m is given as:circle m: center (−1, 10) and radius 3 That means the equation of circle m is:[tex](x+1)^2+(y-10)^2=3^2[/tex]Circle n is given as:circle n: center (0, 10) and radius 15That means that the equation of circle n is: [tex](x)^2+(y-10)^2=15^2[/tex]1)circle n is a dilation of circle m with a scale factor of 5.This option is correct.Since, the radius of circle n is 5 times the radius of circle m.2) circle m and circle n are congruent. This option is incorrect.Since, the radius of both the circles are unequal and hence they can't be congruent.3)circle n is a translation of circle m, 1 unit right. This option is correct.Since, the center of circle m is: (-1,10)and center of circle n is: (0,10)That means m is to be shifted one unit to the right.4)circle m is a dilation of circle n with a scale factor of 12.This option is incorrect.Since circle m is a circle with smaller radius hence it can't be a dilation of circle n with scale factor greater than one.