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discolldiane3708
26.07.2019 •
Mathematics
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?
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Ответ:
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:
Circle n is given as:
circle n: center (0, 10) and radius 15
That means that the equation of circle n is:
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.
Ответ:
2(x+6)-11=6(x/2)+16
This is the equation, when not simplified