According to these three facts, which statements are true?
Circle M has center (1, 10) and radius 12.
Circle N is a translation of circle M, 1 unit left.
Circle N is a dilation of circle M with a scale factor of 3.

Select each correct answer. (can be more than one)
The radius of circle N is 12.
Circle N and circle M have equal diameters.
The center of circle N is (0, 10).
Circle M and circle N are similar.

Respuesta :

The center of circle N is (0, 10) and Circle M and circle N are similar.

Answer:

The center of circle N is (0, 10).

Circle M and circle N are similar.

Step-by-step explanation:

It is given circle N is translation of circle M 1 unit left .The radius of circle M is (1,10) when it is translated 1 units left the circle N will have the center (0,10).The y value will remain same while the x coordinated is reduced by 1 that is 1-1=0.The center of circle N is (0, 10)

As the circle N is a dilation of circle M by scale factor 3 so the radius of the two circle will not be same and hence the diameter will also be different.

In translation  we have a similar figure ,So circle M and N will be similar.