Geometry chapter 7

Question

True or false questions

Are all circles similar

Is a similarity transformation that maps one circle onto another must include a rotation

Is there always a similarity transformation that will map one circle onto another

these are true or false questions

please and thank you

Answer 1

Similar: yes

No; as long as you give radius/degrees.

No.

Answer 2

True - all circles are similar

False - Is a similarity transformation that maps one circle onto another must include a rotation. Rotation and Since a circle consists of every point a certain distance away from the center of the circle, rotating a circle would have no effect.

True - Is there always a similarity transformation that will map one circle onto another. Similarity is determined by ratio of radii.