Question

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!


Please determine if it is true or false and than explain why it is true or false.

Answer 1

a) False. This can be proven by the fact that a rotation around a point (not necessarily on the circles) can map 2 circles onto each other.

b) False. Rotations, reflections, and dilations (the last one applies if the circles have different radii) can map one circle onto another.

c) True. All circles are a uniform distance (the radius) from a point (the center), so there is only one length that defines a circle, the radius. Since a:b = a:b, where a = the radius of one circle while b = radius of another circle, that means that 2 circles will always be similar (because all corresponding lengths are in the same ratio)

Hope that helped!