Question

Which steps would prove the circles similar?

a) Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
b) Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
c) Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
d) Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.

Answer 1

To prove similarity between two circles, they must have the same shape and can differ only in size. This can be done by translating one circle to share the same center as the other and dilating it using an appropriate scale factor.

Step-by-step explanation:

To prove that two circles are similar, it is necessary to show that they have the same shape but may differ only in size. This can be achieved by scaling one circle by a particular scale factor and translating it so that it shares the same center as the other circle. Therefore, among the given options, the correct steps would be to translate the circles so they share a common center point, and dilate circle Y by the appropriate scale factor to match the other circle's size.