Answer:
A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
Step-by-step explanation:
A circle is defined as the set of points equidistant from a given point. Which means any circle is defined by only one length - the radius.
Proof:
• Move the center of the smaller circle (with centre E) onto the center of the larger circle (with centre C).
Translate circle E, by vector EC, onto circle C. The circles are now concentric (both circles have the same center).
• A dilation is needed to increase the size of circle E to coincide with circle C.
A specific scalefactor (number) is needed, so, that when you multiply radius r1 with that factor, it will result in radius r2.
• A translation, followed by a dilation with a certain scalefactor, will map circleE onto circleC, thus proving that the circles are similar.
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