Question

A circle with radius 5 and a center at (2, 3) was transformed to a circle with radius 10 and a center of (‒1, 4).

Show that the two circles are similar by describing the transformations that would have to be performed.

Answer 1

First of all, remember that all circles are similar to each other regardless of how to twist the cartesian plane.

Let the origin in first case(radius 5) be at (0,0) , so if we shift the origin to (2-(-1),3-(4)) = (3,-1) {shifting origin to shift the first circle to second's place}. So, we arrive at a circle of radius 5 and center (-1,4).

Since similarly has no constraints on size comparison increase the radius to 10 units. Thus we arrive at the circle of radius 10 and center (-1,4).

Explanation:

First of all, remember that all circles are similar to each other regardless of how to twist the cartesian plane.

Answer 2

At least I made a graphic.