10 points)
(07.01 HC)
Prove that the two circles shown below are similar.
Essay question

The circles are similar.

Step-by-step explanation:

You can move the small circle 3 units to the right and then 5 units up. The center of the small circle will also be the center of the larger circle. Then you dilate the small circle by a scale factor of 5 to get the larger circle.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)