Question

Circle G has center (-4,2) and a radius of 6.

Circle H has center (-3,5) and a radius of 2.

Drag the options to complete the transformations that will show that circle G is similar to circle H.

and

unit(s)

1. Translate circle G

units)

2. Dilate circle G by a scale factor of

4

를

1

3

4

down

left

right

up

Answer 1

1. Translate circle G T₍₁, ₃₎, 1 right, 3 up

2. Dilate circle 'G' by a scale factor of 1/3 ro

Explanation:

The parameters of the two circles are;

The center of circle G = (-4, 2)

The radius of circle G, r₁ = 6

The center of circle H = (-3, 5)

The radius of circle H, r₂ = 2

The transformations that will show that circle G is similar to circle H are;

1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'

Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎

2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁

Therefore;

S.F. = 2/6 = 1/3

The scale factor required to dilate circle 'G' to circle 'H' = 1/3

Therefore;

The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3