we have that
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)
