(Geometry Question)
1. Determine the scale factor of dilation that maps circle A onto a circle congruent to circle B.
2. Determine the scale factor of a dilation that maps circle B onto a circle congruent to circle C.
3. Determine the scale factor of a dilation that maps circle C onto a circle congruent to circle A.
4. Use your work from #1-3 to determine the scale factor that maps any circle with radius r onto any circle congruent to circle with radius s.

Geometry Question 1 Determine the scale factor of dilation that maps circle A onto a circle congruent to circle B 2 Determine the scale factor of a dilation tha class=

Respuesta :

1 is 3/5
2 is 4/3
3 is 5/4
4 is s/r

The scale factors for each of the given dilations of the circles are;

1) 3/5

2) 4/3

3) 5/4

4) s/r

From the given diagram showing the circles, we see that;

Diameter of circle A = 10

Diameter of circle B = 6

Diameter of circle C = 8

  • 1) Scale factor to map circle A onto a circle congruent to circle B is = new diameter/original diameter = 6/10 = 3/5

  • 2) Scale factor of a dilation that maps circle B onto a circle congruent to circle C = new diameter/original diameter = 8/6 = 4/3

  • 3) The scale factor of a dilation that maps circle C onto a circle congruent to circle A = new diameter/original diameter = 10/8 = 5/4

  • 4) The scale factor that maps any circle with radius r onto any circle congruent to circle with radius s = s/r

Read more about dilation and scale factor at; https://brainly.com/question/10253650