Question

Circle 1 is centered at (5, 8) and has a radius of 8 centimeters. Circle 2 is centered at (1, −2) and has a radius of 4 centimeters.

What transformations can be applied to Circle 1 to prove that the circles are similar?

Enter your answers in the boxes.

The circles are similar because you can translate Circle 1 using the transformation rule ( _ , _ ) and then dilate it using a scale factor of __.

Answer 1

See below ~

Explanation:

Change in x :

• 1 - 5
• -4

Change in y :

• -2 - 8
• -10

Scale factor :

• 4/8
• 1/2
• 0.5

The circles are similar because you can translate Circle 1 using the transformation rule (x - 4 , y - 10) and then dilate it using a scale factor of 0.5.