Question

circle A has a center of (4,5) and a radius of 3 and circle B has a center of(1,7) and a radius of 9 What steps will help show that the circles are similar

Answer 1

Answer:

Translation and dilation.

Step-by-step explanation:

Figure 1 shows Circles A (red) and B (blue) before any transformations.

Step 1. Translate the centre of circle A from (4,5) to (1,7).

The circles are now concentric (Fig. 2).

Step 2. Dilate the radius of Circle A by a factor of 9/3.

r₁×9/3 ⟶ r₂, so every point of the dilated circle coincides with an identical point on Circle B (Fig. 3).

The translation, followed by a dilation with scale factor r₂/r₁, mapped Circle A onto Circle B, so the two circles are similar.