Prove that the two circles shown below are similar. Circle B is shown with a center at negative 1, 5 and a radius of 4.
Circle D is shown with a center of 7, 4 and a radius of 2.

Proved

Step-by-step explanation:

Given

Circle B

--- center

---radius

Circle D

--- center

---radius

Required

Prove the similarity

First, we shift circle B, 8 units right.

The rule is:

So, we have:

Next, we shift the resulting image of B, 1 unit down.

The rule is:

So, we have:

At this point, both circles have the same center

Compress the image of B by a dilation of 1/2.

This only affects the radius.

i.e.

Now, the have the same center and the same radii.

Proved

damm bro the struggle

step-by-step explanation: