Question

Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help show that circle A is similar to circle B (6 points)

Translate circle A using the rule (x − 3, y + 4).
Rotate circle A 270° about the center.
Reflect circle A over the line x=1
Dilate circle A by a scale factor of 5.

Answer 1

I answered a very very similar question with slightly different numbers just yesterday hmm

Answer 2

What do you think?

These are your two circles
https://www.desmos.com/calculator/pfwsh730hm

How would you prove that the circles are similar?

If they're similar, they're going to be the same shape and the way to prove it is by shrinking or making it larger and showing that it would be the same as the other shape

Answer 3

I believe the answer is c

Answer 4

No, that's not correct

Similar means it's similar in terms of the shape. Like a tiny circle and a large circle are going to be similar if you show that the shape is the same. To show that the shape is the same, you have to shrink it or dilate it so that way it's the same size to show that the shape is the same.

Congruent would mean that the two shapes are the exact same size

Answer 5

so A

Answer 6

if you translate it, have you shown that the shapes are actually the same though?

Answer 7

The circles would still be the same

You just moved it around when you translate it

To show that the circle is similar you need to make it larger to show that the shape is the same

Look, let me show you with squares



we have two squares

are they similar?

the only way to know is by making the smaller square larger and then comparing to see that it is the same shape

Answer 8

otherwise, imagine if we had something like this

and when you make the other quadrilateral on the left side larger, you see that the shape is not the same

so these two figures are NOT similar

Answer 9

So was A correct?

Answer 10

No... did you read what I wrote?

Answer 11

do you know what dilation means?