Question

Why is circle 1 similar to circle 2?

Circle 1: center (−1, 10) and radius 4.8

Circle 2: center (−1, 10) and radius 1.2

A. Circle 1 is a dilation of circle 2 with a scale factor of 4.

B. Circle 1 is congruent to circle 2.

C. Circle 1 and circle 2 have the same center.

D. Circle 2 is a dilation of circle 1 with a scale factor of 3.6.

Answer 1

@umm

Answer 2

Hint: The center of circle 1 is (-1,10). The center of circle 2 is also (-1,10). Notice, I didn't mention anything that wasn't already given.

Answer 3

noted, is it known to be A ?

Answer 4

Read all four choices outloud many times.

Answer 5

The circles have different radius, so they are not congruent

Answer 6

The problem mentions that they are "similar" though. You're supposed to figure out the reason why. And I gave you a huge hint.

Answer 7

But I'll give you another one in case of doubt. Research "concentric circles".

Answer 8

Ok i seem to get it

I see that all circles are similar and they are all dilations of one another

Answer 9

When it says circle one has a center of (-1,10) and circle 2 also has a center of circle (-1,10), what does that mean?

Answer 10

Hint: The answer to that question is in the answer choices.

Answer 11

Circle 1 and circle 2 have the same center

Answer 12

Yep it was that obvious. Not every math problem is a great mystery to be figured out. There really are two kinds: Great mysteries and Blatant Obvious

Answer 13

Which transformations can be used to show that circle P is similar to circle Q?

Circle P: center (2, −3) and radius 4

Circle Q: center (2, 3) and radius 28



Select each correct answer.


A. Circle Q is a translation of circle P, 6 units up.

B. Circle P is a dilation of circle Q with a scale factor of 24.

C. Circle Q is a translation of circle P, 6 units left.

D. Circle Q is a dilation of circle P with a scale factor of 7.

is it A and D ?

Answer 14

I recommend you install Geogebra and work this one out on your own. It would be a great learning experience for you.

Answer 15

i know i'm checking my answers

Answer 16

Geogebra is a great way to check your answers