MEDAL,FAN,MEDAL,FAN

Circle A has center of (5, −2) and a radius of 7, and circle B has a center of (7, −8) and a radius of 35. What steps will help show that circle A is similar to circle B?

Question

MEDAL,FAN,MEDAL,FAN

Circle A has center of (5, −2) and a radius of 7, and circle B has a center of (7, −8) and a radius of 35. What steps will help show that circle A is similar to circle B?

anonymous · Answer

@jdoe0001

anonymous · Answer

Rotate circle A 90° counterclockwise about the center.

 Translate circle A using the rule (x−2, y+6).

 Reflect circle A over the y-axis.

 Dilate circle A by a scale factor of 5.

anonymous · Answer

@jdoe0001  please help

jdoe0001 · Answer

what does it mean to be similar?

anonymous · Answer

to be the same

jdoe0001 · Answer

well, yes
for a shape that means, the shape has to be same shape as other

circles... well, you know all of them are round, so practically they're similar to each other already
but as far as circles go, SIMILARITY for circles includes size
so they have to be round, which all of them  are, otherwise they'd not be a circle
and they have to be the same size

jdoe0001 · Answer

notice your two circles

A
center of (5, −2) and a radius of 7, 
                                                          ^
B
center of (7, −8) and a radius of 35. 
                                                           ^

the center of any circle it's just a point, so it gives no dimension or size to it, just location on a plane

the radius on the other hand, the radius gives size,
notice how big one is in relation to the other

jdoe0001 · Answer

so... how would you make circle A (the smaller one) make it look the same size as circle B (the bigger one) ?

anonymous · Answer

Rotate circle A 90° counterclockwise about the center.?

jdoe0001 · Answer

hmm would rotating it make it bigger or smaller?

anonymous · Answer

my bad,smaller

jdoe0001 · Answer

they look more or less like so in the picture

jdoe0001 · Answer

dilate = enlarge = expand

anonymous · Answer

so it would be: Dilate circle A by a scale factor of 5.?

jdoe0001 · Answer

yes, if you dilate, or enlarge, the smaller one, it'd end up like the bigger one
similarity includes also to move the center to the same position, but it seems is not part of the exercise in this case

notice that from 7 to 35, the factor is    7 * 5 = 35, factor of 5
that is, 35 is 5 * 7, or 35 is 5 times bigger than 7

anonymous · Answer

ok thank you can you please help me with some other questions

jdoe0001 · Answer

well, if you post anew, gives you more exposure and we can revise each other

anonymous · Answer

ok will do