Question

Describe the locus of all points in a plane that are 9 cm from point M. circle M with a radius of 18 cm, circle M with a radius of 9 cm, square with 9 cm sides, square with 18 cm sides

Answer 1

you just follow the definition of a circle

circle := the set of all points that are equidistant from a point

Answer 2

the distance for that point to any point in the set is called the "radius"

Answer 3

and the point is called the center

Answer 4

long story short, the locus of all points 9cm from a point is a circle with radius 9cm

Answer 5

does that help ?

Answer 6

a little bit :), i'm still not sure how i solve it though

Answer 7

you don't solve it , it's a definition.

if you want to prove that it is not a square though, it is possible.

are you interested ?

Answer 8

sorry, the stuff about circles and squares after the first sentence, are possible answers

Answer 9

yes, I assumed that.

Answer 10

oh okay, i was just making sure that was clear cuz the sentence looked strange to me haha! okay i understand now :) thank you!

Answer 11

no problem :)

Answer 12

Describe the locus of all points that are 3 cm from a point m.
so would this be the same concept?

Answer 13

yep, circle with radius 3

Answer 14

but that isn't one of my options...

Answer 15

oh wait! yeah it is lol sorry

Answer 16

i do have some confustion about some of my options though

Answer 17

a line, 3 cm from line m, a pair of parallel lines, each parallel to and 3 cm from line m, a sphere with a radius of 3 cm, or a circle with a diameter of 6 cm

Answer 18

momo, it would be helpful to separate the answers from the questions by pressing enter

like this

Answer 19

so is the question
what is the locus of all the points 3cm away from line m ?

Answer 20

Describe the locus of all points that are 3 cm from a point m.

Answer 21

sorry for the confusion

Answer 22

if it is in a plane, then it is a circle with radius 3

if it is in a space, then it is a sphere with radius 3

Answer 23

it you are looking for the locus of all points 3cm away from a line,

then you have two lines that are parallel to line m

one 3cm above it and the other 3cm below it

Answer 24

if you draw a picture it makes sense
does that help ?

Answer 25

yes thank you!!