Parallel lines m and n are located 10 meters apart. How many points are equidistant from m and n and are also 5 meters from Point C?

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- anonymous

----------------------------------------------------------- m
------------------------------------------------------------ line p 5 meters from m
------------------------------------------------------------ n, 10 meters from m

- anonymous

all the points on line p are equidistant from bot m and n agreed?

- anonymous

ye

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- anonymous

yes**

- anonymous

so, if the point C is on line p, then there are two points 5 meters on either side of C on line P, which are equidistant from both m and n
But if C is anywhere else except on the line P, there is only one point on line p which is 5 meters from C which is equidistant from both m and n

- anonymous

okay..

- anonymous

C
------------------------------- line m
------------------------------- line p
------------------------------ line n
C
If C is either above line m or below line n, then it cannot be 5 meters away from line p. Do you understand how I made that assumption?

- anonymous

you see it's
m----------------
n-------POINT C----
thats how it looks on my page

- anonymous

so in your problem, you have a figure attached to the problem?
Point C is on line n is it?

- anonymous

yes

- anonymous

then there is only one point on line P which is 5 meters from point c. So if you draw a perpendicular line from line n to line p, the length of the perpendicular line will be 5 meters. The point where the perpendicular intersects line p is the only point which is 5 meters away from point c and also equidistant from both line m and line n

- anonymous

i'm sorry i don't understand:[ because there is no line p..

- anonymous

look at my drawing

- anonymous

okay

- anonymous

line p is in the middle of line m and line n correct? so all the points on line p are equidistant from line m and line n. are you with me so far?

- anonymous

yes

- anonymous

but we need to find out how many points are both equidistant from line m and n AND are 5 meters away. so what should you do to find out all the points 5 meters away from point c?

- anonymous

i was going to say distance formula..but thats wrong.

- anonymous

midpoint is wrong too...

- anonymous

Just tell me how you will find out all the points at a distance 5 meters from a point C.

- anonymous

Okay, can you tell me something you notice immediately about a circle?

- anonymous

http://www.dabbleboard.com/draw?b=Guest647186&i=3&c=35b82f7220eccd30893c4da4cc6e5786d86b987e
Join me there so I can explain better.

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