Question

Mark is making a drawing to show the circular route of a city tour bus. He marked the location of three places where the bus would stop, as shown below.



Part A: Using complete sentences, describe the method that he will use to construct a circle connecting these three locations.

Part B: Describe a method that can be used to prove that the center of the circle is correct.

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0810_28/image0024e68bde3.jpg

Answer 2

If you look at the figure for the question I helped you with previously, you will see a big hint.

Answer 3

Ok, I'll look at it!

Answer 4

Here is a hint:
take two points and draw a line between them
find the midpoint of the line segment
draw a perpendicular through that point
every point on the perpendicular is equally distant from the two original points

Answer 5

I'll be making a circumscribed circle, of which I have to find the median of each line segment, find the intersection point, and then extending my compass to any one of those buildings, draw the circle. Is that right?

Answer 6

And that's the whole process?

Answer 7

The idea is that if a circle has 3 points along its perimeter, the origin of that circle is the same distance from each point. Do you see that?

Answer 8

Yes.

Answer 9

So, take two points and do the process I described above.
Take two other points (of the 3) and repeat. Find where those two lines cross. That is the origin.

Answer 10

Thank you!!!!