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

This is what I have for Part A: Take points H and M and draw a line between them. Find the midpoint of the line segment by placing the compass on point H and swinging an arc above and below, keeping it the same width put it on point M and do that same. Draw a through those points. Repeat this with the other segments. Where they all intersect is you center. Place your compass at the center and at one of the point swing one big arc through all of the points until you reach the beginning again. Is that correct? I'm not sure what to say for Part B.

Answer 2

@Luigi0210 @tcarroll010 @KingGeorge can you help please?

Answer 3

@KingGeorge you know how to do these?

Answer 4

Maybe. I've never really done too much with constructions though.

Answer 5

I'm pretty sure your solution for A is correct.

Answer 6

Ok do you know about what to do for B?

Answer 7

Well, to prove it's correct, you should be able to just use some of the stuff you've learned in class and do a two-column proof.

Answer 8

Ok thanks! :)

Answer 9

I think you should be able to prove it using some facts about chords of circles and perpendicular bisectors.

Answer 10

Oh yea! thanks so much!

Answer 11

You're welcome.