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Mathematics 7 Online
OpenStudy (anonymous):

Kevin and Jamal are both working on a construction of a circle circumscribed about a triangle. Kevin starts by finding the angle bisectors of each angle in the triangle. Jamal starts by finding the perpendicular bisectors of each side of the triangle. Whose construction will be correct? What additional steps must be taken to complete the construction of the circumscribed circle?

OpenStudy (cwrw238):

Hint: the perpendicular bisector of a chord of a circle passes through the circle's centre

OpenStudy (anonymous):

@cwrw238 Jamal is correct right?

OpenStudy (anonymous):

@cwrw238

OpenStudy (anonymous):

@CGGURUMANJUNATH help

OpenStudy (cggurumanjunath):

YES.JAMAL IS CORRECT.

OpenStudy (anonymous):

additional steps Repeat for the another side. Any one will do. The point where these two perpendiculars intersect is the triangle's circumcenter, the center of the circle we desire. Place the compass point on the intersection of the perpendiculars and set the compass width to one of the points A,B or C. Draw a circle that will pass through all three. Done. The circle drawn is the triangle's circumcircle, the only circle that will pass through all three of its vertices.

OpenStudy (cggurumanjunath):

POST AS A NEW Q.

OpenStudy (anonymous):

huh

OpenStudy (anonymous):

@cwrw238

OpenStudy (anonymous):

part 2 of the question What additional steps must be taken to complete the construction of the circumscribed circle? additional steps Repeat for the another side. Any one will do. The point where these two perpendiculars intersect is the triangle's circumcenter, the center of the circle we desire. Place the compass point on the intersection of the perpendiculars and set the compass width to one of the points A,B or C. Draw a circle that will pass through all three. Done. The circle drawn is the triangle's circumcircle, the only circle that will pass through all three of its vertices.

OpenStudy (anonymous):

@cwrw238

OpenStudy (cwrw238):

yes thats correct

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