Question

Josephine is constructing a circle circumscribed about triangle XYZ. She uses the following sequence of steps to construct the circle.
1. She constructs the perpendicular bisectors of two sides.
2. She finds their point of intersection, P.
3. She uses a compass, with the fixed end on X, to draw a circle passing through point P.
Did Josephine make any errors while constructing the circle?
OA. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point x.
OB. No, she did not make any errors.
OC.
Yes, she should have constructed the angle bisectors.
ज
OD.
Yes, she should have found the perpendicular bisectors of all 3 sides.

Answer 1

Answer:

A

Step-by-step explanation:

there is not much more to say.

the point where actually all 3 line bisectors intersect, is also called the "circumcenter". I guess you understand what that means : it is the center of the circle circumscribing the whole triangle (passing through all 3 corners/vertices).

once you find that point with 2 line bisectors, there is no need to construct the third - it WILL intersect the others at the same point.